id sid tid token lemma pos cana-1918 1 1 etasr etasr PROPN cana-1918 1 2 template template NOUN cana-1918 1 3 communications communication NOUN cana-1918 1 4 on on ADP cana-1918 1 5 applied apply VERB cana-1918 1 6 nonlinear nonlinear ADJ cana-1918 1 7 analysis analysis NOUN cana-1918 1 8 issn issn NOUN cana-1918 1 9 : : PUNCT cana-1918 1 10 1074 1074 NUM cana-1918 1 11 - - PUNCT cana-1918 1 12 133x 133x NUM cana-1918 1 13 vol vol NOUN cana-1918 1 14 32 32 NUM cana-1918 1 15 no no NOUN cana-1918 1 16 . . NOUN cana-1918 1 17 2 2 NUM cana-1918 1 18 ( ( PUNCT cana-1918 1 19 2025 2025 NUM cana-1918 1 20 ) ) PUNCT cana-1918 1 21 732 732 NUM cana-1918 1 22 https://internationalpubls.com https://internationalpubls.com X cana-1918 1 23 secure secure ADJ cana-1918 1 24 and and CCONJ cana-1918 1 25 efficient efficient ADJ cana-1918 1 26 data datum NOUN cana-1918 1 27 hiding hide VERB cana-1918 1 28 in in ADP cana-1918 1 29 the the DET cana-1918 1 30 cloud cloud NOUN cana-1918 1 31 with with ADP cana-1918 1 32 quantum quantum NOUN cana-1918 1 33 - - PUNCT cana-1918 1 34 resistant resistant ADJ cana-1918 1 35 encryption encryption NOUN cana-1918 1 36 mrs mrs PROPN cana-1918 1 37 . . PROPN cana-1918 1 38 salma salma PROPN cana-1918 1 39 banu1 banu1 PROPN cana-1918 1 40 , , PUNCT cana-1918 1 41 dr dr PROPN cana-1918 1 42 . . PROPN cana-1918 1 43 vijayalaxmi vijayalaxmi PROPN cana-1918 1 44 biradar2 biradar2 PROPN cana-1918 1 45 , , PUNCT cana-1918 1 46 arshad arshad PROPN cana-1918 1 47 ahmad ahmad PROPN cana-1918 1 48 khan khan PROPN cana-1918 1 49 mohammad3 mohammad3 PROPN cana-1918 1 50 , , PUNCT cana-1918 1 51 1research 1research NUM cana-1918 1 52 scholar scholar NOUN cana-1918 1 53 , , PUNCT cana-1918 1 54 kaling kaling PROPN cana-1918 1 55 university university PROPN cana-1918 1 56 , , PUNCT cana-1918 1 57 salmabanuphdece@gmail.com salmabanuphdece@gmail.com X cana-1918 2 1 2associate 2associate NUM cana-1918 2 2 professor professor NOUN cana-1918 2 3 , , PUNCT cana-1918 2 4 kalinga kalinga PROPN cana-1918 2 5 university university PROPN cana-1918 2 6 3assistant 3assistant PROPN cana-1918 2 7 professor professor NOUN cana-1918 2 8 , , PUNCT cana-1918 2 9 gitam gitam PROPN cana-1918 2 10 deemed deem VERB cana-1918 2 11 to to PART cana-1918 2 12 be be AUX cana-1918 2 13 university university NOUN cana-1918 2 14 article article NOUN cana-1918 2 15 history history NOUN cana-1918 2 16 : : PUNCT cana-1918 2 17 received receive VERB cana-1918 2 18 : : PUNCT cana-1918 2 19 18 18 NUM cana-1918 2 20 - - SYM cana-1918 2 21 07 07 NUM cana-1918 2 22 - - PUNCT cana-1918 2 23 2024 2024 NUM cana-1918 2 24 revised revise VERB cana-1918 2 25 : : PUNCT cana-1918 2 26 09 09 NUM cana-1918 2 27 - - SYM cana-1918 2 28 09 09 NUM cana-1918 2 29 - - PUNCT cana-1918 2 30 2024 2024 NUM cana-1918 2 31 accepted accept VERB cana-1918 2 32 : : PUNCT cana-1918 2 33 29 29 NUM cana-1918 2 34 - - SYM cana-1918 2 35 09 09 NUM cana-1918 2 36 - - PUNCT cana-1918 2 37 2024 2024 NUM cana-1918 2 38 abstract abstract NOUN cana-1918 2 39 : : PUNCT cana-1918 2 40 traditional traditional ADJ cana-1918 2 41 steganographic steganographic ADJ cana-1918 2 42 methods method NOUN cana-1918 2 43 in in ADP cana-1918 2 44 multi multi ADJ cana-1918 2 45 - - ADJ cana-1918 2 46 cloud cloud ADJ cana-1918 2 47 environments environment NOUN cana-1918 2 48 face face VERB cana-1918 2 49 significant significant ADJ cana-1918 2 50 challenges challenge NOUN cana-1918 2 51 in in ADP cana-1918 2 52 cloud cloud ADJ cana-1918 2 53 security security NOUN cana-1918 2 54 , , PUNCT cana-1918 2 55 including include VERB cana-1918 2 56 complex complex ADJ cana-1918 2 57 key key ADJ cana-1918 2 58 management management NOUN cana-1918 2 59 , , PUNCT cana-1918 2 60 high high ADJ cana-1918 2 61 computational computational ADJ cana-1918 2 62 overhead overhead NOUN cana-1918 2 63 , , PUNCT cana-1918 2 64 and and CCONJ cana-1918 2 65 vulnerabilities vulnerability NOUN cana-1918 2 66 to to ADP cana-1918 2 67 various various ADJ cana-1918 2 68 attacks attack NOUN cana-1918 2 69 regaring regare VERB cana-1918 2 70 secure secure ADJ cana-1918 2 71 data datum NOUN cana-1918 2 72 concealment concealment NOUN cana-1918 2 73 . . PUNCT cana-1918 3 1 this this DET cana-1918 3 2 paper paper NOUN cana-1918 3 3 presents present VERB cana-1918 3 4 a a DET cana-1918 3 5 novel novel ADJ cana-1918 3 6 steganographic steganographic ADJ cana-1918 3 7 mechanism mechanism NOUN cana-1918 3 8 tailored tailor VERB cana-1918 3 9 for for ADP cana-1918 3 10 single single ADJ cana-1918 3 11 cloud cloud ADJ cana-1918 3 12 environments environment NOUN cana-1918 3 13 that that PRON cana-1918 3 14 address address VERB cana-1918 3 15 these these DET cana-1918 3 16 issues issue NOUN cana-1918 3 17 . . PUNCT cana-1918 4 1 the the DET cana-1918 4 2 proposed propose VERB cana-1918 4 3 mechanism mechanism NOUN cana-1918 4 4 leverages leverage VERB cana-1918 4 5 a a DET cana-1918 4 6 combination combination NOUN cana-1918 4 7 of of ADP cana-1918 4 8 homomorphic homomorphic ADJ cana-1918 4 9 encryption encryption NOUN cana-1918 4 10 , , PUNCT cana-1918 4 11 elliptic elliptic ADJ cana-1918 4 12 curve curve NOUN cana-1918 4 13 cryptography cryptography NOUN cana-1918 4 14 ( ( PUNCT cana-1918 4 15 ecc ecc PROPN cana-1918 4 16 ) ) PUNCT cana-1918 4 17 , , PUNCT cana-1918 4 18 and and CCONJ cana-1918 4 19 lattice lattice NOUN cana-1918 4 20 - - PUNCT cana-1918 4 21 based base VERB cana-1918 4 22 cryptographic cryptographic ADJ cana-1918 4 23 techniques technique NOUN cana-1918 4 24 to to PART cana-1918 4 25 ensure ensure VERB cana-1918 4 26 robust robust ADJ cana-1918 4 27 security security NOUN cana-1918 4 28 against against ADP cana-1918 4 29 classical classical ADJ cana-1918 4 30 and and CCONJ cana-1918 4 31 quantum quantum NOUN cana-1918 4 32 attacks attack NOUN cana-1918 4 33 . . PUNCT cana-1918 5 1 confining confine VERB cana-1918 5 2 operations operation NOUN cana-1918 5 3 to to ADP cana-1918 5 4 a a DET cana-1918 5 5 single single ADJ cana-1918 5 6 cloud cloud NOUN cana-1918 5 7 simplifies simplifie NOUN cana-1918 5 8 credential credential ADJ cana-1918 5 9 and and CCONJ cana-1918 5 10 key key ADJ cana-1918 5 11 management management NOUN cana-1918 5 12 , , PUNCT cana-1918 5 13 reducing reduce VERB cana-1918 5 14 operational operational ADJ cana-1918 5 15 complexity complexity NOUN cana-1918 5 16 and and CCONJ cana-1918 5 17 enhancing enhance VERB cana-1918 5 18 system system NOUN cana-1918 5 19 efficiency efficiency NOUN cana-1918 5 20 . . PUNCT cana-1918 6 1 the the DET cana-1918 6 2 proposed propose VERB cana-1918 6 3 approach approach NOUN cana-1918 6 4 mitigates mitigate VERB cana-1918 6 5 the the DET cana-1918 6 6 risks risk NOUN cana-1918 6 7 associated associate VERB cana-1918 6 8 with with ADP cana-1918 6 9 multi multi ADJ cana-1918 6 10 - - ADJ cana-1918 6 11 cloud cloud ADJ cana-1918 6 12 environments environment NOUN cana-1918 6 13 and and CCONJ cana-1918 6 14 offers offer VERB cana-1918 6 15 strong strong ADJ cana-1918 6 16 resistance resistance NOUN cana-1918 6 17 to to ADP cana-1918 6 18 brute brute ADJ cana-1918 6 19 - - PUNCT cana-1918 6 20 force force NOUN cana-1918 6 21 , , PUNCT cana-1918 6 22 differential differential ADJ cana-1918 6 23 , , PUNCT cana-1918 6 24 and and CCONJ cana-1918 6 25 steganalysis steganalysis NOUN cana-1918 6 26 attacks attack NOUN cana-1918 6 27 . . PUNCT cana-1918 7 1 the the DET cana-1918 7 2 implementation implementation NOUN cana-1918 7 3 and and CCONJ cana-1918 7 4 validation validation NOUN cana-1918 7 5 of of ADP cana-1918 7 6 the the DET cana-1918 7 7 mechanism mechanism NOUN cana-1918 7 8 demonstrate demonstrate VERB cana-1918 7 9 its its PRON cana-1918 7 10 efficacy efficacy NOUN cana-1918 7 11 in in ADP cana-1918 7 12 maintaining maintain VERB cana-1918 7 13 data datum NOUN cana-1918 7 14 integrity integrity NOUN cana-1918 7 15 , , PUNCT cana-1918 7 16 confidentiality confidentiality NOUN cana-1918 7 17 , , PUNCT cana-1918 7 18 and and CCONJ cana-1918 7 19 availability availability NOUN cana-1918 7 20 while while SCONJ cana-1918 7 21 minimizing minimize VERB cana-1918 7 22 computational computational ADJ cana-1918 7 23 resources resource NOUN cana-1918 7 24 . . PUNCT cana-1918 8 1 the the DET cana-1918 8 2 results result NOUN cana-1918 8 3 indicate indicate VERB cana-1918 8 4 that that SCONJ cana-1918 8 5 this this DET cana-1918 8 6 approach approach NOUN cana-1918 8 7 significantly significantly ADV cana-1918 8 8 improves improve VERB cana-1918 8 9 the the DET cana-1918 8 10 security security NOUN cana-1918 8 11 and and CCONJ cana-1918 8 12 performance performance NOUN cana-1918 8 13 of of ADP cana-1918 8 14 steganographic steganographic ADJ cana-1918 8 15 operations operation NOUN cana-1918 8 16 in in ADP cana-1918 8 17 cloud cloud ADJ cana-1918 8 18 storage storage NOUN cana-1918 8 19 environments environment NOUN cana-1918 8 20 , , PUNCT cana-1918 8 21 setting set VERB cana-1918 8 22 a a DET cana-1918 8 23 new new ADJ cana-1918 8 24 standard standard NOUN cana-1918 8 25 for for ADP cana-1918 8 26 secure secure ADJ cana-1918 8 27 data datum NOUN cana-1918 8 28 concealment concealment NOUN cana-1918 8 29 in in ADP cana-1918 8 30 cloud cloud NOUN cana-1918 8 31 computing computing NOUN cana-1918 8 32 . . PUNCT cana-1918 9 1 keywords keyword NOUN cana-1918 9 2 : : PUNCT cana-1918 9 3 component component NOUN cana-1918 9 4 , , PUNCT cana-1918 9 5 cloud cloud NOUN cana-1918 9 6 , , PUNCT cana-1918 9 7 quantum quantum NOUN cana-1918 9 8 - - PUNCT cana-1918 9 9 resistant resistant ADJ cana-1918 9 10 encryption encryption NOUN cana-1918 9 11 1 1 NUM cana-1918 9 12 . . PUNCT cana-1918 9 13 introduction introduction NOUN cana-1918 9 14 the the DET cana-1918 9 15 rise rise NOUN cana-1918 9 16 of of ADP cana-1918 9 17 cloud cloud NOUN cana-1918 9 18 computing computing NOUN cana-1918 9 19 has have AUX cana-1918 9 20 changed change VERB cana-1918 9 21 how how SCONJ cana-1918 9 22 data datum NOUN cana-1918 9 23 is be AUX cana-1918 9 24 stored store VERB cana-1918 9 25 and and CCONJ cana-1918 9 26 managed manage VERB cana-1918 9 27 , , PUNCT cana-1918 9 28 making make VERB cana-1918 9 29 it it PRON cana-1918 9 30 easier easy ADJ cana-1918 9 31 to to PART cana-1918 9 32 reach reach VERB cana-1918 9 33 , , PUNCT cana-1918 9 34 scale scale NOUN cana-1918 9 35 , , PUNCT cana-1918 9 36 and and CCONJ cana-1918 9 37 be be AUX cana-1918 9 38 flexible flexible ADJ cana-1918 9 39 than than ADP cana-1918 9 40 ever ever ADV cana-1918 9 41 before before ADP cana-1918 9 42 [ [ X cana-1918 9 43 1 1 NUM cana-1918 9 44 ] ] PUNCT cana-1918 9 45 . . PUNCT cana-1918 10 1 but but CCONJ cana-1918 10 2 the the DET cana-1918 10 3 move move NOUN cana-1918 10 4 to to ADP cana-1918 10 5 cloud cloud NOUN cana-1918 10 6 - - PUNCT cana-1918 10 7 based base VERB cana-1918 10 8 systems system NOUN cana-1918 10 9 has have AUX cana-1918 10 10 also also ADV cana-1918 10 11 brought bring VERB cana-1918 10 12 about about ADP cana-1918 10 13 big big ADJ cana-1918 10 14 security security NOUN cana-1918 10 15 problems problem NOUN cana-1918 10 16 , , PUNCT cana-1918 10 17 especially especially ADV cana-1918 10 18 when when SCONJ cana-1918 10 19 it it PRON cana-1918 10 20 comes come VERB cana-1918 10 21 to to ADP cana-1918 10 22 keeping keep VERB cana-1918 10 23 private private ADJ cana-1918 10 24 data datum NOUN cana-1918 10 25 safe safe ADJ cana-1918 10 26 from from ADP cana-1918 10 27 attacks attack NOUN cana-1918 10 28 and and CCONJ cana-1918 10 29 access access NOUN cana-1918 10 30 by by ADP cana-1918 10 31 people people NOUN cana-1918 10 32 who who PRON cana-1918 10 33 should should AUX cana-1918 10 34 n't not PART cana-1918 10 35 have have VERB cana-1918 10 36 it it PRON cana-1918 10 37 . . PUNCT cana-1918 11 1 traditional traditional ADJ cana-1918 11 2 steganographic steganographic ADJ cana-1918 11 3 methods method NOUN cana-1918 11 4 , , PUNCT cana-1918 11 5 which which PRON cana-1918 11 6 are be AUX cana-1918 11 7 often often ADV cana-1918 11 8 used use VERB cana-1918 11 9 in in ADP cana-1918 11 10 multi multi ADJ cana-1918 11 11 - - ADJ cana-1918 11 12 cloud cloud ADJ cana-1918 11 13 environments environment NOUN cana-1918 11 14 , , PUNCT cana-1918 11 15 have have AUX cana-1918 11 16 tried try VERB cana-1918 11 17 to to PART cana-1918 11 18 solve solve VERB cana-1918 11 19 these these DET cana-1918 11 20 problems problem NOUN cana-1918 11 21 by by ADP cana-1918 11 22 hiding hide VERB cana-1918 11 23 private private ADJ cana-1918 11 24 information information NOUN cana-1918 11 25 in in ADP cana-1918 11 26 material material NOUN cana-1918 11 27 that that PRON cana-1918 11 28 looks look VERB cana-1918 11 29 harmless harmless ADJ cana-1918 11 30 and and CCONJ cana-1918 11 31 is be AUX cana-1918 11 32 shared share VERB cana-1918 11 33 across across ADP cana-1918 11 34 multiple multiple ADJ cana-1918 11 35 cloud cloud NOUN cana-1918 11 36 platforms platform NOUN cana-1918 12 1 [ [ X cana-1918 12 2 4 4 NUM cana-1918 12 3 ] ] PUNCT cana-1918 12 4 . . PUNCT cana-1918 13 1 these these DET cana-1918 13 2 methods method NOUN cana-1918 13 3 add add VERB cana-1918 13 4 an an DET cana-1918 13 5 extra extra ADJ cana-1918 13 6 layer layer NOUN cana-1918 13 7 of of ADP cana-1918 13 8 security security NOUN cana-1918 13 9 , , PUNCT cana-1918 13 10 but but CCONJ cana-1918 13 11 they they PRON cana-1918 13 12 also also ADV cana-1918 13 13 make make VERB cana-1918 13 14 things thing NOUN cana-1918 13 15 more more ADV cana-1918 13 16 difficult difficult ADJ cana-1918 13 17 by by ADP cana-1918 13 18 making make VERB cana-1918 13 19 it it PRON cana-1918 13 20 hard hard ADJ cana-1918 13 21 to to PART cana-1918 13 22 handle handle VERB cana-1918 13 23 keys key NOUN cana-1918 13 24 , , PUNCT cana-1918 13 25 using use VERB cana-1918 13 26 a a DET cana-1918 13 27 lot lot NOUN cana-1918 13 28 of of ADP cana-1918 13 29 extra extra ADJ cana-1918 13 30 computing computing NOUN cana-1918 13 31 , , PUNCT cana-1918 13 32 and and CCONJ cana-1918 13 33 leaving leave VERB cana-1918 13 34 you you PRON cana-1918 13 35 open open ADJ cana-1918 13 36 to to ADP cana-1918 13 37 complex complex ADJ cana-1918 13 38 attacks attack NOUN cana-1918 13 39 . . PUNCT cana-1918 14 1 in in ADP cana-1918 14 2 theory theory NOUN cana-1918 14 3 , , PUNCT cana-1918 14 4 multi multi ADJ cana-1918 14 5 - - ADJ cana-1918 14 6 cloud cloud ADJ cana-1918 14 7 strategies strategy NOUN cana-1918 14 8 are be AUX cana-1918 14 9 better well ADJ cana-1918 14 10 at at ADP cana-1918 14 11 spreading spread VERB cana-1918 14 12 risk risk NOUN cana-1918 14 13 , , PUNCT cana-1918 14 14 but but CCONJ cana-1918 14 15 because because SCONJ cana-1918 14 16 they they PRON cana-1918 14 17 need need VERB cana-1918 14 18 to to PART cana-1918 14 19 handle handle VERB cana-1918 14 20 multiple multiple ADJ cana-1918 14 21 sets set NOUN cana-1918 14 22 of of ADP cana-1918 14 23 credentials credential NOUN cana-1918 14 24 and and CCONJ cana-1918 14 25 encryption encryption NOUN cana-1918 14 26 keys key NOUN cana-1918 14 27 , , PUNCT cana-1918 14 28 they they PRON cana-1918 14 29 are be AUX cana-1918 14 30 often often ADV cana-1918 14 31 less less ADV cana-1918 14 32 efficient efficient ADJ cana-1918 14 33 and and CCONJ cana-1918 14 34 pose pose VERB cana-1918 14 35 more more ADJ cana-1918 14 36 security security NOUN cana-1918 14 37 risks risk NOUN cana-1918 14 38 [ [ X cana-1918 14 39 2,3 2,3 NUM cana-1918 14 40 ] ] PUNCT cana-1918 14 41 . . PUNCT cana-1918 15 1 dependence dependence NOUN cana-1918 15 2 on on ADP cana-1918 15 3 different different ADJ cana-1918 15 4 cloud cloud NOUN cana-1918 15 5 service service NOUN cana-1918 15 6 providers provider NOUN cana-1918 15 7 can can AUX cana-1918 15 8 also also ADV cana-1918 15 9 cause cause VERB cana-1918 15 10 security security NOUN cana-1918 15 11 policies policy NOUN cana-1918 15 12 to to PART cana-1918 15 13 be be AUX cana-1918 15 14 inconsistent inconsistent ADJ cana-1918 15 15 , , PUNCT cana-1918 15 16 which which PRON cana-1918 15 17 makes make VERB cana-1918 15 18 setting set VERB cana-1918 15 19 up up ADP cana-1918 15 20 a a DET cana-1918 15 21 unified unified ADJ cana-1918 15 22 security security NOUN cana-1918 15 23 strategy strategy NOUN cana-1918 15 24 even even ADV cana-1918 15 25 harder hard ADV cana-1918 15 26 . . PUNCT cana-1918 16 1 to to PART cana-1918 16 2 keep keep VERB cana-1918 16 3 private private ADJ cana-1918 16 4 information information NOUN cana-1918 16 5 safe safe ADJ cana-1918 16 6 in in ADP cana-1918 16 7 the the DET cana-1918 16 8 cloud cloud NOUN cana-1918 16 9 , , PUNCT cana-1918 16 10 we we PRON cana-1918 16 11 need need VERB cana-1918 16 12 steganography steganography NOUN cana-1918 16 13 methods method NOUN cana-1918 16 14 that that PRON cana-1918 16 15 are be AUX cana-1918 16 16 easier easy ADJ cana-1918 16 17 to to PART cana-1918 16 18 use use VERB cana-1918 16 19 , , PUNCT cana-1918 16 20 safer safe ADJ cana-1918 16 21 , , PUNCT cana-1918 16 22 and and CCONJ cana-1918 16 23 more more ADV cana-1918 16 24 effective effective ADJ cana-1918 16 25 as as ADP cana-1918 16 26 cloud cloud ADJ cana-1918 16 27 computing computing NOUN cana-1918 16 28 increases increase NOUN cana-1918 16 29 [ [ X cana-1918 16 30 6,7 6,7 NUM cana-1918 16 31 ] ] PUNCT cana-1918 16 32 . . PUNCT cana-1918 17 1 in in ADP cana-1918 17 2 this this DET cana-1918 17 3 study study NOUN cana-1918 17 4 , , PUNCT cana-1918 17 5 we we PRON cana-1918 17 6 proposed propose VERB cana-1918 17 7 a a DET cana-1918 17 8 new new ADJ cana-1918 17 9 way way NOUN cana-1918 17 10 to to PART cana-1918 17 11 hide hide VERB cana-1918 17 12 information information NOUN cana-1918 17 13 that that PRON cana-1918 17 14 works work VERB cana-1918 17 15 only only ADV cana-1918 17 16 in in ADP cana-1918 17 17 a a DET cana-1918 17 18 single single ADJ cana-1918 17 19 cloud cloud NOUN cana-1918 17 20 , , PUNCT cana-1918 17 21 which which PRON cana-1918 17 22 would would AUX cana-1918 17 23 solve solve VERB cana-1918 17 24 some some PRON cana-1918 17 25 of of ADP cana-1918 17 26 the the DET cana-1918 17 27 problems problem NOUN cana-1918 17 28 with with ADP cana-1918 17 29 current current ADJ cana-1918 17 30 multi multi ADJ cana-1918 17 31 - - ADJ cana-1918 17 32 cloud cloud ADJ cana-1918 17 33 methods method NOUN cana-1918 17 34 . . PUNCT cana-1918 18 1 advanced advanced ADJ cana-1918 18 2 cryptography cryptography NOUN cana-1918 18 3 methods method NOUN cana-1918 18 4 , , PUNCT cana-1918 18 5 such such ADJ cana-1918 18 6 as as ADP cana-1918 18 7 homomorphic homomorphic ADJ cana-1918 18 8 encryption encryption NOUN cana-1918 18 9 , , PUNCT cana-1918 18 10 elliptic elliptic ADJ cana-1918 18 11 curve curve NOUN cana-1918 18 12 cryptography cryptography NOUN cana-1918 18 13 ( ( PUNCT cana-1918 18 14 ecc ecc PROPN cana-1918 18 15 ) ) PUNCT cana-1918 18 16 , , PUNCT cana-1918 18 17 and and CCONJ cana-1918 18 18 lattice lattice NOUN cana-1918 18 19 - - PUNCT cana-1918 18 20 based base VERB cana-1918 18 21 cryptography cryptography NOUN cana-1918 19 1 [ [ X cana-1918 19 2 8 8 NUM cana-1918 19 3 ] ] PUNCT cana-1918 19 4 , , PUNCT cana-1918 19 5 are be AUX cana-1918 19 6 used use VERB cana-1918 19 7 in in ADP cana-1918 19 8 the the DET cana-1918 19 9 proposed propose VERB cana-1918 19 10 method method NOUN cana-1918 19 11 to to PART cana-1918 19 12 make make VERB cana-1918 19 13 sure sure ADJ cana-1918 19 14 strong strong ADJ cana-1918 19 15 security security NOUN cana-1918 19 16 against against ADP cana-1918 19 17 both both DET cana-1918 19 18 classical classical ADJ cana-1918 19 19 communications communication NOUN cana-1918 19 20 on on ADP cana-1918 19 21 applied apply VERB cana-1918 19 22 nonlinear nonlinear ADJ cana-1918 19 23 analysis analysis NOUN cana-1918 19 24 issn issn NOUN cana-1918 19 25 : : PUNCT cana-1918 19 26 1074 1074 NUM cana-1918 19 27 - - PUNCT cana-1918 19 28 133x 133x NUM cana-1918 19 29 vol vol NOUN cana-1918 19 30 32 32 NUM cana-1918 19 31 no no NOUN cana-1918 19 32 . . NOUN cana-1918 19 33 2 2 NUM cana-1918 19 34 ( ( PUNCT cana-1918 19 35 2025 2025 NUM cana-1918 19 36 ) ) PUNCT cana-1918 19 37 733 733 NUM cana-1918 19 38 https://internationalpubls.com https://internationalpubls.com X cana-1918 19 39 and and CCONJ cana-1918 19 40 quantum quantum NOUN cana-1918 19 41 threats threat NOUN cana-1918 19 42 . . PUNCT cana-1918 20 1 the the DET cana-1918 20 2 proposed propose VERB cana-1918 20 3 system system NOUN cana-1918 20 4 is be AUX cana-1918 20 5 very very ADV cana-1918 20 6 resistant resistant ADJ cana-1918 20 7 to to ADP cana-1918 20 8 attacks attack NOUN cana-1918 20 9 like like ADP cana-1918 20 10 brute brute NOUN cana-1918 20 11 - - PUNCT cana-1918 20 12 force force NOUN cana-1918 20 13 because because SCONJ cana-1918 20 14 it it PRON cana-1918 20 15 uses use VERB cana-1918 20 16 these these DET cana-1918 20 17 cutting cutting NOUN cana-1918 20 18 - - PUNCT cana-1918 20 19 edge edge NOUN cana-1918 20 20 cryptographic cryptographic ADJ cana-1918 20 21 methods method NOUN cana-1918 20 22 . . PUNCT cana-1918 21 1 the the DET cana-1918 21 2 proposed propose VERB cana-1918 21 3 mechanism mechanism NOUN cana-1918 21 4 also also ADV cana-1918 21 5 makes make VERB cana-1918 21 6 it it PRON cana-1918 21 7 easier easy ADJ cana-1918 21 8 to to PART cana-1918 21 9 embed embed VERB cana-1918 21 10 and and CCONJ cana-1918 21 11 retrieve retrieve VERB cana-1918 21 12 data datum NOUN cana-1918 21 13 by by ADP cana-1918 21 14 cutting cut VERB cana-1918 21 15 down down ADP cana-1918 21 16 on on ADP cana-1918 21 17 the the DET cana-1918 21 18 need need NOUN cana-1918 21 19 for for ADP cana-1918 21 20 complicated complicated ADJ cana-1918 21 21 key key ADJ cana-1918 21 22 management management NOUN cana-1918 21 23 and and CCONJ cana-1918 21 24 the the DET cana-1918 21 25 amount amount NOUN cana-1918 21 26 of of ADP cana-1918 21 27 computing computing NOUN cana-1918 21 28 power power NOUN cana-1918 21 29 needed need VERB cana-1918 21 30 to to PART cana-1918 21 31 hide hide VERB cana-1918 21 32 data datum NOUN cana-1918 21 33 securely securely ADV cana-1918 21 34 . . PUNCT cana-1918 22 1 this this PRON cana-1918 22 2 is be AUX cana-1918 22 3 done do VERB cana-1918 22 4 by by ADP cana-1918 22 5 limiting limit VERB cana-1918 22 6 operations operation NOUN cana-1918 22 7 to to ADP cana-1918 22 8 a a DET cana-1918 22 9 single single ADJ cana-1918 22 10 cloud cloud NOUN cana-1918 22 11 environment environment NOUN cana-1918 22 12 , , PUNCT cana-1918 22 13 making make VERB cana-1918 22 14 it it PRON cana-1918 22 15 easier easy ADJ cana-1918 22 16 to to PART cana-1918 22 17 handle handle VERB cana-1918 22 18 credentials credential NOUN cana-1918 22 19 , , PUNCT cana-1918 22 20 and and CCONJ cana-1918 22 21 making make VERB cana-1918 22 22 the the DET cana-1918 22 23 system system NOUN cana-1918 22 24 run run VERB cana-1918 22 25 more more ADV cana-1918 22 26 efficiently efficiently ADV cana-1918 22 27 . . PUNCT cana-1918 23 1 implementing implement VERB cana-1918 23 2 and and CCONJ cana-1918 23 3 testing test VERB cana-1918 23 4 this this DET cana-1918 23 5 method method NOUN cana-1918 23 6 shows show VERB cana-1918 23 7 that that SCONJ cana-1918 23 8 it it PRON cana-1918 23 9 works work VERB cana-1918 23 10 to to PART cana-1918 23 11 protect protect VERB cana-1918 23 12 data datum NOUN cana-1918 23 13 's 's PART cana-1918 23 14 security security NOUN cana-1918 23 15 , , PUNCT cana-1918 23 16 privacy privacy NOUN cana-1918 23 17 , , PUNCT cana-1918 23 18 and and CCONJ cana-1918 23 19 availability availability NOUN cana-1918 23 20 , , PUNCT cana-1918 23 21 setting set VERB cana-1918 23 22 a a DET cana-1918 23 23 new new ADJ cana-1918 23 24 standard standard NOUN cana-1918 23 25 for for ADP cana-1918 23 26 safe safe ADJ cana-1918 23 27 data datum NOUN cana-1918 23 28 hiding hide VERB cana-1918 23 29 in in ADP cana-1918 23 30 cloud cloud NOUN cana-1918 23 31 computing computing NOUN cana-1918 23 32 . . PUNCT cana-1918 24 1 in in ADP cana-1918 24 2 the the DET cana-1918 24 3 following follow VERB cana-1918 24 4 sections section NOUN cana-1918 24 5 , , PUNCT cana-1918 24 6 this this DET cana-1918 24 7 paper paper NOUN cana-1918 24 8 will will AUX cana-1918 24 9 explore explore VERB cana-1918 24 10 the the DET cana-1918 24 11 existing exist VERB cana-1918 24 12 challenges challenge NOUN cana-1918 24 13 in in ADP cana-1918 24 14 traditional traditional ADJ cana-1918 24 15 steganographic steganographic ADJ cana-1918 24 16 methods method NOUN cana-1918 24 17 , , PUNCT cana-1918 24 18 outline outline VERB cana-1918 24 19 the the DET cana-1918 24 20 design design NOUN cana-1918 24 21 and and CCONJ cana-1918 24 22 implementation implementation NOUN cana-1918 24 23 of of ADP cana-1918 24 24 the the DET cana-1918 24 25 proposed propose VERB cana-1918 24 26 mechanism mechanism NOUN cana-1918 24 27 , , PUNCT cana-1918 24 28 and and CCONJ cana-1918 24 29 present present VERB cana-1918 24 30 a a DET cana-1918 24 31 comprehensive comprehensive ADJ cana-1918 24 32 analysis analysis NOUN cana-1918 24 33 of of ADP cana-1918 24 34 its its PRON cana-1918 24 35 performance performance NOUN cana-1918 24 36 and and CCONJ cana-1918 24 37 security security NOUN cana-1918 24 38 features feature NOUN cana-1918 24 39 . . PUNCT cana-1918 25 1 the the DET cana-1918 25 2 results result NOUN cana-1918 25 3 indicate indicate VERB cana-1918 25 4 that that SCONJ cana-1918 25 5 this this DET cana-1918 25 6 novel novel ADJ cana-1918 25 7 approach approach NOUN cana-1918 25 8 mitigates mitigate VERB cana-1918 25 9 the the DET cana-1918 25 10 risks risk NOUN cana-1918 25 11 associated associate VERB cana-1918 25 12 with with ADP cana-1918 25 13 multi multi ADJ cana-1918 25 14 - - ADJ cana-1918 25 15 cloud cloud ADJ cana-1918 25 16 environments environment NOUN cana-1918 25 17 and and CCONJ cana-1918 25 18 significantly significantly ADV cana-1918 25 19 improves improve VERB cana-1918 25 20 the the DET cana-1918 25 21 efficiency efficiency NOUN cana-1918 25 22 and and CCONJ cana-1918 25 23 security security NOUN cana-1918 25 24 of of ADP cana-1918 25 25 steganographic steganographic ADJ cana-1918 25 26 operations operation NOUN cana-1918 25 27 in in ADP cana-1918 25 28 cloud cloud NOUN cana-1918 25 29 storage storage NOUN cana-1918 25 30 . . PUNCT cana-1918 26 1 2 2 X cana-1918 26 2 . . X cana-1918 26 3 existing exist VERB cana-1918 26 4 work work NOUN cana-1918 26 5 in in ADP cana-1918 26 6 cloud cloud ADJ cana-1918 26 7 security security NOUN cana-1918 26 8 , , PUNCT cana-1918 26 9 steganography steganography NOUN cana-1918 26 10 has have AUX cana-1918 26 11 been be AUX cana-1918 26 12 extensively extensively ADV cana-1918 26 13 researched research VERB cana-1918 26 14 as as ADP cana-1918 26 15 a a DET cana-1918 26 16 method method NOUN cana-1918 26 17 for for ADP cana-1918 26 18 embedding embed VERB cana-1918 26 19 sensitive sensitive ADJ cana-1918 26 20 information information NOUN cana-1918 26 21 within within ADP cana-1918 26 22 cloud cloud NOUN cana-1918 26 23 storage storage NOUN cana-1918 26 24 systems system NOUN cana-1918 26 25 . . PUNCT cana-1918 27 1 traditional traditional ADJ cana-1918 27 2 approaches approach NOUN cana-1918 27 3 often often ADV cana-1918 27 4 utilize utilize VERB cana-1918 27 5 multi multi ADJ cana-1918 27 6 - - ADJ cana-1918 27 7 cloud cloud ADJ cana-1918 27 8 environments environment NOUN cana-1918 27 9 , , PUNCT cana-1918 27 10 where where SCONJ cana-1918 27 11 data datum NOUN cana-1918 27 12 fragments fragment NOUN cana-1918 27 13 are be AUX cana-1918 27 14 distributed distribute VERB cana-1918 27 15 across across ADP cana-1918 27 16 various various ADJ cana-1918 27 17 cloud cloud NOUN cana-1918 27 18 providers provider NOUN cana-1918 27 19 to to PART cana-1918 27 20 mitigate mitigate VERB cana-1918 27 21 the the DET cana-1918 27 22 risk risk NOUN cana-1918 27 23 of of ADP cana-1918 27 24 data datum NOUN cana-1918 27 25 exposure exposure NOUN cana-1918 27 26 [ [ X cana-1918 27 27 2,6,7 2,6,7 NUM cana-1918 27 28 ] ] PUNCT cana-1918 27 29 . . PUNCT cana-1918 28 1 these these DET cana-1918 28 2 methods method NOUN cana-1918 28 3 integrate integrate VERB cana-1918 28 4 sophisticated sophisticated ADJ cana-1918 28 5 cryptographic cryptographic ADJ cana-1918 28 6 techniques technique NOUN cana-1918 28 7 to to PART cana-1918 28 8 secure secure VERB cana-1918 28 9 the the DET cana-1918 28 10 embedded embed VERB cana-1918 28 11 data datum NOUN cana-1918 28 12 , , PUNCT cana-1918 28 13 ensuring ensure VERB cana-1918 28 14 it it PRON cana-1918 28 15 remains remain VERB cana-1918 28 16 invisible invisible ADJ cana-1918 28 17 to to ADP cana-1918 28 18 unauthorized unauthorized ADJ cana-1918 28 19 entities entity NOUN cana-1918 28 20 . . PUNCT cana-1918 29 1 a. a. NOUN cana-1918 29 2 essential essential ADJ cana-1918 29 3 techniques technique NOUN cana-1918 29 4 in in ADP cana-1918 29 5 existing exist VERB cana-1918 29 6 work work NOUN cana-1918 29 7 : : PUNCT cana-1918 29 8 1 1 X cana-1918 29 9 . . X cana-1918 29 10 multi multi ADJ cana-1918 29 11 - - ADJ cana-1918 29 12 cloud cloud ADJ cana-1918 29 13 data datum NOUN cana-1918 29 14 dispersion dispersion NOUN cana-1918 29 15 : : PUNCT cana-1918 29 16 sensitive sensitive ADJ cana-1918 29 17 data datum NOUN cana-1918 29 18 is be AUX cana-1918 29 19 partitioned partition VERB cana-1918 29 20 and and CCONJ cana-1918 29 21 distributed distribute VERB cana-1918 29 22 across across ADP cana-1918 29 23 multiple multiple ADJ cana-1918 29 24 cloud cloud NOUN cana-1918 29 25 platforms platform NOUN cana-1918 29 26 . . PUNCT cana-1918 30 1 this this DET cana-1918 30 2 dispersion dispersion NOUN cana-1918 30 3 minimizes minimize VERB cana-1918 30 4 the the DET cana-1918 30 5 likelihood likelihood NOUN cana-1918 30 6 of of ADP cana-1918 30 7 total total ADJ cana-1918 30 8 data datum NOUN cana-1918 30 9 compromise compromise NOUN cana-1918 30 10 but but CCONJ cana-1918 30 11 introduces introduce VERB cana-1918 30 12 complexities complexity NOUN cana-1918 30 13 in in ADP cana-1918 30 14 data data NOUN cana-1918 30 15 management management NOUN cana-1918 30 16 and and CCONJ cana-1918 30 17 retrieval retrieval NOUN cana-1918 30 18 . . PUNCT cana-1918 31 1 2 2 X cana-1918 31 2 . . X cana-1918 31 3 asymmetric asymmetric ADJ cana-1918 31 4 and and CCONJ cana-1918 31 5 symmetric symmetric ADJ cana-1918 31 6 encryption encryption NOUN cana-1918 31 7 : : PUNCT cana-1918 31 8 techniques technique NOUN cana-1918 31 9 such such ADJ cana-1918 31 10 as as ADP cana-1918 31 11 rsa rsa PROPN cana-1918 31 12 ( ( PUNCT cana-1918 31 13 rivest rivest ADV cana-1918 31 14 - - PUNCT cana-1918 31 15 shamir shamir NOUN cana-1918 31 16 - - PUNCT cana-1918 31 17 adleman adleman NOUN cana-1918 31 18 ) ) PUNCT cana-1918 31 19 , , PUNCT cana-1918 31 20 aes-256 aes-256 PROPN cana-1918 31 21 ( ( PUNCT cana-1918 31 22 advanced advanced ADJ cana-1918 31 23 encryption encryption NOUN cana-1918 31 24 standard standard NOUN cana-1918 31 25 ) ) PUNCT cana-1918 31 26 , , PUNCT cana-1918 31 27 and and CCONJ cana-1918 31 28 elliptic elliptic ADJ cana-1918 31 29 curve curve NOUN cana-1918 31 30 cryptography cryptography NOUN cana-1918 31 31 ( ( PUNCT cana-1918 31 32 ecc ecc PROPN cana-1918 31 33 ) ) PUNCT cana-1918 31 34 are be AUX cana-1918 31 35 employed employ VERB cana-1918 31 36 to to PART cana-1918 31 37 encrypt encrypt VERB cana-1918 31 38 data datum NOUN cana-1918 31 39 before before ADP cana-1918 31 40 embedding embed VERB cana-1918 31 41 it it PRON cana-1918 31 42 within within ADP cana-1918 31 43 cloud cloud NOUN cana-1918 31 44 storage storage NOUN cana-1918 31 45 . . PUNCT cana-1918 32 1 rsa rsa PROPN cana-1918 32 2 , , PUNCT cana-1918 32 3 used use VERB cana-1918 32 4 for for ADP cana-1918 32 5 key key ADJ cana-1918 32 6 exchange exchange NOUN cana-1918 32 7 , , PUNCT cana-1918 32 8 relies rely VERB cana-1918 32 9 on on ADP cana-1918 32 10 the the DET cana-1918 32 11 mathematical mathematical ADJ cana-1918 32 12 difficulty difficulty NOUN cana-1918 32 13 of of ADP cana-1918 32 14 factoring factor VERB cana-1918 32 15 large large ADJ cana-1918 32 16 integers integer NOUN cana-1918 32 17 , , PUNCT cana-1918 32 18 while while SCONJ cana-1918 32 19 aes aes PROPN cana-1918 32 20 , , PUNCT cana-1918 32 21 a a DET cana-1918 32 22 block block NOUN cana-1918 32 23 cipher cipher ADJ cana-1918 32 24 , , PUNCT cana-1918 32 25 is be AUX cana-1918 32 26 utilized utilize VERB cana-1918 32 27 for for ADP cana-1918 32 28 its its PRON cana-1918 32 29 efficiency efficiency NOUN cana-1918 32 30 in in ADP cana-1918 32 31 symmetric symmetric ADJ cana-1918 32 32 encryption encryption NOUN cana-1918 32 33 . . PUNCT cana-1918 33 1 table table NOUN cana-1918 33 2 1 1 NUM cana-1918 33 3 : : PUNCT cana-1918 33 4 comparison comparison NOUN cana-1918 33 5 of of ADP cana-1918 33 6 encryption encryption NOUN cana-1918 33 7 techniques technique NOUN cana-1918 33 8 in in ADP cana-1918 33 9 existing exist VERB cana-1918 33 10 multi multi ADJ cana-1918 33 11 - - ADJ cana-1918 33 12 cloud cloud ADJ cana-1918 33 13 systems system NOUN cana-1918 33 14 technique technique NOUN cana-1918 33 15 advantages advantage NOUN cana-1918 33 16 disadvantages disadvantage VERB cana-1918 33 17 rsa rsa PROPN cana-1918 33 18 strong strong ADJ cana-1918 33 19 security security NOUN cana-1918 33 20 , , PUNCT cana-1918 33 21 well well ADV cana-1918 33 22 - - PUNCT cana-1918 33 23 established establish VERB cana-1918 33 24 computationally computationally ADV cana-1918 33 25 expensive expensive ADJ cana-1918 33 26 , , PUNCT cana-1918 33 27 large large ADJ cana-1918 33 28 keys key NOUN cana-1918 33 29 aes-256 aes-256 VERB cana-1918 33 30 efficient efficient ADJ cana-1918 33 31 , , PUNCT cana-1918 33 32 strong strong ADJ cana-1918 33 33 , , PUNCT cana-1918 33 34 symmetric symmetric ADJ cana-1918 33 35 encryption encryption NOUN cana-1918 33 36 requires require VERB cana-1918 33 37 secure secure VERB cana-1918 33 38 key key ADJ cana-1918 33 39 management management NOUN cana-1918 33 40 elliptic elliptic ADJ cana-1918 33 41 curve curve NOUN cana-1918 33 42 cryptography cryptography NOUN cana-1918 33 43 ( ( PUNCT cana-1918 33 44 ecc ecc PROPN cana-1918 33 45 ) ) PUNCT cana-1918 33 46 smaller small ADJ cana-1918 33 47 keys key NOUN cana-1918 33 48 , , PUNCT cana-1918 33 49 strong strong ADJ cana-1918 33 50 security security NOUN cana-1918 33 51 more more ADV cana-1918 33 52 complex complex ADJ cana-1918 33 53 implementation implementation NOUN cana-1918 33 54 multi multi ADJ cana-1918 33 55 - - ADJ cana-1918 33 56 cloud cloud ADJ cana-1918 33 57 dispersion dispersion NOUN cana-1918 33 58 reduces reduce VERB cana-1918 33 59 risk risk NOUN cana-1918 33 60 of of ADP cana-1918 33 61 total total ADJ cana-1918 33 62 data datum NOUN cana-1918 33 63 exposure exposure NOUN cana-1918 33 64 complex complex ADJ cana-1918 33 65 management management NOUN cana-1918 33 66 and and CCONJ cana-1918 33 67 retrieval retrieval NOUN cana-1918 33 68 3 3 NUM cana-1918 33 69 . . PUNCT cana-1918 33 70 steganographic steganographic ADJ cana-1918 33 71 embedding embedding NOUN cana-1918 33 72 : : PUNCT cana-1918 33 73 steganographic steganographic ADJ cana-1918 33 74 techniques technique NOUN cana-1918 33 75 ensure ensure VERB cana-1918 33 76 that that SCONJ cana-1918 33 77 data datum NOUN cana-1918 33 78 embedding embed VERB cana-1918 33 79 alters alter VERB cana-1918 33 80 the the DET cana-1918 33 81 carrier carrier NOUN cana-1918 33 82 's 's PART cana-1918 33 83 statistical statistical ADJ cana-1918 33 84 properties property NOUN cana-1918 33 85 as as ADV cana-1918 33 86 little little ADJ cana-1918 33 87 as as ADP cana-1918 33 88 possible possible ADJ cana-1918 33 89 , , PUNCT cana-1918 33 90 making make VERB cana-1918 33 91 detection detection NOUN cana-1918 33 92 via via ADP cana-1918 33 93 steganalysis steganalysis NOUN cana-1918 33 94 infeasible infeasible ADJ cana-1918 33 95 . . PUNCT cana-1918 34 1 techniques technique NOUN cana-1918 34 2 like like ADP cana-1918 34 3 least least ADV cana-1918 34 4 significant significant ADJ cana-1918 34 5 bit bit NOUN cana-1918 34 6 ( ( PUNCT cana-1918 34 7 lsb lsb PROPN cana-1918 34 8 ) ) PUNCT cana-1918 34 9 embedding embed VERB cana-1918 34 10 are be AUX cana-1918 34 11 commonly commonly ADV cana-1918 34 12 used use VERB cana-1918 34 13 . . PUNCT cana-1918 35 1 4 4 X cana-1918 35 2 . . X cana-1918 35 3 complex complex ADJ cana-1918 35 4 key key ADJ cana-1918 35 5 management management NOUN cana-1918 35 6 systems system NOUN cana-1918 35 7 ( ( PUNCT cana-1918 35 8 kms kms ADJ cana-1918 35 9 ): ): PUNCT cana-1918 35 10 multi multi ADJ cana-1918 35 11 - - ADJ cana-1918 35 12 cloud cloud ADJ cana-1918 35 13 systems system NOUN cana-1918 35 14 often often ADV cana-1918 35 15 require require VERB cana-1918 35 16 intricate intricate ADJ cana-1918 35 17 kms kms PROPN cana-1918 35 18 to to PART cana-1918 35 19 manage manage VERB cana-1918 35 20 encryption encryption NOUN cana-1918 35 21 keys key NOUN cana-1918 35 22 , , PUNCT cana-1918 35 23 with with ADP cana-1918 35 24 mechanisms mechanism NOUN cana-1918 35 25 for for ADP cana-1918 35 26 secure secure ADJ cana-1918 35 27 key key ADJ cana-1918 35 28 storage storage NOUN cana-1918 35 29 , , PUNCT cana-1918 35 30 retrieval retrieval NOUN cana-1918 35 31 , , PUNCT cana-1918 35 32 and and CCONJ cana-1918 35 33 rotation rotation NOUN cana-1918 35 34 across across ADP cana-1918 35 35 disparate disparate ADJ cana-1918 35 36 cloud cloud NOUN cana-1918 35 37 environments environment NOUN cana-1918 35 38 . . PUNCT cana-1918 36 1 communications communication NOUN cana-1918 36 2 on on ADP cana-1918 36 3 applied apply VERB cana-1918 36 4 nonlinear nonlinear ADJ cana-1918 36 5 analysis analysis NOUN cana-1918 36 6 issn issn NOUN cana-1918 36 7 : : PUNCT cana-1918 36 8 1074 1074 NUM cana-1918 36 9 - - PUNCT cana-1918 36 10 133x 133x NUM cana-1918 36 11 vol vol NOUN cana-1918 36 12 32 32 NUM cana-1918 36 13 no no NOUN cana-1918 36 14 . . NOUN cana-1918 36 15 2 2 NUM cana-1918 36 16 ( ( PUNCT cana-1918 36 17 2025 2025 NUM cana-1918 36 18 ) ) PUNCT cana-1918 36 19 734 734 NUM cana-1918 36 20 https://internationalpubls.com https://internationalpubls.com X cana-1918 36 21 b. b. NOUN cana-1918 36 22 problems problem NOUN cana-1918 36 23 in in ADP cana-1918 36 24 existing exist VERB cana-1918 36 25 work work NOUN cana-1918 36 26 despite despite SCONJ cana-1918 36 27 the the DET cana-1918 36 28 sophistication sophistication NOUN cana-1918 36 29 of of ADP cana-1918 36 30 existing exist VERB cana-1918 36 31 approaches approach NOUN cana-1918 36 32 , , PUNCT cana-1918 36 33 several several ADJ cana-1918 36 34 critical critical ADJ cana-1918 36 35 challenges challenge NOUN cana-1918 36 36 persist persist VERB cana-1918 36 37 : : PUNCT cana-1918 36 38 1 1 X cana-1918 36 39 . . X cana-1918 36 40 high high ADJ cana-1918 36 41 complexity complexity NOUN cana-1918 36 42 in in ADP cana-1918 36 43 credential credential ADJ cana-1918 36 44 and and CCONJ cana-1918 36 45 key key ADJ cana-1918 36 46 management management NOUN cana-1918 36 47 : : PUNCT cana-1918 36 48 managing manage VERB cana-1918 36 49 multiple multiple ADJ cana-1918 36 50 sets set NOUN cana-1918 36 51 of of ADP cana-1918 36 52 credentials credential NOUN cana-1918 36 53 and and CCONJ cana-1918 36 54 keys key NOUN cana-1918 36 55 across across ADP cana-1918 36 56 various various ADJ cana-1918 36 57 cloud cloud NOUN cana-1918 36 58 providers provider NOUN cana-1918 36 59 introduces introduce VERB cana-1918 36 60 a a DET cana-1918 36 61 high high ADJ cana-1918 36 62 potential potential NOUN cana-1918 36 63 for for ADP cana-1918 36 64 security security NOUN cana-1918 36 65 lapses lapse NOUN cana-1918 36 66 and and CCONJ cana-1918 36 67 operational operational ADJ cana-1918 36 68 inefficiencies inefficiency NOUN cana-1918 36 69 . . PUNCT cana-1918 37 1 2 2 X cana-1918 37 2 . . X cana-1918 37 3 large large ADJ cana-1918 37 4 and and CCONJ cana-1918 37 5 complex complex ADJ cana-1918 37 6 stego stego NOUN cana-1918 37 7 - - PUNCT cana-1918 37 8 key key NOUN cana-1918 37 9 management management NOUN cana-1918 37 10 : : PUNCT cana-1918 37 11 data datum NOUN cana-1918 37 12 fragmentation fragmentation NOUN cana-1918 37 13 across across ADP cana-1918 37 14 multiple multiple ADJ cana-1918 37 15 platforms platform NOUN cana-1918 37 16 necessitates necessitate VERB cana-1918 37 17 managing manage VERB cana-1918 37 18 extensive extensive ADJ cana-1918 37 19 stego stego NOUN cana-1918 37 20 - - PUNCT cana-1918 37 21 keys key NOUN cana-1918 37 22 , , PUNCT cana-1918 37 23 increasing increase VERB cana-1918 37 24 the the DET cana-1918 37 25 risk risk NOUN cana-1918 37 26 of of ADP cana-1918 37 27 key key ADJ cana-1918 37 28 compromise compromise NOUN cana-1918 37 29 and and CCONJ cana-1918 37 30 operational operational ADJ cana-1918 37 31 overhead overhead NOUN cana-1918 37 32 . . PUNCT cana-1918 38 1 3 3 X cana-1918 38 2 . . X cana-1918 38 3 significant significant ADJ cana-1918 38 4 computational computational ADJ cana-1918 38 5 overhead overhead NOUN cana-1918 38 6 : : PUNCT cana-1918 38 7 the the DET cana-1918 38 8 distribution distribution NOUN cana-1918 38 9 , , PUNCT cana-1918 38 10 encryption encryption NOUN cana-1918 38 11 , , PUNCT cana-1918 38 12 and and CCONJ cana-1918 38 13 secure secure VERB cana-1918 38 14 data datum NOUN cana-1918 38 15 storage storage NOUN cana-1918 38 16 across across ADP cana-1918 38 17 multiple multiple ADJ cana-1918 38 18 platforms platform NOUN cana-1918 38 19 require require VERB cana-1918 38 20 substantial substantial ADJ cana-1918 38 21 computational computational ADJ cana-1918 38 22 resources resource NOUN cana-1918 38 23 , , PUNCT cana-1918 38 24 leading lead VERB cana-1918 38 25 to to ADP cana-1918 38 26 inefficiencies inefficiency NOUN cana-1918 38 27 . . PUNCT cana-1918 39 1 4 4 X cana-1918 39 2 . . X cana-1918 39 3 detection detection NOUN cana-1918 39 4 vulnerabilities vulnerability NOUN cana-1918 39 5 : : PUNCT cana-1918 39 6 while while SCONJ cana-1918 39 7 designed design VERB cana-1918 39 8 to to PART cana-1918 39 9 resist resist VERB cana-1918 39 10 steganalysis steganalysis NOUN cana-1918 39 11 , , PUNCT cana-1918 39 12 the the DET cana-1918 39 13 complexity complexity NOUN cana-1918 39 14 of of ADP cana-1918 39 15 multi multi ADJ cana-1918 39 16 - - ADJ cana-1918 39 17 cloud cloud ADJ cana-1918 39 18 systems system NOUN cana-1918 39 19 may may AUX cana-1918 39 20 inadvertently inadvertently ADV cana-1918 39 21 introduce introduce VERB cana-1918 39 22 detectable detectable ADJ cana-1918 39 23 patterns pattern NOUN cana-1918 39 24 , , PUNCT cana-1918 39 25 compromising compromise VERB cana-1918 39 26 security security NOUN cana-1918 39 27 . . PUNCT cana-1918 40 1 5 5 X cana-1918 40 2 . . X cana-1918 40 3 interoperability interoperability NOUN cana-1918 40 4 issues issue NOUN cana-1918 40 5 : : PUNCT cana-1918 40 6 dependence dependence NOUN cana-1918 40 7 on on ADP cana-1918 40 8 multiple multiple ADJ cana-1918 40 9 cloud cloud NOUN cana-1918 40 10 providers provider NOUN cana-1918 40 11 can can AUX cana-1918 40 12 lead lead VERB cana-1918 40 13 to to ADP cana-1918 40 14 inconsistent inconsistent ADJ cana-1918 40 15 security security NOUN cana-1918 40 16 policies policy NOUN cana-1918 40 17 and and CCONJ cana-1918 40 18 potential potential ADJ cana-1918 40 19 vulnerabilities vulnerability NOUN cana-1918 40 20 due due ADJ cana-1918 40 21 to to ADP cana-1918 40 22 varying vary VERB cana-1918 40 23 levels level NOUN cana-1918 40 24 of of ADP cana-1918 40 25 provider provider NOUN cana-1918 40 26 security security NOUN cana-1918 40 27 . . PUNCT cana-1918 41 1 c. c. PROPN cana-1918 41 2 aim aim VERB cana-1918 41 3 this this DET cana-1918 41 4 research research NOUN cana-1918 41 5 proposes propose VERB cana-1918 41 6 a a DET cana-1918 41 7 highly highly ADV cana-1918 41 8 secure secure ADJ cana-1918 41 9 and and CCONJ cana-1918 41 10 computationally computationally ADV cana-1918 41 11 efficient efficient ADJ cana-1918 41 12 steganographic steganographic ADJ cana-1918 41 13 method method NOUN cana-1918 41 14 within within ADP cana-1918 41 15 a a DET cana-1918 41 16 single single ADJ cana-1918 41 17 cloud cloud NOUN cana-1918 41 18 environment environment NOUN cana-1918 42 1 [ [ X cana-1918 42 2 5 5 NUM cana-1918 42 3 ] ] PUNCT cana-1918 42 4 . . PUNCT cana-1918 43 1 the the DET cana-1918 43 2 proposed propose VERB cana-1918 43 3 method method NOUN cana-1918 43 4 seeks seek VERB cana-1918 43 5 to to PART cana-1918 43 6 eliminate eliminate VERB cana-1918 43 7 the the DET cana-1918 43 8 complexities complexity NOUN cana-1918 43 9 and and CCONJ cana-1918 43 10 inefficiencies inefficiency NOUN cana-1918 43 11 inherent inherent ADJ cana-1918 43 12 in in ADP cana-1918 43 13 multi multi ADJ cana-1918 43 14 - - ADJ cana-1918 43 15 cloud cloud ADJ cana-1918 43 16 systems system NOUN cana-1918 43 17 while while SCONJ cana-1918 43 18 providing provide VERB cana-1918 43 19 robust robust ADJ cana-1918 43 20 security security NOUN cana-1918 43 21 guarantees guarantee NOUN cana-1918 43 22 for for ADP cana-1918 43 23 the the DET cana-1918 43 24 embedded embed VERB cana-1918 43 25 data datum NOUN cana-1918 43 26 . . PUNCT cana-1918 44 1 d. d. PROPN cana-1918 44 2 objectives objective VERB cana-1918 44 3 1 1 NUM cana-1918 44 4 . . PUNCT cana-1918 44 5 simplification simplification NOUN cana-1918 44 6 of of ADP cana-1918 44 7 operations operation NOUN cana-1918 44 8 : : PUNCT cana-1918 44 9 streamline streamline VERB cana-1918 44 10 the the DET cana-1918 44 11 data datum NOUN cana-1918 44 12 embedding embed VERB cana-1918 44 13 and and CCONJ cana-1918 44 14 retrieval retrieval NOUN cana-1918 44 15 process process NOUN cana-1918 44 16 by by ADP cana-1918 44 17 confining confine VERB cana-1918 44 18 it it PRON cana-1918 44 19 to to ADP cana-1918 44 20 a a DET cana-1918 44 21 single single ADJ cana-1918 44 22 cloud cloud NOUN cana-1918 44 23 environment environment NOUN cana-1918 44 24 , , PUNCT cana-1918 44 25 thereby thereby ADV cana-1918 44 26 reducing reduce VERB cana-1918 44 27 operational operational ADJ cana-1918 44 28 complexity complexity NOUN cana-1918 44 29 and and CCONJ cana-1918 44 30 enhancing enhance VERB cana-1918 44 31 performance performance NOUN cana-1918 44 32 . . PUNCT cana-1918 45 1 2 2 X cana-1918 45 2 . . NUM cana-1918 45 3 enhanced enhance VERB cana-1918 45 4 security security NOUN cana-1918 45 5 framework framework NOUN cana-1918 45 6 : : PUNCT cana-1918 45 7 implement implement VERB cana-1918 45 8 advanced advanced ADJ cana-1918 45 9 cryptographic cryptographic ADJ cana-1918 45 10 techniques technique NOUN cana-1918 45 11 that that PRON cana-1918 45 12 provide provide VERB cana-1918 45 13 robust robust ADJ cana-1918 45 14 security security NOUN cana-1918 45 15 against against ADP cana-1918 45 16 cryptographic cryptographic ADJ cana-1918 45 17 attacks attack NOUN cana-1918 45 18 , , PUNCT cana-1918 45 19 including include VERB cana-1918 45 20 quantum quantum NOUN cana-1918 45 21 - - PUNCT cana-1918 45 22 resistant resistant ADJ cana-1918 45 23 algorithms algorithm NOUN cana-1918 45 24 . . PUNCT cana-1918 46 1 3 3 X cana-1918 46 2 . . X cana-1918 46 3 efficiency efficiency NOUN cana-1918 46 4 and and CCONJ cana-1918 46 5 performance performance NOUN cana-1918 46 6 : : PUNCT cana-1918 46 7 optimize optimize VERB cana-1918 46 8 the the DET cana-1918 46 9 method method NOUN cana-1918 46 10 to to PART cana-1918 46 11 minimize minimize VERB cana-1918 46 12 computational computational ADJ cana-1918 46 13 overhead overhead NOUN cana-1918 46 14 and and CCONJ cana-1918 46 15 maximize maximize VERB cana-1918 46 16 efficiency efficiency NOUN cana-1918 46 17 , , PUNCT cana-1918 46 18 even even ADV cana-1918 46 19 for for ADP cana-1918 46 20 large large ADJ cana-1918 46 21 - - PUNCT cana-1918 46 22 scale scale NOUN cana-1918 46 23 data datum NOUN cana-1918 46 24 embedding embed VERB cana-1918 46 25 operations operation NOUN cana-1918 46 26 . . PUNCT cana-1918 47 1 4 4 X cana-1918 47 2 . . X cana-1918 47 3 advanced advanced ADJ cana-1918 47 4 key key ADJ cana-1918 47 5 management management NOUN cana-1918 47 6 : : PUNCT cana-1918 47 7 develop develop VERB cana-1918 47 8 a a DET cana-1918 47 9 secure secure ADJ cana-1918 47 10 , , PUNCT cana-1918 47 11 scalable scalable ADJ cana-1918 47 12 key key ADJ cana-1918 47 13 management management NOUN cana-1918 47 14 system system NOUN cana-1918 47 15 that that PRON cana-1918 47 16 supports support VERB cana-1918 47 17 quantum quantum NOUN cana-1918 47 18 - - PUNCT cana-1918 47 19 resistant resistant ADJ cana-1918 47 20 key key ADJ cana-1918 47 21 generation generation NOUN cana-1918 47 22 , , PUNCT cana-1918 47 23 distribution distribution NOUN cana-1918 47 24 , , PUNCT cana-1918 47 25 and and CCONJ cana-1918 47 26 rotation rotation NOUN cana-1918 47 27 within within ADP cana-1918 47 28 a a DET cana-1918 47 29 single single ADJ cana-1918 47 30 cloud cloud NOUN cana-1918 47 31 environment environment NOUN cana-1918 47 32 . . PUNCT cana-1918 48 1 e. e. PROPN cana-1918 48 2 problem problem PROPN cana-1918 48 3 definition definition NOUN cana-1918 48 4 traditional traditional ADJ cana-1918 48 5 steganographic steganographic ADJ cana-1918 48 6 methods method NOUN cana-1918 48 7 that that PRON cana-1918 48 8 rely rely VERB cana-1918 48 9 on on ADP cana-1918 48 10 multi multi ADJ cana-1918 48 11 - - ADJ cana-1918 48 12 cloud cloud ADJ cana-1918 48 13 environments environment NOUN cana-1918 48 14 introduce introduce VERB cana-1918 48 15 significant significant ADJ cana-1918 48 16 complexity complexity NOUN cana-1918 48 17 and and CCONJ cana-1918 48 18 inefficiency inefficiency NOUN cana-1918 48 19 . . PUNCT cana-1918 49 1 the the DET cana-1918 49 2 substantial substantial ADJ cana-1918 49 3 drawbacks drawback NOUN cana-1918 49 4 are be AUX cana-1918 49 5 the the DET cana-1918 49 6 requirement requirement NOUN cana-1918 49 7 to to PART cana-1918 49 8 manage manage VERB cana-1918 49 9 multiple multiple ADJ cana-1918 49 10 credentials credential NOUN cana-1918 49 11 , , PUNCT cana-1918 49 12 handle handle VERB cana-1918 49 13 large large ADJ cana-1918 49 14 and and CCONJ cana-1918 49 15 complex complex ADJ cana-1918 49 16 stego stego NOUN cana-1918 49 17 - - PUNCT cana-1918 49 18 keys key NOUN cana-1918 49 19 , , PUNCT cana-1918 49 20 and and CCONJ cana-1918 49 21 navigate navigate VERB cana-1918 49 22 inconsistent inconsistent ADJ cana-1918 49 23 security security NOUN cana-1918 49 24 policies policy NOUN cana-1918 49 25 across across ADP cana-1918 49 26 different different ADJ cana-1918 49 27 cloud cloud NOUN cana-1918 49 28 providers provider NOUN cana-1918 49 29 . . PUNCT cana-1918 50 1 therefore therefore ADV cana-1918 50 2 , , PUNCT cana-1918 50 3 a a DET cana-1918 50 4 simplified simplified ADJ cana-1918 50 5 yet yet ADV cana-1918 50 6 secure secure ADJ cana-1918 50 7 steganographic steganographic ADJ cana-1918 50 8 method method NOUN cana-1918 50 9 operating operate VERB cana-1918 50 10 within within ADP cana-1918 50 11 a a DET cana-1918 50 12 single single ADJ cana-1918 50 13 cloud cloud NOUN cana-1918 50 14 environment environment NOUN cana-1918 50 15 is be AUX cana-1918 50 16 essential essential ADJ cana-1918 50 17 to to PART cana-1918 50 18 ensure ensure VERB cana-1918 50 19 data datum NOUN cana-1918 50 20 integrity integrity NOUN cana-1918 50 21 , , PUNCT cana-1918 50 22 confidentiality confidentiality NOUN cana-1918 50 23 , , PUNCT cana-1918 50 24 and and CCONJ cana-1918 50 25 robust robust ADJ cana-1918 50 26 security security NOUN cana-1918 50 27 against against ADP cana-1918 50 28 unauthorized unauthorized ADJ cana-1918 50 29 access access NOUN cana-1918 50 30 . . PUNCT cana-1918 51 1 3 3 X cana-1918 51 2 . . NUM cana-1918 51 3 proposed propose VERB cana-1918 51 4 mechanism mechanism NOUN cana-1918 51 5 we we PRON cana-1918 51 6 propose propose VERB cana-1918 51 7 a a DET cana-1918 51 8 novel novel ADJ cana-1918 51 9 cryptographic cryptographic ADJ cana-1918 51 10 steganography steganography NOUN cana-1918 51 11 mechanism mechanism NOUN cana-1918 51 12 that that PRON cana-1918 51 13 operates operate VERB cana-1918 51 14 entirely entirely ADV cana-1918 51 15 within within ADP cana-1918 51 16 a a DET cana-1918 51 17 single single ADJ cana-1918 51 18 cloud cloud NOUN cana-1918 51 19 environment environment NOUN cana-1918 51 20 to to PART cana-1918 51 21 address address VERB cana-1918 51 22 these these DET cana-1918 51 23 challenges challenge NOUN cana-1918 51 24 . . PUNCT cana-1918 52 1 this this DET cana-1918 52 2 mechanism mechanism NOUN cana-1918 52 3 leverages leverage VERB cana-1918 52 4 advanced advanced ADJ cana-1918 52 5 mathematical mathematical ADJ cana-1918 52 6 constructs construct NOUN cana-1918 52 7 , , PUNCT cana-1918 52 8 including include VERB cana-1918 52 9 elliptic elliptic ADJ cana-1918 52 10 curve curve NOUN cana-1918 52 11 cryptography cryptography NOUN cana-1918 52 12 ( ( PUNCT cana-1918 52 13 ecc ecc PROPN cana-1918 52 14 ) ) PUNCT cana-1918 52 15 , , PUNCT cana-1918 52 16 quantum quantum NOUN cana-1918 52 17 - - PUNCT cana-1918 52 18 resistant resistant ADJ cana-1918 52 19 lattice lattice NOUN cana-1918 52 20 - - PUNCT cana-1918 52 21 based base VERB cana-1918 52 22 cryptography cryptography NOUN cana-1918 52 23 , , PUNCT cana-1918 52 24 homomorphic homomorphic ADJ cana-1918 52 25 encryption encryption NOUN cana-1918 52 26 , , PUNCT cana-1918 52 27 modular modular ADJ cana-1918 52 28 arithmetic arithmetic ADJ cana-1918 52 29 , , PUNCT cana-1918 52 30 non non ADJ cana-1918 52 31 - - ADJ cana-1918 52 32 linear linear ADJ cana-1918 52 33 cryptographic cryptographic ADJ cana-1918 52 34 permutations permutation NOUN cana-1918 52 35 , , PUNCT cana-1918 52 36 and and CCONJ cana-1918 52 37 substitutions substitution NOUN cana-1918 52 38 , , PUNCT cana-1918 52 39 as as ADV cana-1918 52 40 well well ADV cana-1918 52 41 as as ADP cana-1918 52 42 hash hash NOUN cana-1918 52 43 - - PUNCT cana-1918 52 44 based base VERB cana-1918 52 45 file file NOUN cana-1918 52 46 mapping mapping NOUN cana-1918 52 47 , , PUNCT cana-1918 52 48 to to PART cana-1918 52 49 embed embed VERB cana-1918 52 50 sensitive sensitive ADJ cana-1918 52 51 information information NOUN cana-1918 52 52 into into ADP cana-1918 52 53 cloud cloud ADJ cana-1918 52 54 storage storage NOUN cana-1918 52 55 files file NOUN cana-1918 52 56 securely securely ADV cana-1918 52 57 . . PUNCT cana-1918 53 1 the the DET cana-1918 53 2 proposed propose VERB cana-1918 53 3 solution solution NOUN cana-1918 53 4 aims aim VERB cana-1918 53 5 to to PART cana-1918 53 6 simplify simplify VERB cana-1918 53 7 operations operation NOUN cana-1918 53 8 , , PUNCT cana-1918 53 9 reduce reduce VERB cana-1918 53 10 computational computational ADJ cana-1918 53 11 overhead overhead NOUN cana-1918 53 12 , , PUNCT cana-1918 53 13 and and CCONJ cana-1918 53 14 provide provide VERB cana-1918 53 15 high high ADJ cana-1918 53 16 security security NOUN cana-1918 53 17 against against ADP cana-1918 53 18 classical classical ADJ cana-1918 53 19 and and CCONJ cana-1918 53 20 quantum quantum NOUN cana-1918 53 21 attacks attack NOUN cana-1918 53 22 . . PUNCT cana-1918 54 1 communications communication NOUN cana-1918 54 2 on on ADP cana-1918 54 3 applied apply VERB cana-1918 54 4 nonlinear nonlinear ADJ cana-1918 54 5 analysis analysis NOUN cana-1918 54 6 issn issn NOUN cana-1918 54 7 : : PUNCT cana-1918 54 8 1074 1074 NUM cana-1918 54 9 - - PUNCT cana-1918 54 10 133x 133x NUM cana-1918 54 11 vol vol NOUN cana-1918 54 12 32 32 NUM cana-1918 54 13 no no NOUN cana-1918 54 14 . . NOUN cana-1918 54 15 2 2 NUM cana-1918 54 16 ( ( PUNCT cana-1918 54 17 2025 2025 NUM cana-1918 54 18 ) ) PUNCT cana-1918 54 19 735 735 NUM cana-1918 54 20 https://internationalpubls.com https://internationalpubls.com X cana-1918 54 21 a. a. NOUN cana-1918 54 22 considerations consideration NOUN cana-1918 54 23 , , PUNCT cana-1918 54 24 assumptions assumption NOUN cana-1918 54 25 , , PUNCT cana-1918 54 26 pre pre ADJ cana-1918 54 27 - - ADJ cana-1918 54 28 sharing sharing ADJ cana-1918 54 29 , , PUNCT cana-1918 54 30 agreements agreement NOUN cana-1918 54 31 considerations consideration NOUN cana-1918 54 32 1 1 X cana-1918 54 33 . . PUNCT cana-1918 54 34 data datum NOUN cana-1918 54 35 size size NOUN cana-1918 54 36 and and CCONJ cana-1918 54 37 computational computational ADJ cana-1918 54 38 complexity complexity NOUN cana-1918 54 39 : : PUNCT cana-1918 54 40 the the DET cana-1918 54 41 method method NOUN cana-1918 54 42 assumes assume VERB cana-1918 54 43 that that SCONJ cana-1918 54 44 the the DET cana-1918 54 45 cloud cloud NOUN cana-1918 54 46 environment environment NOUN cana-1918 54 47 can can AUX cana-1918 54 48 efficiently efficiently ADV cana-1918 54 49 handle handle VERB cana-1918 54 50 the the DET cana-1918 54 51 data datum NOUN cana-1918 54 52 size size NOUN cana-1918 54 53 and and CCONJ cana-1918 54 54 computational computational ADJ cana-1918 54 55 requirements requirement NOUN cana-1918 54 56 . . PUNCT cana-1918 55 1 the the DET cana-1918 55 2 system system NOUN cana-1918 55 3 must must AUX cana-1918 55 4 be be AUX cana-1918 55 5 scalable scalable ADJ cana-1918 55 6 and and CCONJ cana-1918 55 7 capable capable ADJ cana-1918 55 8 of of ADP cana-1918 55 9 embedding embed VERB cana-1918 55 10 and and CCONJ cana-1918 55 11 retrieving retrieve VERB cana-1918 55 12 large large ADJ cana-1918 55 13 volumes volume NOUN cana-1918 55 14 of of ADP cana-1918 55 15 data datum NOUN cana-1918 55 16 without without ADP cana-1918 55 17 significant significant ADJ cana-1918 55 18 performance performance NOUN cana-1918 55 19 degradation degradation NOUN cana-1918 55 20 . . PUNCT cana-1918 56 1 2 2 X cana-1918 56 2 . . X cana-1918 56 3 cloud cloud NOUN cana-1918 56 4 infrastructure infrastructure NOUN cana-1918 56 5 support support NOUN cana-1918 56 6 : : PUNCT cana-1918 56 7 the the DET cana-1918 56 8 cloud cloud NOUN cana-1918 56 9 environment environment NOUN cana-1918 56 10 must must AUX cana-1918 56 11 support support VERB cana-1918 56 12 complex complex ADJ cana-1918 56 13 file file NOUN cana-1918 56 14 operations operation NOUN cana-1918 56 15 , , PUNCT cana-1918 56 16 including include VERB cana-1918 56 17 elliptic elliptic ADJ cana-1918 56 18 curve curve NOUN cana-1918 56 19 cryptographic cryptographic ADJ cana-1918 56 20 operations operation NOUN cana-1918 56 21 , , PUNCT cana-1918 56 22 homomorphic homomorphic ADJ cana-1918 56 23 encryption encryption NOUN cana-1918 56 24 , , PUNCT cana-1918 56 25 modular modular ADJ cana-1918 56 26 arithmetic arithmetic ADJ cana-1918 56 27 , , PUNCT cana-1918 56 28 file file NOUN cana-1918 56 29 creation creation NOUN cana-1918 56 30 , , PUNCT cana-1918 56 31 deletion deletion NOUN cana-1918 56 32 , , PUNCT cana-1918 56 33 and and CCONJ cana-1918 56 34 fine fine ADV cana-1918 56 35 - - PUNCT cana-1918 56 36 grained grain VERB cana-1918 56 37 access access NOUN cana-1918 56 38 control control NOUN cana-1918 56 39 . . PUNCT cana-1918 57 1 3 3 X cana-1918 57 2 . . X cana-1918 57 3 adherence adherence NOUN cana-1918 57 4 to to ADP cana-1918 57 5 advanced advanced ADJ cana-1918 57 6 security security NOUN cana-1918 57 7 policies policy NOUN cana-1918 57 8 : : PUNCT cana-1918 57 9 the the DET cana-1918 57 10 cloud cloud NOUN cana-1918 57 11 environment environment NOUN cana-1918 57 12 must must AUX cana-1918 57 13 adhere adhere VERB cana-1918 57 14 to to ADP cana-1918 57 15 stringent stringent ADJ cana-1918 57 16 security security NOUN cana-1918 57 17 policies policy NOUN cana-1918 57 18 , , PUNCT cana-1918 57 19 including include VERB cana-1918 57 20 quantum quantum NOUN cana-1918 57 21 - - PUNCT cana-1918 57 22 resistant resistant ADJ cana-1918 57 23 encryption encryption NOUN cana-1918 57 24 standards standard NOUN cana-1918 57 25 , , PUNCT cana-1918 57 26 elliptic elliptic ADJ cana-1918 57 27 curve curve NOUN cana-1918 57 28 key key ADJ cana-1918 57 29 management management NOUN cana-1918 57 30 , , PUNCT cana-1918 57 31 and and CCONJ cana-1918 57 32 comprehensive comprehensive ADJ cana-1918 57 33 audit audit NOUN cana-1918 57 34 trails trail NOUN cana-1918 57 35 to to PART cana-1918 57 36 track track VERB cana-1918 57 37 all all DET cana-1918 57 38 data datum NOUN cana-1918 57 39 operations operation NOUN cana-1918 57 40 . . PUNCT cana-1918 58 1 assumptions assumption NOUN cana-1918 58 2 1 1 NUM cana-1918 58 3 . . X cana-1918 58 4 trust trust NOUN cana-1918 58 5 in in ADP cana-1918 58 6 the the DET cana-1918 58 7 cloud cloud NOUN cana-1918 58 8 service service NOUN cana-1918 58 9 provider provider NOUN cana-1918 58 10 ( ( PUNCT cana-1918 58 11 csp csp PROPN cana-1918 58 12 ): ): PUNCT cana-1918 58 13 the the DET cana-1918 58 14 mechanism mechanism NOUN cana-1918 58 15 assumes assume VERB cana-1918 58 16 that that SCONJ cana-1918 58 17 the the DET cana-1918 58 18 csp csp PROPN cana-1918 58 19 is be AUX cana-1918 58 20 entirely entirely ADV cana-1918 58 21 trustworthy trustworthy ADJ cana-1918 58 22 , , PUNCT cana-1918 58 23 with with ADP cana-1918 58 24 infrastructure infrastructure NOUN cana-1918 58 25 secure secure ADJ cana-1918 58 26 against against ADP cana-1918 58 27 insider insider NOUN cana-1918 58 28 threats threat NOUN cana-1918 58 29 , , PUNCT cana-1918 58 30 quantum quantum NOUN cana-1918 58 31 attacks attack NOUN cana-1918 58 32 , , PUNCT cana-1918 58 33 and and CCONJ cana-1918 58 34 external external ADJ cana-1918 58 35 breaches breach NOUN cana-1918 58 36 . . PUNCT cana-1918 59 1 2 2 X cana-1918 59 2 . . X cana-1918 59 3 no no DET cana-1918 59 4 data datum NOUN cana-1918 59 5 loss loss NOUN cana-1918 59 6 or or CCONJ cana-1918 59 7 corruption corruption NOUN cana-1918 59 8 : : PUNCT cana-1918 59 9 it it PRON cana-1918 59 10 is be AUX cana-1918 59 11 assumed assume VERB cana-1918 59 12 that that SCONJ cana-1918 59 13 the the DET cana-1918 59 14 data datum NOUN cana-1918 59 15 stored store VERB cana-1918 59 16 in in ADP cana-1918 59 17 the the DET cana-1918 59 18 cloud cloud NOUN cana-1918 59 19 is be AUX cana-1918 59 20 secure secure ADJ cana-1918 59 21 against against ADP cana-1918 59 22 loss loss NOUN cana-1918 59 23 or or CCONJ cana-1918 59 24 corruption corruption NOUN cana-1918 59 25 , , PUNCT cana-1918 59 26 ensuring ensure VERB cana-1918 59 27 that that SCONJ cana-1918 59 28 embedded embed VERB cana-1918 59 29 data datum NOUN cana-1918 59 30 remains remain VERB cana-1918 59 31 intact intact ADJ cana-1918 59 32 until until ADP cana-1918 59 33 retrieval retrieval NOUN cana-1918 59 34 . . PUNCT cana-1918 60 1 3 3 X cana-1918 60 2 . . X cana-1918 60 3 integrity integrity NOUN cana-1918 60 4 of of ADP cana-1918 60 5 file file NOUN cana-1918 60 6 storage storage NOUN cana-1918 60 7 : : PUNCT cana-1918 60 8 the the DET cana-1918 60 9 method method NOUN cana-1918 60 10 assumes assume VERB cana-1918 60 11 that that SCONJ cana-1918 60 12 files file NOUN cana-1918 60 13 in in ADP cana-1918 60 14 the the DET cana-1918 60 15 cloud cloud NOUN cana-1918 60 16 storage storage NOUN cana-1918 60 17 retain retain VERB cana-1918 60 18 their their PRON cana-1918 60 19 integrity integrity NOUN cana-1918 60 20 , , PUNCT cana-1918 60 21 meaning mean VERB cana-1918 60 22 they they PRON cana-1918 60 23 are be AUX cana-1918 60 24 not not PART cana-1918 60 25 tampered tamper VERB cana-1918 60 26 with with ADP cana-1918 60 27 or or CCONJ cana-1918 60 28 altered alter VERB cana-1918 60 29 by by ADP cana-1918 60 30 unauthorized unauthorized ADJ cana-1918 60 31 entities entity NOUN cana-1918 60 32 . . PUNCT cana-1918 61 1 pre pre ADJ cana-1918 61 2 - - ADJ cana-1918 61 3 sharing sharing NOUN cana-1918 61 4 and and CCONJ cana-1918 61 5 agreements agreement NOUN cana-1918 61 6 1 1 NUM cana-1918 61 7 . . PUNCT cana-1918 62 1 pre pre ADJ cana-1918 62 2 - - ADJ cana-1918 62 3 sharing sharing NOUN cana-1918 62 4 of of ADP cana-1918 62 5 cryptographic cryptographic ADJ cana-1918 62 6 keys key NOUN cana-1918 62 7 : : PUNCT cana-1918 62 8 cryptographic cryptographic ADJ cana-1918 62 9 keys key NOUN cana-1918 62 10 for for ADP cana-1918 62 11 permutation permutation NOUN cana-1918 62 12 , , PUNCT cana-1918 62 13 substitution substitution NOUN cana-1918 62 14 , , PUNCT cana-1918 62 15 and and CCONJ cana-1918 62 16 hashing hashing NOUN cana-1918 62 17 must must AUX cana-1918 62 18 be be AUX cana-1918 62 19 securely securely ADV cana-1918 62 20 pre pre VERB cana-1918 62 21 - - VERB cana-1918 62 22 shared shared ADJ cana-1918 62 23 among among ADP cana-1918 62 24 authorized authorize VERB cana-1918 62 25 users user NOUN cana-1918 62 26 using use VERB cana-1918 62 27 post post ADJ cana-1918 62 28 - - ADJ cana-1918 62 29 quantum quantum ADJ cana-1918 62 30 key key ADJ cana-1918 62 31 exchange exchange NOUN cana-1918 62 32 protocols protocol NOUN cana-1918 62 33 like like ADP cana-1918 62 34 newhope newhope NOUN cana-1918 62 35 or or CCONJ cana-1918 62 36 a a DET cana-1918 62 37 quantum quantum NOUN cana-1918 62 38 - - PUNCT cana-1918 62 39 resistant resistant ADJ cana-1918 62 40 key key ADJ cana-1918 62 41 management management NOUN cana-1918 62 42 service service NOUN cana-1918 62 43 ( ( PUNCT cana-1918 62 44 kms kms PROPN cana-1918 62 45 ) ) PUNCT cana-1918 62 46 . . PUNCT cana-1918 63 1 2 2 X cana-1918 63 2 . . X cana-1918 63 3 user user NOUN cana-1918 63 4 agreements agreement NOUN cana-1918 63 5 and and CCONJ cana-1918 63 6 compliance compliance NOUN cana-1918 63 7 : : PUNCT cana-1918 63 8 all all DET cana-1918 63 9 data datum NOUN cana-1918 63 10 embedding embed VERB cana-1918 63 11 and and CCONJ cana-1918 63 12 retrieval retrieval NOUN cana-1918 63 13 users user NOUN cana-1918 63 14 must must AUX cana-1918 63 15 adhere adhere VERB cana-1918 63 16 to to ADP cana-1918 63 17 strict strict ADJ cana-1918 63 18 protocols protocol NOUN cana-1918 63 19 regarding regard VERB cana-1918 63 20 key key ADJ cana-1918 63 21 usage usage NOUN cana-1918 63 22 , , PUNCT cana-1918 63 23 access access NOUN cana-1918 63 24 controls control NOUN cana-1918 63 25 , , PUNCT cana-1918 63 26 and and CCONJ cana-1918 63 27 data datum NOUN cana-1918 63 28 handling handling NOUN cana-1918 63 29 procedures procedure NOUN cana-1918 63 30 . . PUNCT cana-1918 64 1 agreements agreement NOUN cana-1918 64 2 should should AUX cana-1918 64 3 include include VERB cana-1918 64 4 terms term NOUN cana-1918 64 5 for for ADP cana-1918 64 6 regular regular ADJ cana-1918 64 7 quantum quantum NOUN cana-1918 64 8 - - PUNCT cana-1918 64 9 resistant resistant ADJ cana-1918 64 10 audits audits NOUN cana-1918 64 11 and and CCONJ cana-1918 64 12 compliance compliance NOUN cana-1918 64 13 with with ADP cana-1918 64 14 advanced advanced ADJ cana-1918 64 15 security security NOUN cana-1918 64 16 policies policy NOUN cana-1918 64 17 . . PUNCT cana-1918 65 1 b. b. PROPN cana-1918 65 2 proposed propose VERB cana-1918 65 3 mechanism mechanism NOUN cana-1918 65 4 explanation explanation VERB cana-1918 65 5 the the DET cana-1918 65 6 proposed propose VERB cana-1918 65 7 mechanism mechanism NOUN cana-1918 65 8 consists consist VERB cana-1918 65 9 of of ADP cana-1918 65 10 several several ADJ cana-1918 65 11 advanced advanced ADJ cana-1918 65 12 stages stage NOUN cana-1918 65 13 , , PUNCT cana-1918 65 14 each each PRON cana-1918 65 15 incorporating incorporate VERB cana-1918 65 16 sophisticated sophisticated ADJ cana-1918 65 17 cryptographic cryptographic ADJ cana-1918 65 18 operations operation NOUN cana-1918 65 19 to to PART cana-1918 65 20 ensure ensure VERB cana-1918 65 21 the the DET cana-1918 65 22 security security NOUN cana-1918 65 23 and and CCONJ cana-1918 65 24 integrity integrity NOUN cana-1918 65 25 of of ADP cana-1918 65 26 the the DET cana-1918 65 27 embedded embed VERB cana-1918 65 28 data datum NOUN cana-1918 65 29 . . PUNCT cana-1918 66 1 secret secret ADJ cana-1918 66 2 encoding encoding NOUN cana-1918 66 3 using use VERB cana-1918 66 4 modular modular ADJ cana-1918 66 5 arithmetic arithmetic ADJ cana-1918 66 6 and and CCONJ cana-1918 66 7 homomorphic homomorphic ADJ cana-1918 66 8 encryption encryption NOUN cana-1918 66 9 the the DET cana-1918 66 10 secret secret ADJ cana-1918 66 11 message message NOUN cana-1918 66 12 ′𝑠′ ′𝑠′ NOUN cana-1918 66 13 is be AUX cana-1918 66 14 encoded encode VERB cana-1918 66 15 into into ADP cana-1918 66 16 a a DET cana-1918 66 17 base base NOUN cana-1918 66 18 ′𝐡 ′𝐡 NOUN cana-1918 66 19 , , PUNCT cana-1918 66 20 representation representation NOUN cana-1918 66 21 using use VERB cana-1918 66 22 modular modular ADJ cana-1918 66 23 arithmetic arithmetic NOUN cana-1918 66 24 . . PUNCT cana-1918 67 1 the the DET cana-1918 67 2 encoded encode VERB cana-1918 67 3 message message NOUN cana-1918 67 4 is be AUX cana-1918 67 5 then then ADV cana-1918 67 6 homomorphically homomorphically ADV cana-1918 67 7 encrypted encrypt VERB cana-1918 67 8 to to PART cana-1918 67 9 allow allow VERB cana-1918 67 10 computations computation NOUN cana-1918 67 11 on on ADP cana-1918 67 12 the the DET cana-1918 67 13 ciphertext ciphertext NOUN cana-1918 67 14 without without ADP cana-1918 67 15 decrypting decrypt VERB cana-1918 67 16 it it PRON cana-1918 67 17 , , PUNCT cana-1918 67 18 preserving preserve VERB cana-1918 67 19 data datum NOUN cana-1918 67 20 privacy privacy NOUN cana-1918 67 21 : : PUNCT cana-1918 67 22 𝑆𝐡 𝑆𝐡 PROPN cana-1918 67 23 = = SYM cana-1918 67 24 βˆ‘ βˆ‘ PUNCT cana-1918 67 25 𝑆𝑖. 𝑆𝑖. PROPN cana-1918 67 26 𝐡𝑖 𝐡𝑖 PROPN cana-1918 67 27 π‘›βˆ’1 π‘›βˆ’1 PROPN cana-1918 67 28 𝑖=0 𝑖=0 PROPN cana-1918 67 29 π‘šπ‘œπ‘‘π‘ƒ π‘šπ‘œπ‘‘π‘ƒ PRON cana-1918 67 30 e(𝑆𝐡 e(𝑆𝐡 PROPN cana-1918 67 31 ) ) PUNCT cana-1918 67 32 = = PROPN cana-1918 67 33 e(βˆ‘ e(βˆ‘ PROPN cana-1918 67 34 𝑆𝑖 𝑆𝑖 PROPN cana-1918 67 35 . . PUNCT cana-1918 68 1 𝐡𝑖 𝐡𝑖 PROPN cana-1918 68 2 π‘›βˆ’1 π‘›βˆ’1 PROPN cana-1918 68 3 𝑖=0 𝑖=0 PROPN cana-1918 68 4 π‘šπ‘œπ‘‘π‘ƒ π‘šπ‘œπ‘‘π‘ƒ NOUN cana-1918 68 5 ) ) PUNCT cana-1918 68 6 where where SCONJ cana-1918 68 7 : : PUNCT cana-1918 68 8 𝑆𝑖 𝑆𝑖 PROPN cana-1918 68 9 represents represent VERB cana-1918 68 10 the the DET cana-1918 68 11 individual individual ADJ cana-1918 68 12 elements element NOUN cana-1918 68 13 of of ADP cana-1918 68 14 the the DET cana-1918 68 15 secret secret ADJ cana-1918 68 16 message message NOUN cana-1918 68 17 . . PUNCT cana-1918 69 1 𝐡𝑖 𝐡𝑖 PROPN cana-1918 69 2 is be AUX cana-1918 69 3 the the DET cana-1918 69 4 chosen choose VERB cana-1918 69 5 base base NOUN cana-1918 69 6 for for ADP cana-1918 69 7 determining determine VERB cana-1918 69 8 the the DET cana-1918 69 9 encoding encoding NOUN cana-1918 69 10 complexity complexity NOUN cana-1918 69 11 . . PUNCT cana-1918 70 1 𝑃 𝑃 NOUN cana-1918 70 2 is be AUX cana-1918 70 3 a a DET cana-1918 70 4 large large ADJ cana-1918 70 5 prime prime ADJ cana-1918 70 6 number number NOUN cana-1918 70 7 that that PRON cana-1918 70 8 ensures ensure VERB cana-1918 70 9 the the DET cana-1918 70 10 non non ADJ cana-1918 70 11 - - ADJ cana-1918 70 12 cyclic cyclic ADJ cana-1918 70 13 properties property NOUN cana-1918 70 14 communications communication NOUN cana-1918 70 15 on on ADP cana-1918 70 16 applied apply VERB cana-1918 70 17 nonlinear nonlinear ADJ cana-1918 70 18 analysis analysis NOUN cana-1918 70 19 issn issn NOUN cana-1918 70 20 : : PUNCT cana-1918 70 21 1074 1074 NUM cana-1918 70 22 - - PUNCT cana-1918 70 23 133x 133x NUM cana-1918 70 24 vol vol NOUN cana-1918 70 25 32 32 NUM cana-1918 70 26 no no NOUN cana-1918 70 27 . . NOUN cana-1918 70 28 2 2 NUM cana-1918 70 29 ( ( PUNCT cana-1918 70 30 2025 2025 NUM cana-1918 70 31 ) ) PUNCT cana-1918 71 1 736 736 NUM cana-1918 71 2 https://internationalpubls.com https://internationalpubls.com X cana-1918 71 3 of of ADP cana-1918 71 4 the the DET cana-1918 71 5 group group NOUN cana-1918 71 6 and and CCONJ cana-1918 71 7 provides provide VERB cana-1918 71 8 security security NOUN cana-1918 71 9 against against ADP cana-1918 71 10 algebraic algebraic ADJ cana-1918 71 11 attacks attack NOUN cana-1918 71 12 . . PUNCT cana-1918 72 1 e(𝑆𝐡 e(𝑆𝐡 PROPN cana-1918 72 2 ) ) PUNCT cana-1918 72 3 represents represent VERB cana-1918 72 4 the the DET cana-1918 72 5 homomorphically homomorphically ADV cana-1918 72 6 encrypted encrypt VERB cana-1918 72 7 encoded encode VERB cana-1918 72 8 message message NOUN cana-1918 72 9 , , PUNCT cana-1918 72 10 enabling enable VERB cana-1918 72 11 secure secure ADJ cana-1918 72 12 computation computation NOUN cana-1918 72 13 on on ADP cana-1918 72 14 the the DET cana-1918 72 15 ciphertext ciphertext NOUN cana-1918 72 16 . . PUNCT cana-1918 73 1 elliptic elliptic ADJ cana-1918 73 2 curve curve NOUN cana-1918 73 3 cryptographic cryptographic ADJ cana-1918 73 4 permutation permutation NOUN cana-1918 73 5 the the DET cana-1918 73 6 homomorphically homomorphically ADV cana-1918 73 7 encrypted encrypt VERB cana-1918 73 8 message message NOUN cana-1918 73 9 undergoes undergo VERB cana-1918 73 10 a a DET cana-1918 73 11 permutation permutation NOUN cana-1918 73 12 defined define VERB cana-1918 73 13 by by ADP cana-1918 73 14 a a DET cana-1918 73 15 secure secure ADJ cana-1918 73 16 elliptic elliptic ADJ cana-1918 73 17 curvebased curvebase VERB cana-1918 73 18 permutation permutation NOUN cana-1918 73 19 key key ADJ cana-1918 73 20 kp kp NOUN cana-1918 73 21 . . PUNCT cana-1918 74 1 the the DET cana-1918 74 2 permutation permutation NOUN cana-1918 74 3 function function NOUN cana-1918 74 4 β€²Ο€β€² β€²Ο€β€² NOUN cana-1918 74 5 is be AUX cana-1918 74 6 derived derive VERB cana-1918 74 7 from from ADP cana-1918 74 8 a a DET cana-1918 74 9 pseudo pseudo NOUN cana-1918 74 10 - - ADJ cana-1918 74 11 random random ADJ cana-1918 74 12 permutation permutation NOUN cana-1918 74 13 function function NOUN cana-1918 74 14 ( ( PUNCT cana-1918 74 15 prp prp PROPN cana-1918 74 16 ) ) PUNCT cana-1918 74 17 implemented implement VERB cana-1918 74 18 over over ADP cana-1918 74 19 an an DET cana-1918 74 20 elliptic elliptic ADJ cana-1918 74 21 curve curve NOUN cana-1918 74 22 : : PUNCT cana-1918 74 23 Ο€(e(𝑆𝐡 Ο€(e(𝑆𝐡 NUM cana-1918 74 24 ) ) PUNCT cana-1918 74 25 ) ) PUNCT cana-1918 75 1 = = SYM cana-1918 75 2 e(𝑆π(0 e(𝑆π(0 NOUN cana-1918 75 3 ) ) PUNCT cana-1918 75 4 , , PUNCT cana-1918 75 5 𝑆π(1 𝑆π(1 PROPN cana-1918 75 6 ) ) PUNCT cana-1918 75 7 … … PUNCT cana-1918 75 8 … … PUNCT cana-1918 75 9 … … PUNCT cana-1918 75 10 … … PUNCT cana-1918 75 11 . . PUNCT cana-1918 76 1 𝑆π(π‘›βˆ’1 𝑆π(π‘›βˆ’1 PROPN cana-1918 76 2 ) ) PUNCT cana-1918 76 3 ) ) PUNCT cana-1918 76 4 ) ) PUNCT cana-1918 77 1 where where SCONJ cana-1918 77 2 : : PUNCT cana-1918 77 3 β€²Ο€β€² β€²Ο€β€² NOUN cana-1918 77 4 represents represent VERB cana-1918 77 5 the the DET cana-1918 77 6 permutation permutation NOUN cana-1918 77 7 sequence sequence NOUN cana-1918 77 8 that that PRON cana-1918 77 9 reorders reorder VERB cana-1918 77 10 the the DET cana-1918 77 11 elements element NOUN cana-1918 77 12 of of ADP cana-1918 77 13 𝑆𝐡 𝑆𝐡 PROPN cana-1918 77 14 based base VERB cana-1918 77 15 on on ADP cana-1918 77 16 the the DET cana-1918 77 17 elliptic elliptic ADJ cana-1918 77 18 curve curve NOUN cana-1918 77 19 ’s ’s PART cana-1918 77 20 properties property NOUN cana-1918 77 21 , , PUNCT cana-1918 77 22 enhancing enhance VERB cana-1918 77 23 non non ADJ cana-1918 77 24 - - ADJ cana-1918 77 25 linearity linearity ADJ cana-1918 77 26 and and CCONJ cana-1918 77 27 complexity complexity NOUN cana-1918 77 28 and and CCONJ cana-1918 77 29 ensuring ensure VERB cana-1918 77 30 resistance resistance NOUN cana-1918 77 31 to to ADP cana-1918 77 32 quantum quantum ADJ cana-1918 77 33 and and CCONJ cana-1918 77 34 classical classical ADJ cana-1918 77 35 cryptanalysis cryptanalysis NOUN cana-1918 77 36 . . PUNCT cana-1918 78 1 substitution substitution NOUN cana-1918 78 2 using use VERB cana-1918 78 3 lattice lattice NOUN cana-1918 78 4 - - PUNCT cana-1918 78 5 based base VERB cana-1918 78 6 cryptographic cryptographic ADJ cana-1918 78 7 s s NOUN cana-1918 78 8 - - NOUN cana-1918 78 9 box box NOUN cana-1918 78 10 the the DET cana-1918 78 11 permuted permute VERB cana-1918 78 12 , , PUNCT cana-1918 78 13 encrypted encrypt VERB cana-1918 78 14 data datum NOUN cana-1918 78 15 is be AUX cana-1918 78 16 further far ADV cana-1918 78 17 transformed transform VERB cana-1918 78 18 using use VERB cana-1918 78 19 a a DET cana-1918 78 20 cryptographic cryptographic ADJ cana-1918 78 21 substitution substitution NOUN cana-1918 78 22 box box NOUN cana-1918 78 23 ( ( PUNCT cana-1918 78 24 s s NOUN cana-1918 78 25 - - NOUN cana-1918 78 26 box box NOUN cana-1918 78 27 ) ) PUNCT cana-1918 79 1 s s AUX cana-1918 79 2 based base VERB cana-1918 79 3 on on ADP cana-1918 79 4 lattice lattice NOUN cana-1918 79 5 - - PUNCT cana-1918 79 6 based base VERB cana-1918 79 7 cryptography cryptography NOUN cana-1918 79 8 , , PUNCT cana-1918 79 9 which which PRON cana-1918 79 10 provides provide VERB cana-1918 79 11 security security NOUN cana-1918 79 12 against against ADP cana-1918 79 13 quantum quantum NOUN cana-1918 79 14 attacks attack NOUN cana-1918 79 15 . . PUNCT cana-1918 80 1 this this DET cana-1918 80 2 non non ADJ cana-1918 80 3 - - ADJ cana-1918 80 4 linear linear ADJ cana-1918 80 5 transformation transformation NOUN cana-1918 80 6 increases increase VERB cana-1918 80 7 entropy entropy NOUN cana-1918 80 8 and and CCONJ cana-1918 80 9 resistance resistance NOUN cana-1918 80 10 to to ADP cana-1918 80 11 lattice lattice NOUN cana-1918 80 12 reduction reduction NOUN cana-1918 80 13 attacks attack NOUN cana-1918 80 14 : : PUNCT cana-1918 80 15 𝑆(πœ‹(𝐸(𝑆𝐡 𝑆(πœ‹(𝐸(𝑆𝐡 NUM cana-1918 80 16 ) ) PUNCT cana-1918 80 17 ) ) PUNCT cana-1918 80 18 ) ) PUNCT cana-1918 81 1 = = PRON cana-1918 81 2 { { PUNCT cana-1918 81 3 𝑆(𝑆π(0 𝑆(𝑆π(0 NUM cana-1918 81 4 ) ) PUNCT cana-1918 81 5 ) ) PUNCT cana-1918 81 6 , , PUNCT cana-1918 81 7 s(𝑆π(1 s(𝑆π(1 NOUN cana-1918 81 8 ) ) PUNCT cana-1918 81 9 ) ) PUNCT cana-1918 81 10 … … PUNCT cana-1918 81 11 … … PUNCT cana-1918 81 12 … … PUNCT cana-1918 81 13 … … PUNCT cana-1918 81 14 . . PUNCT cana-1918 82 1 s(𝑆π(π‘›βˆ’1 s(𝑆π(π‘›βˆ’1 NOUN cana-1918 82 2 ) ) PUNCT cana-1918 82 3 ) ) PUNCT cana-1918 82 4 } } PUNCT cana-1918 82 5 where where SCONJ cana-1918 82 6 ′𝑆′ ′𝑆′ NOUN cana-1918 82 7 is be AUX cana-1918 82 8 a a DET cana-1918 82 9 highly highly ADV cana-1918 82 10 non non ADJ cana-1918 82 11 - - ADJ cana-1918 82 12 linear linear ADJ cana-1918 82 13 function function NOUN cana-1918 82 14 derived derive VERB cana-1918 82 15 from from ADP cana-1918 82 16 lattice lattice NOUN cana-1918 82 17 - - PUNCT cana-1918 82 18 based base VERB cana-1918 82 19 cryptographic cryptographic ADJ cana-1918 82 20 constructs construct NOUN cana-1918 82 21 , , PUNCT cana-1918 82 22 ensuring ensure VERB cana-1918 82 23 that that SCONJ cana-1918 82 24 the the DET cana-1918 82 25 relationship relationship NOUN cana-1918 82 26 between between ADP cana-1918 82 27 input input NOUN cana-1918 82 28 and and CCONJ cana-1918 82 29 output output NOUN cana-1918 82 30 is be AUX cana-1918 82 31 complex complex ADJ cana-1918 82 32 and and CCONJ cana-1918 82 33 resistant resistant ADJ cana-1918 82 34 to to ADP cana-1918 82 35 both both CCONJ cana-1918 82 36 classical classical ADJ cana-1918 82 37 and and CCONJ cana-1918 82 38 quantum quantum ADJ cana-1918 82 39 cryptanalysis cryptanalysis NOUN cana-1918 82 40 hash hash NOUN cana-1918 82 41 - - PUNCT cana-1918 82 42 based base VERB cana-1918 82 43 file file NOUN cana-1918 82 44 mapping mapping NOUN cana-1918 82 45 with with ADP cana-1918 82 46 post post ADJ cana-1918 82 47 - - ADJ cana-1918 82 48 quantum quantum ADJ cana-1918 82 49 hash hash NOUN cana-1918 82 50 functions function NOUN cana-1918 82 51 the the DET cana-1918 82 52 transformed transform VERB cana-1918 82 53 data datum NOUN cana-1918 82 54 is be AUX cana-1918 82 55 then then ADV cana-1918 82 56 embedded embed VERB cana-1918 82 57 into into ADP cana-1918 82 58 the the DET cana-1918 82 59 cloud cloud NOUN cana-1918 82 60 storage storage NOUN cana-1918 82 61 by by ADP cana-1918 82 62 mapping map VERB cana-1918 82 63 each each DET cana-1918 82 64 substituted substitute VERB cana-1918 82 65 element element NOUN cana-1918 82 66 to to ADP cana-1918 82 67 a a DET cana-1918 82 68 specific specific ADJ cana-1918 82 69 file file NOUN cana-1918 82 70 in in ADP cana-1918 82 71 the the DET cana-1918 82 72 cloud cloud NOUN cana-1918 82 73 using use VERB cana-1918 82 74 a a DET cana-1918 82 75 secure secure ADJ cana-1918 82 76 post post ADJ cana-1918 82 77 - - ADJ cana-1918 82 78 quantum quantum ADJ cana-1918 82 79 hash hash NOUN cana-1918 82 80 function function NOUN cana-1918 82 81 h h NOUN cana-1918 82 82 : : PUNCT cana-1918 82 83 𝐹 𝐹 PROPN cana-1918 82 84 οΏ½ οΏ½ PROPN cana-1918 82 85 Μƒ Μƒ PROPN cana-1918 82 86 οΏ½ οΏ½ PROPN cana-1918 82 87 [i [i X cana-1918 82 88 ] ] X cana-1918 82 89 = = SYM cana-1918 82 90 h(s(Ο€(e(𝑆𝐡)[i]))mod h(s(Ο€(e(𝑆𝐡)[i]))mod PROPN cana-1918 82 91 n n CCONJ cana-1918 82 92 ) ) PUNCT cana-1918 82 93 where where SCONJ cana-1918 82 94 : : PUNCT cana-1918 82 95 𝐹 𝐹 PROPN cana-1918 82 96 οΏ½ οΏ½ PROPN cana-1918 82 97 Μƒ Μƒ PROPN cana-1918 82 98 οΏ½ οΏ½ PROPN cana-1918 82 99 [i [i X cana-1918 82 100 ] ] X cana-1918 82 101 = = PUNCT cana-1918 82 102 is be AUX cana-1918 82 103 the the DET cana-1918 82 104 file file NOUN cana-1918 82 105 in in ADP cana-1918 82 106 the the DET cana-1918 82 107 stego stego NOUN cana-1918 82 108 - - PUNCT cana-1918 82 109 folder folder NOUN cana-1918 82 110 corresponding corresponding NOUN cana-1918 82 111 to to ADP cana-1918 82 112 the the DET cana-1918 82 113 i i PROPN cana-1918 82 114 - - PUNCT cana-1918 82 115 th th X cana-1918 82 116 element element NOUN cana-1918 82 117 of of ADP cana-1918 82 118 the the DET cana-1918 82 119 transformed transform VERB cana-1918 82 120 sequence sequence NOUN cana-1918 82 121 . . PUNCT cana-1918 83 1 ′𝐻′ ′𝐻′ NOUN cana-1918 83 2 is be AUX cana-1918 83 3 a a DET cana-1918 83 4 post post ADJ cana-1918 83 5 - - ADJ cana-1918 83 6 quantum quantum ADJ cana-1918 83 7 hash hash NOUN cana-1918 83 8 function function NOUN cana-1918 83 9 such such ADJ cana-1918 83 10 as as ADP cana-1918 83 11 shake256 shake256 PROPN cana-1918 83 12 ( ( PUNCT cana-1918 83 13 a a DET cana-1918 83 14 variant variant NOUN cana-1918 83 15 of of ADP cana-1918 83 16 sha-3 sha-3 NOUN cana-1918 83 17 ) ) PUNCT cana-1918 83 18 , , PUNCT cana-1918 83 19 ensuring ensure VERB cana-1918 83 20 that that SCONJ cana-1918 83 21 the the DET cana-1918 83 22 mapping mapping NOUN cana-1918 83 23 is be AUX cana-1918 83 24 uniform uniform ADJ cana-1918 83 25 , , PUNCT cana-1918 83 26 collision collision NOUN cana-1918 83 27 - - PUNCT cana-1918 83 28 resistant resistant ADJ cana-1918 83 29 , , PUNCT cana-1918 83 30 and and CCONJ cana-1918 83 31 effectively effectively ADV cana-1918 83 32 obfuscates obfuscate VERB cana-1918 83 33 the the DET cana-1918 83 34 location location NOUN cana-1918 83 35 of of ADP cana-1918 83 36 the the DET cana-1918 83 37 embedded embed VERB cana-1918 83 38 data datum NOUN cana-1918 83 39 . . PUNCT cana-1918 84 1 quantum quantum NOUN cana-1918 84 2 - - PUNCT cana-1918 84 3 resistant resistant ADJ cana-1918 84 4 key key ADJ cana-1918 84 5 management management NOUN cana-1918 84 6 and and CCONJ cana-1918 84 7 distribution distribution NOUN cana-1918 84 8 cryptographic cryptographic ADJ cana-1918 84 9 keys key NOUN cana-1918 84 10 are be AUX cana-1918 84 11 generated generate VERB cana-1918 84 12 using use VERB cana-1918 84 13 quantum quantum NOUN cana-1918 84 14 - - PUNCT cana-1918 84 15 resistant resistant ADJ cana-1918 84 16 algorithms algorithm NOUN cana-1918 84 17 and and CCONJ cana-1918 84 18 managed manage VERB cana-1918 84 19 by by ADP cana-1918 84 20 a a DET cana-1918 84 21 quantumresistant quantumresistant ADJ cana-1918 84 22 key key ADJ cana-1918 84 23 management management NOUN cana-1918 84 24 system system NOUN cana-1918 84 25 ( ( PUNCT cana-1918 84 26 kms kms NOUN cana-1918 84 27 ) ) PUNCT cana-1918 84 28 . . PUNCT cana-1918 85 1 the the DET cana-1918 85 2 kms kms PROPN cana-1918 85 3 handles handle VERB cana-1918 85 4 key key ADJ cana-1918 85 5 storage storage NOUN cana-1918 85 6 , , PUNCT cana-1918 85 7 secure secure ADJ cana-1918 85 8 distribution distribution NOUN cana-1918 85 9 , , PUNCT cana-1918 85 10 and and CCONJ cana-1918 85 11 regular regular ADJ cana-1918 85 12 rotation rotation NOUN cana-1918 85 13 : : PUNCT cana-1918 85 14 1 1 X cana-1918 85 15 . . X cana-1918 85 16 elliptic elliptic ADJ cana-1918 85 17 curve curve NOUN cana-1918 85 18 permutation permutation NOUN cana-1918 85 19 key key ADJ cana-1918 85 20 kp kp PROPN cana-1918 85 21 : : PUNCT cana-1918 85 22 generated generate VERB cana-1918 85 23 using use VERB cana-1918 85 24 quantum quantum NOUN cana-1918 85 25 - - PUNCT cana-1918 85 26 resistant resistant ADJ cana-1918 85 27 cryptographic cryptographic ADJ cana-1918 85 28 algorithms algorithm NOUN cana-1918 85 29 like like ADP cana-1918 85 30 curve25519 curve25519 PROPN cana-1918 85 31 , , PUNCT cana-1918 85 32 securely securely ADV cana-1918 85 33 stored store VERB cana-1918 85 34 in in ADP cana-1918 85 35 the the DET cana-1918 85 36 kms kms PROPN cana-1918 85 37 , , PUNCT cana-1918 85 38 and and CCONJ cana-1918 85 39 distributed distribute VERB cana-1918 85 40 using use VERB cana-1918 85 41 quantum quantum NOUN cana-1918 85 42 - - PUNCT cana-1918 85 43 resistant resistant ADJ cana-1918 85 44 key key ADJ cana-1918 85 45 exchange exchange NOUN cana-1918 85 46 protocols protocol NOUN cana-1918 85 47 . . PUNCT cana-1918 86 1 2 2 X cana-1918 86 2 . . X cana-1918 86 3 lattice lattice NOUN cana-1918 86 4 - - PUNCT cana-1918 86 5 based base VERB cana-1918 86 6 substitution substitution NOUN cana-1918 86 7 s s NOUN cana-1918 86 8 - - NOUN cana-1918 86 9 box box NOUN cana-1918 86 10 s s PART cana-1918 86 11 : : PUNCT cana-1918 86 12 generated generate VERB cana-1918 86 13 from from ADP cana-1918 86 14 lattice lattice NOUN cana-1918 86 15 - - PUNCT cana-1918 86 16 based base VERB cana-1918 86 17 cryptographic cryptographic ADJ cana-1918 86 18 constructs construct NOUN cana-1918 86 19 and and CCONJ cana-1918 86 20 securely securely ADV cana-1918 86 21 managed manage VERB cana-1918 86 22 within within ADP cana-1918 86 23 the the DET cana-1918 86 24 kms kms PROPN cana-1918 86 25 . . PROPN cana-1918 86 26 3 3 X cana-1918 86 27 . . X cana-1918 86 28 post post ADJ cana-1918 86 29 - - ADJ cana-1918 86 30 quantum quantum ADJ cana-1918 86 31 hash hash NOUN cana-1918 86 32 function function NOUN cana-1918 86 33 h h NOUN cana-1918 86 34 : : PUNCT cana-1918 86 35 selected select VERB cana-1918 86 36 to to PART cana-1918 86 37 ensure ensure VERB cana-1918 86 38 security security NOUN cana-1918 86 39 against against ADP cana-1918 86 40 quantum quantum NOUN cana-1918 86 41 attacks attack NOUN cana-1918 86 42 , , PUNCT cana-1918 86 43 with with ADP cana-1918 86 44 shake256 shake256 PROPN cana-1918 86 45 providing provide VERB cana-1918 86 46 the the DET cana-1918 86 47 necessary necessary ADJ cana-1918 86 48 cryptographic cryptographic ADJ cana-1918 86 49 strength strength NOUN cana-1918 86 50 . . PUNCT cana-1918 87 1 keys key NOUN cana-1918 87 2 are be AUX cana-1918 87 3 rotated rotate VERB cana-1918 87 4 periodically periodically ADV cana-1918 87 5 to to PART cana-1918 87 6 prevent prevent VERB cana-1918 87 7 key key ADJ cana-1918 87 8 exhaustion exhaustion NOUN cana-1918 87 9 and and CCONJ cana-1918 87 10 mitigate mitigate VERB cana-1918 87 11 the the DET cana-1918 87 12 risk risk NOUN cana-1918 87 13 of of ADP cana-1918 87 14 quantum quantum NOUN cana-1918 87 15 - - PUNCT cana-1918 87 16 based base VERB cana-1918 87 17 attacks attack NOUN cana-1918 87 18 . . PUNCT cana-1918 88 1 communications communication NOUN cana-1918 88 2 on on ADP cana-1918 88 3 applied apply VERB cana-1918 88 4 nonlinear nonlinear ADJ cana-1918 88 5 analysis analysis NOUN cana-1918 88 6 issn issn NOUN cana-1918 88 7 : : PUNCT cana-1918 88 8 1074 1074 NUM cana-1918 88 9 - - PUNCT cana-1918 88 10 133x 133x NUM cana-1918 88 11 vol vol NOUN cana-1918 88 12 32 32 NUM cana-1918 88 13 no no NOUN cana-1918 88 14 . . NOUN cana-1918 88 15 2 2 NUM cana-1918 88 16 ( ( PUNCT cana-1918 88 17 2025 2025 NUM cana-1918 88 18 ) ) PUNCT cana-1918 88 19 737 737 NUM cana-1918 88 20 https://internationalpubls.com https://internationalpubls.com X cana-1918 88 21 table table NOUN cana-1918 88 22 2 2 NUM cana-1918 88 23 : : PUNCT cana-1918 88 24 key key ADJ cana-1918 88 25 management management NOUN cana-1918 88 26 system system NOUN cana-1918 88 27 ( ( PUNCT cana-1918 88 28 kms kms NOUN cana-1918 88 29 ) ) PUNCT cana-1918 88 30 overview overview VERB cana-1918 88 31 key key ADJ cana-1918 88 32 type type NOUN cana-1918 88 33 generation generation NOUN cana-1918 88 34 method method NOUN cana-1918 88 35 distribution distribution NOUN cana-1918 88 36 protocol protocol NOUN cana-1918 88 37 rotation rotation NOUN cana-1918 88 38 frequency frequency NOUN cana-1918 88 39 elliptic elliptic ADJ cana-1918 88 40 curve curve NOUN cana-1918 88 41 permutation permutation NOUN cana-1918 88 42 key key ADJ cana-1918 88 43 quantum quantum NOUN cana-1918 88 44 - - PUNCT cana-1918 88 45 resistant resistant ADJ cana-1918 88 46 curve25519 curve25519 PROPN cana-1918 88 47 quantum quantum NOUN cana-1918 88 48 - - PUNCT cana-1918 88 49 resistant resistant ADJ cana-1918 88 50 key key ADJ cana-1918 88 51 exchange exchange NOUN cana-1918 88 52 every every DET cana-1918 88 53 30 30 NUM cana-1918 88 54 days day NOUN cana-1918 88 55 lattice lattice NOUN cana-1918 88 56 - - PUNCT cana-1918 88 57 based base VERB cana-1918 88 58 substitution substitution NOUN cana-1918 88 59 s s NOUN cana-1918 88 60 - - PUNCT cana-1918 88 61 box box NOUN cana-1918 88 62 lattice lattice NOUN cana-1918 88 63 - - PUNCT cana-1918 88 64 based base VERB cana-1918 88 65 cryptographic cryptographic ADJ cana-1918 88 66 constructs construct NOUN cana-1918 88 67 secure secure VERB cana-1918 88 68 kms kms PROPN cana-1918 88 69 every every DET cana-1918 88 70 60 60 NUM cana-1918 88 71 days day NOUN cana-1918 88 72 post post ADJ cana-1918 88 73 - - ADJ cana-1918 88 74 quantum quantum ADJ cana-1918 88 75 hash hash NOUN cana-1918 88 76 function function NOUN cana-1918 88 77 key key ADJ cana-1918 88 78 shake256 shake256 PROPN cana-1918 88 79 secure secure ADJ cana-1918 88 80 kms kms PROPN cana-1918 88 81 as as ADP cana-1918 88 82 required require VERB cana-1918 88 83 4 4 NUM cana-1918 88 84 . . PUNCT cana-1918 88 85 proposed propose VERB cana-1918 88 86 mechanism mechanism NOUN cana-1918 88 87 algorithm algorithm NOUN cana-1918 88 88 a. a. NOUN cana-1918 88 89 embedding embed VERB cana-1918 88 90 algorithm algorithm NOUN cana-1918 88 91 input input NOUN cana-1918 88 92 : : PUNCT cana-1918 88 93 secret secret ADJ cana-1918 88 94 message message NOUN cana-1918 88 95 𝑠 𝑠 PROPN cana-1918 88 96 , , PUNCT cana-1918 88 97 prime prime ADJ cana-1918 88 98 number number NOUN cana-1918 88 99 𝑃 𝑃 NOUN cana-1918 88 100 , , PUNCT cana-1918 88 101 base base NOUN cana-1918 88 102 𝐡 𝐡 NOUN cana-1918 88 103 cloud cloud NOUN cana-1918 88 104 storage storage NOUN cana-1918 88 105 credentials credential NOUN cana-1918 88 106 𝐢 𝐢 PROPN cana-1918 88 107 elliptic elliptic ADJ cana-1918 88 108 curve curve NOUN cana-1918 88 109 permutation permutation NOUN cana-1918 88 110 key key ADJ cana-1918 88 111 kp kp NOUN cana-1918 88 112 , , PUNCT cana-1918 88 113 lattice lattice NOUN cana-1918 88 114 - - PUNCT cana-1918 88 115 based base VERB cana-1918 88 116 substitution substitution NOUN cana-1918 88 117 s s NOUN cana-1918 88 118 - - PUNCT cana-1918 88 119 box box NOUN cana-1918 88 120 𝑆 𝑆 PROPN cana-1918 88 121 , , PUNCT cana-1918 88 122 post post ADJ cana-1918 88 123 - - ADJ cana-1918 88 124 quantum quantum ADJ cana-1918 88 125 hash hash NOUN cana-1918 88 126 function function NOUN cana-1918 88 127 𝐻 𝐻 PROPN cana-1918 88 128 , , PUNCT cana-1918 88 129 number number NOUN cana-1918 88 130 of of ADP cana-1918 88 131 files file NOUN cana-1918 88 132 𝑁 𝑁 PROPN cana-1918 88 133 in in ADP cana-1918 88 134 cloud cloud NOUN cana-1918 88 135 folders folder NOUN cana-1918 88 136 output output NOUN cana-1918 88 137 : : PUNCT cana-1918 88 138 stego stego NOUN cana-1918 88 139 - - PUNCT cana-1918 88 140 folder folder NOUN cana-1918 88 141 𝐹 𝐹 PROPN cana-1918 88 142 οΏ½ οΏ½ PROPN cana-1918 88 143 Μƒ Μƒ PROPN cana-1918 88 144 οΏ½ οΏ½ NOUN cana-1918 88 145 containing contain VERB cana-1918 88 146 the the DET cana-1918 88 147 embedded embed VERB cana-1918 88 148 secret secret ADJ cana-1918 88 149 steps step NOUN cana-1918 88 150 : : PUNCT cana-1918 88 151 1 1 X cana-1918 88 152 . . X cana-1918 88 153 modular modular ADJ cana-1918 88 154 encoding encoding NOUN cana-1918 88 155 with with ADP cana-1918 88 156 homomorphic homomorphic ADJ cana-1918 88 157 encryption encryption NOUN cana-1918 88 158 : : PUNCT cana-1918 88 159 encode encode VERB cana-1918 88 160 and and CCONJ cana-1918 88 161 encrypt encrypt VERB cana-1918 88 162 the the DET cana-1918 88 163 secret secret ADJ cana-1918 88 164 message message NOUN cana-1918 88 165 : : PUNCT cana-1918 88 166 𝑆𝐡 𝑆𝐡 PROPN cana-1918 88 167 = = SYM cana-1918 88 168 βˆ‘ βˆ‘ PUNCT cana-1918 88 169 𝑆𝑖. 𝑆𝑖. PROPN cana-1918 88 170 𝐡𝑖 𝐡𝑖 PROPN cana-1918 88 171 π‘›βˆ’1 π‘›βˆ’1 PROPN cana-1918 88 172 𝑖=0 𝑖=0 PROPN cana-1918 88 173 π‘šπ‘œπ‘‘π‘ƒ π‘šπ‘œπ‘‘π‘ƒ PRON cana-1918 88 174 e(𝑆𝐡 e(𝑆𝐡 PROPN cana-1918 88 175 ) ) PUNCT cana-1918 88 176 = = PROPN cana-1918 89 1 e(βˆ‘ e(βˆ‘ PROPN cana-1918 89 2 𝑆𝑖 𝑆𝑖 PROPN cana-1918 89 3 . . PUNCT cana-1918 90 1 𝐡𝑖 𝐡𝑖 PROPN cana-1918 90 2 π‘›βˆ’1 π‘›βˆ’1 PROPN cana-1918 90 3 𝑖=0 𝑖=0 PROPN cana-1918 90 4 π‘šπ‘œπ‘‘π‘ƒ π‘šπ‘œπ‘‘π‘ƒ NOUN cana-1918 90 5 ) ) PUNCT cana-1918 90 6 2 2 NUM cana-1918 90 7 . . PUNCT cana-1918 90 8 elliptic elliptic ADJ cana-1918 90 9 curve curve NOUN cana-1918 90 10 permutation permutation NOUN cana-1918 90 11 : : PUNCT cana-1918 90 12 permute permute VERB cana-1918 90 13 the the DET cana-1918 90 14 encrypted encrypt VERB cana-1918 90 15 sequence sequence NOUN cana-1918 90 16 : : PUNCT cana-1918 90 17 Ο€(e(𝑆𝐡 Ο€(e(𝑆𝐡 NUM cana-1918 90 18 ) ) PUNCT cana-1918 90 19 ) ) PUNCT cana-1918 91 1 = = SYM cana-1918 91 2 e(𝑆π(0 e(𝑆π(0 NOUN cana-1918 91 3 ) ) PUNCT cana-1918 91 4 , , PUNCT cana-1918 91 5 𝑆π(1 𝑆π(1 PROPN cana-1918 91 6 ) ) PUNCT cana-1918 91 7 … … PUNCT cana-1918 91 8 … … PUNCT cana-1918 91 9 … … PUNCT cana-1918 91 10 … … PUNCT cana-1918 91 11 . . PUNCT cana-1918 92 1 𝑆π(π‘›βˆ’1 𝑆π(π‘›βˆ’1 PROPN cana-1918 92 2 ) ) PUNCT cana-1918 92 3 ) ) PUNCT cana-1918 92 4 ) ) PUNCT cana-1918 93 1 3 3 X cana-1918 93 2 . . X cana-1918 93 3 lattice lattice NOUN cana-1918 93 4 - - PUNCT cana-1918 93 5 based base VERB cana-1918 93 6 substitution substitution NOUN cana-1918 93 7 : : PUNCT cana-1918 93 8 apply apply VERB cana-1918 93 9 the the DET cana-1918 93 10 s s PROPN cana-1918 93 11 - - PUNCT cana-1918 93 12 box box NOUN cana-1918 93 13 substitution substitution NOUN cana-1918 93 14 : : PUNCT cana-1918 93 15 𝑆(πœ‹(𝐸(𝑆𝐡 𝑆(πœ‹(𝐸(𝑆𝐡 NUM cana-1918 93 16 ) ) PUNCT cana-1918 93 17 ) ) PUNCT cana-1918 93 18 ) ) PUNCT cana-1918 94 1 = = PRON cana-1918 94 2 { { PUNCT cana-1918 94 3 𝑆(𝑆π(0 𝑆(𝑆π(0 NUM cana-1918 94 4 ) ) PUNCT cana-1918 94 5 ) ) PUNCT cana-1918 94 6 , , PUNCT cana-1918 94 7 s(𝑆π(1 s(𝑆π(1 NOUN cana-1918 94 8 ) ) PUNCT cana-1918 94 9 ) ) PUNCT cana-1918 94 10 … … PUNCT cana-1918 94 11 … … PUNCT cana-1918 94 12 … … PUNCT cana-1918 94 13 … … PUNCT cana-1918 94 14 . . PUNCT cana-1918 95 1 s(𝑆π(π‘›βˆ’1 s(𝑆π(π‘›βˆ’1 NOUN cana-1918 95 2 ) ) PUNCT cana-1918 95 3 ) ) PUNCT cana-1918 95 4 } } PUNCT cana-1918 95 5 4 4 X cana-1918 95 6 . . X cana-1918 95 7 post post ADJ cana-1918 95 8 - - ADJ cana-1918 95 9 quantum quantum ADJ cana-1918 95 10 hash hash NOUN cana-1918 95 11 - - PUNCT cana-1918 95 12 based base VERB cana-1918 95 13 mapping mapping NOUN cana-1918 95 14 to to PART cana-1918 95 15 cloud cloud ADJ cana-1918 95 16 files file NOUN cana-1918 95 17 : : PUNCT cana-1918 95 18 map map VERB cana-1918 95 19 the the DET cana-1918 95 20 substituted substitute VERB cana-1918 95 21 data datum NOUN cana-1918 95 22 to to ADP cana-1918 95 23 specific specific ADJ cana-1918 95 24 files file NOUN cana-1918 95 25 in in ADP cana-1918 95 26 the the DET cana-1918 95 27 cloud cloud NOUN cana-1918 95 28 : : PUNCT cana-1918 95 29 𝐹 𝐹 PROPN cana-1918 95 30 οΏ½ οΏ½ PROPN cana-1918 95 31 Μƒ Μƒ PROPN cana-1918 95 32 οΏ½ οΏ½ PROPN cana-1918 95 33 [i [i X cana-1918 95 34 ] ] X cana-1918 95 35 = = PUNCT cana-1918 95 36 h(s(Ο€(e(𝑆𝐡)[i]))modn h(s(Ο€(e(𝑆𝐡)[i]))modn NOUN cana-1918 95 37 ) ) PUNCT cana-1918 95 38 5 5 NUM cana-1918 95 39 . . X cana-1918 95 40 store store NOUN cana-1918 95 41 in in ADP cana-1918 95 42 cloud cloud NOUN cana-1918 95 43 : : PUNCT cana-1918 95 44 store store VERB cana-1918 95 45 the the DET cana-1918 95 46 mapped map VERB cana-1918 95 47 files file NOUN cana-1918 95 48 in in ADP cana-1918 95 49 the the DET cana-1918 95 50 stego stego NOUN cana-1918 95 51 - - PUNCT cana-1918 95 52 folde folde ADJ cana-1918 95 53 𝐹 𝐹 PROPN cana-1918 95 54 οΏ½ οΏ½ PROPN cana-1918 95 55 Μƒ Μƒ PROPN cana-1918 95 56 οΏ½ οΏ½ PROPN cana-1918 95 57 in in ADP cana-1918 95 58 the the DET cana-1918 95 59 cloud cloud NOUN cana-1918 95 60 . . PUNCT cana-1918 96 1 b. b. PROPN cana-1918 96 2 extraction extraction NOUN cana-1918 96 3 algorithm algorithm NOUN cana-1918 96 4 input input NOUN cana-1918 96 5 : : PUNCT cana-1918 96 6 stego stego NOUN cana-1918 96 7 - - PUNCT cana-1918 96 8 folder folder NOUN cana-1918 96 9 𝐹 𝐹 PROPN cana-1918 96 10 οΏ½ οΏ½ PROPN cana-1918 96 11 Μƒ Μƒ PROPN cana-1918 96 12 οΏ½ οΏ½ PROPN cana-1918 96 13 , , PUNCT cana-1918 96 14 prime prime ADJ cana-1918 96 15 number number NOUN cana-1918 96 16 p p NOUN cana-1918 96 17 , , PUNCT cana-1918 96 18 base base NOUN cana-1918 96 19 , , PUNCT cana-1918 96 20 cloud cloud NOUN cana-1918 96 21 storage storage NOUN cana-1918 96 22 credentials credential NOUN cana-1918 96 23 c c NOUN cana-1918 96 24 , , PUNCT cana-1918 96 25 elliptic elliptic ADJ cana-1918 96 26 curve curve NOUN cana-1918 96 27 permutation permutation NOUN cana-1918 96 28 key key ADJ cana-1918 96 29 kp kp NOUN cana-1918 96 30 , , PUNCT cana-1918 96 31 lattice lattice NOUN cana-1918 96 32 - - PUNCT cana-1918 96 33 based base VERB cana-1918 96 34 substitution substitution NOUN cana-1918 96 35 s s NOUN cana-1918 96 36 - - NOUN cana-1918 96 37 box box NOUN cana-1918 96 38 s s PROPN cana-1918 96 39 , , PUNCT cana-1918 96 40 post post ADJ cana-1918 96 41 - - ADJ cana-1918 96 42 quantum quantum ADJ cana-1918 96 43 hash hash NOUN cana-1918 96 44 function function NOUN cana-1918 96 45 h h NOUN cana-1918 96 46 output output NOUN cana-1918 96 47 : : PUNCT cana-1918 96 48 retrieved retrieve VERB cana-1918 96 49 secret secret ADJ cana-1918 96 50 message message NOUN cana-1918 96 51 s s PART cana-1918 96 52 communications communication NOUN cana-1918 96 53 on on ADP cana-1918 96 54 applied apply VERB cana-1918 96 55 nonlinear nonlinear ADJ cana-1918 96 56 analysis analysis NOUN cana-1918 96 57 issn issn NOUN cana-1918 96 58 : : PUNCT cana-1918 96 59 1074 1074 NUM cana-1918 96 60 - - PUNCT cana-1918 96 61 133x 133x NUM cana-1918 96 62 vol vol NOUN cana-1918 96 63 32 32 NUM cana-1918 96 64 no no NOUN cana-1918 96 65 . . NOUN cana-1918 96 66 2 2 NUM cana-1918 96 67 ( ( PUNCT cana-1918 96 68 2025 2025 NUM cana-1918 96 69 ) ) PUNCT cana-1918 96 70 738 738 NUM cana-1918 96 71 https://internationalpubls.com https://internationalpubls.com NUM cana-1918 96 72 steps step NOUN cana-1918 96 73 : : PUNCT cana-1918 96 74 1 1 X cana-1918 96 75 . . X cana-1918 96 76 retrieve retrieve VERB cana-1918 96 77 stego stego NOUN cana-1918 96 78 - - PUNCT cana-1918 96 79 folder folder NOUN cana-1918 96 80 from from ADP cana-1918 96 81 cloud cloud NOUN cana-1918 96 82 : : PUNCT cana-1918 96 83 access access NOUN cana-1918 96 84 and and CCONJ cana-1918 96 85 retrieve retrieve VERB cana-1918 96 86 the the DET cana-1918 96 87 files file NOUN cana-1918 96 88 from from ADP cana-1918 96 89 𝐹 𝐹 PROPN cana-1918 96 90 οΏ½ οΏ½ PROPN cana-1918 96 91 Μƒ Μƒ PROPN cana-1918 96 92 οΏ½ οΏ½ PROPN cana-1918 96 93 2 2 NUM cana-1918 96 94 . . PUNCT cana-1918 96 95 inverse inverse ADJ cana-1918 96 96 hash hash NOUN cana-1918 96 97 mapping mapping NOUN cana-1918 96 98 : : PUNCT cana-1918 96 99 reconstruct reconstruct VERB cana-1918 96 100 the the DET cana-1918 96 101 substituted substitute VERB cana-1918 96 102 sequence sequence NOUN cana-1918 96 103 : : PUNCT cana-1918 96 104 𝑆(πœ‹βˆ’1(𝐹 𝑆(πœ‹βˆ’1(𝐹 X cana-1918 96 105 οΏ½ οΏ½ PROPN cana-1918 96 106 Μƒ Μƒ NOUN cana-1918 96 107 οΏ½ οΏ½ NOUN cana-1918 96 108 [i [i X cana-1918 96 109 ] ] X cana-1918 96 110 ) ) PUNCT cana-1918 96 111 ) ) PUNCT cana-1918 97 1 = = SYM cana-1918 97 2 π»βˆ’1(𝐹 π»βˆ’1(𝐹 PROPN cana-1918 97 3 οΏ½ οΏ½ PROPN cana-1918 97 4 Μƒ Μƒ NOUN cana-1918 97 5 οΏ½ οΏ½ PROPN cana-1918 97 6 [i [i X cana-1918 97 7 ] ] X cana-1918 97 8 ) ) PUNCT cana-1918 97 9 3 3 NUM cana-1918 97 10 . . PUNCT cana-1918 97 11 inverse inverse NOUN cana-1918 97 12 substitution substitution NOUN cana-1918 97 13 : : PUNCT cana-1918 97 14 apply apply VERB cana-1918 97 15 the the DET cana-1918 97 16 inverse inverse NOUN cana-1918 97 17 s s NOUN cana-1918 97 18 - - NOUN cana-1918 97 19 box box NOUN cana-1918 97 20 : : PUNCT cana-1918 97 21 Ο€βˆ’1(sβˆ’1(f𝑆 Ο€βˆ’1(sβˆ’1(f𝑆 PROPN cana-1918 97 22 οΏ½ οΏ½ PROPN cana-1918 97 23 Μƒ Μƒ PROPN cana-1918 97 24 οΏ½ οΏ½ PROPN cana-1918 97 25 [i [i X cana-1918 97 26 ] ] X cana-1918 97 27 ) ) PUNCT cana-1918 97 28 ) ) PUNCT cana-1918 98 1 = = PUNCT cana-1918 98 2 𝑠𝐡[i 𝑠𝐡[i X cana-1918 98 3 ] ] X cana-1918 98 4 4 4 NUM cana-1918 98 5 . . PUNCT cana-1918 98 6 inverse inverse ADJ cana-1918 98 7 permutation permutation NOUN cana-1918 98 8 : : PUNCT cana-1918 98 9 reverse reverse VERB cana-1918 98 10 the the DET cana-1918 98 11 permutation permutation NOUN cana-1918 98 12 : : PUNCT cana-1918 98 13 𝑠𝐡 𝑠𝐡 PROPN cana-1918 98 14 = = SYM cana-1918 98 15 Ο€βˆ’1(sβˆ’1(f𝑆 Ο€βˆ’1(sβˆ’1(f𝑆 PROPN cana-1918 98 16 οΏ½ οΏ½ PROPN cana-1918 98 17 Μƒ Μƒ PROPN cana-1918 98 18 οΏ½ οΏ½ PROPN cana-1918 98 19 ) ) PUNCT cana-1918 98 20 ) ) PUNCT cana-1918 99 1 5 5 NUM cana-1918 99 2 . . X cana-1918 99 3 homomorphic homomorphic ADJ cana-1918 99 4 decoding decoding NOUN cana-1918 99 5 : : PUNCT cana-1918 99 6 decrypt decrypt VERB cana-1918 99 7 and and CCONJ cana-1918 99 8 decode decode VERB cana-1918 99 9 the the DET cana-1918 99 10 modular modular ADJ cana-1918 99 11 base base NOUN cana-1918 99 12 sequence sequence NOUN cana-1918 99 13 to to PART cana-1918 99 14 retrieve retrieve VERB cana-1918 99 15 the the DET cana-1918 99 16 original original ADJ cana-1918 99 17 secret secret NOUN cana-1918 99 18 : : PUNCT cana-1918 99 19 𝑠 𝑠 PROPN cana-1918 99 20 = = PUNCT cana-1918 99 21 βˆ‘ βˆ‘ PUNCT cana-1918 99 22 𝑠𝐡[i 𝑠𝐡[i X cana-1918 99 23 ] ] X cana-1918 99 24 . . PUNCT cana-1918 100 1 π΅βˆ’π‘– π΅βˆ’π‘– PROPN cana-1918 100 2 π‘›βˆ’1 π‘›βˆ’1 PROPN cana-1918 100 3 𝑖=0 𝑖=0 PROPN cana-1918 100 4 π‘šπ‘œπ‘‘π‘ƒβˆ’1 π‘šπ‘œπ‘‘π‘ƒβˆ’1 NOUN cana-1918 100 5 table table NOUN cana-1918 100 6 3 3 NUM cana-1918 100 7 : : PUNCT cana-1918 100 8 summary summary NOUN cana-1918 100 9 of of ADP cana-1918 100 10 embedding embed VERB cana-1918 100 11 and and CCONJ cana-1918 100 12 extraction extraction NOUN cana-1918 100 13 processes process NOUN cana-1918 100 14 process process NOUN cana-1918 100 15 step step NOUN cana-1918 100 16 operation operation NOUN cana-1918 100 17 output output NOUN cana-1918 100 18 encoding encoding NOUN cana-1918 100 19 & & CCONJ cana-1918 100 20 encryption encryption NOUN cana-1918 100 21 modular modular NOUN cana-1918 100 22 arithmetic arithmetic ADJ cana-1918 100 23 + + CCONJ cana-1918 100 24 homomorphic homomorphic ADJ cana-1918 100 25 encryption encryption NOUN cana-1918 100 26 encrypted encrypt VERB cana-1918 100 27 encoded encode VERB cana-1918 100 28 message message NOUN cana-1918 100 29 permutation permutation NOUN cana-1918 100 30 elliptic elliptic ADJ cana-1918 100 31 curve curve NOUN cana-1918 100 32 prp prp PROPN cana-1918 100 33 permuted permute VERB cana-1918 100 34 encrypted encrypt VERB cana-1918 100 35 sequence sequence NOUN cana-1918 100 36 substitution substitution NOUN cana-1918 100 37 lattice lattice NOUN cana-1918 100 38 - - PUNCT cana-1918 100 39 based base VERB cana-1918 100 40 s s PROPN cana-1918 100 41 - - PUNCT cana-1918 100 42 box box NOUN cana-1918 100 43 substituted substitute VERB cana-1918 100 44 encrypted encrypt VERB cana-1918 100 45 sequence sequence NOUN cana-1918 100 46 hash hash NOUN cana-1918 100 47 mapping map VERB cana-1918 100 48 post post ADJ cana-1918 100 49 - - ADJ cana-1918 100 50 quantum quantum ADJ cana-1918 100 51 hash hash NOUN cana-1918 100 52 function function NOUN cana-1918 100 53 mapped map VERB cana-1918 100 54 files file NOUN cana-1918 100 55 in in ADP cana-1918 100 56 cloud cloud NOUN cana-1918 100 57 storage storage NOUN cana-1918 100 58 decoding decoding NOUN cana-1918 100 59 & & CCONJ cana-1918 100 60 decryption decryption NOUN cana-1918 100 61 ( ( PUNCT cana-1918 100 62 reverse reverse VERB cana-1918 100 63 ) ) PUNCT cana-1918 100 64 inverse inverse NOUN cana-1918 100 65 operations operation NOUN cana-1918 100 66 of of ADP cana-1918 100 67 above above ADV cana-1918 100 68 retrieved retrieve VERB cana-1918 100 69 secret secret ADJ cana-1918 100 70 message message NOUN cana-1918 100 71 5 5 NUM cana-1918 100 72 . . PUNCT cana-1918 101 1 performance performance NOUN cana-1918 101 2 analysis analysis NOUN cana-1918 101 3 we we PRON cana-1918 101 4 implemented implement VERB cana-1918 101 5 the the DET cana-1918 101 6 system system NOUN cana-1918 101 7 in in ADP cana-1918 101 8 a a DET cana-1918 101 9 controlled control VERB cana-1918 101 10 environment environment NOUN cana-1918 101 11 to to PART cana-1918 101 12 validate validate VERB cana-1918 101 13 the the DET cana-1918 101 14 proposed propose VERB cana-1918 101 15 mechanism mechanism NOUN cana-1918 101 16 using use VERB cana-1918 101 17 various various ADJ cana-1918 101 18 data datum NOUN cana-1918 101 19 types type NOUN cana-1918 101 20 , , PUNCT cana-1918 101 21 including include VERB cana-1918 101 22 text text NOUN cana-1918 101 23 , , PUNCT cana-1918 101 24 images image NOUN cana-1918 101 25 , , PUNCT cana-1918 101 26 and and CCONJ cana-1918 101 27 binary binary ADJ cana-1918 101 28 files file NOUN cana-1918 101 29 . . PUNCT cana-1918 102 1 the the DET cana-1918 102 2 validation validation NOUN cana-1918 102 3 process process NOUN cana-1918 102 4 focused focus VERB cana-1918 102 5 on on ADP cana-1918 102 6 testing test VERB cana-1918 102 7 security security NOUN cana-1918 102 8 against against ADP cana-1918 102 9 quantum quantum ADJ cana-1918 102 10 and and CCONJ cana-1918 102 11 classical classical ADJ cana-1918 102 12 attacks attack NOUN cana-1918 102 13 , , PUNCT cana-1918 102 14 efficiency efficiency NOUN cana-1918 102 15 , , PUNCT cana-1918 102 16 and and CCONJ cana-1918 102 17 robustness robustness NOUN cana-1918 102 18 . . PUNCT cana-1918 103 1 validation validation NOUN cana-1918 103 2 metrics metric NOUN cana-1918 103 3 β€’ β€’ NOUN cana-1918 103 4 data datum NOUN cana-1918 103 5 integrity integrity NOUN cana-1918 103 6 : : PUNCT cana-1918 103 7 ensured ensure VERB cana-1918 103 8 that that SCONJ cana-1918 103 9 the the DET cana-1918 103 10 retrieved retrieve VERB cana-1918 103 11 data datum NOUN cana-1918 103 12 perfectly perfectly ADV cana-1918 103 13 matched match VERB cana-1918 103 14 the the DET cana-1918 103 15 original original ADJ cana-1918 103 16 data datum NOUN cana-1918 103 17 , , PUNCT cana-1918 103 18 with with ADP cana-1918 103 19 no no DET cana-1918 103 20 losses loss NOUN cana-1918 103 21 or or CCONJ cana-1918 103 22 corruption.[9 corruption.[9 NUM cana-1918 103 23 ] ] SYM cana-1918 103 24 β€’ β€’ NUM cana-1918 103 25 security security NOUN cana-1918 103 26 testing testing NOUN cana-1918 103 27 : : PUNCT cana-1918 103 28 conducted conduct VERB cana-1918 103 29 penetration penetration NOUN cana-1918 103 30 testing testing NOUN cana-1918 103 31 , , PUNCT cana-1918 103 32 including include VERB cana-1918 103 33 quantum quantum NOUN cana-1918 103 34 - - PUNCT cana-1918 103 35 based base VERB cana-1918 103 36 attacks attack NOUN cana-1918 103 37 , , PUNCT cana-1918 103 38 to to PART cana-1918 103 39 evaluate evaluate VERB cana-1918 103 40 the the DET cana-1918 103 41 robustness robustness NOUN cana-1918 103 42 of of ADP cana-1918 103 43 the the DET cana-1918 103 44 mechanism mechanism NOUN cana-1918 103 45 . . PUNCT cana-1918 104 1 β€’ β€’ NOUN cana-1918 104 2 performance performance NOUN cana-1918 104 3 metrics metric NOUN cana-1918 104 4 : : PUNCT cana-1918 104 5 measured measure VERB cana-1918 104 6 the the DET cana-1918 104 7 time time NOUN cana-1918 104 8 complexity complexity NOUN cana-1918 104 9 and and CCONJ cana-1918 104 10 resource resource NOUN cana-1918 104 11 utilization utilization NOUN cana-1918 104 12 during during ADP cana-1918 104 13 the the DET cana-1918 104 14 embedding embed VERB cana-1918 104 15 and and CCONJ cana-1918 104 16 retrieval retrieval NOUN cana-1918 104 17 processes process NOUN cana-1918 104 18 in in ADP cana-1918 104 19 a a DET cana-1918 104 20 quantum quantum ADJ cana-1918 104 21 - - ADJ cana-1918 104 22 safe safe ADJ cana-1918 104 23 environment environment NOUN cana-1918 104 24 . . PUNCT cana-1918 105 1 performance performance NOUN cana-1918 105 2 analysis analysis NOUN cana-1918 105 3 environment environment NOUN cana-1918 105 4 the the DET cana-1918 105 5 experiment experiment NOUN cana-1918 105 6 conducted conduct VERB cana-1918 105 7 within within ADP cana-1918 105 8 a a DET cana-1918 105 9 single single ADJ cana-1918 105 10 cloud cloud NOUN cana-1918 105 11 storage storage NOUN cana-1918 105 12 environment environment NOUN cana-1918 105 13 to to PART cana-1918 105 14 evaluate evaluate VERB cana-1918 105 15 the the DET cana-1918 105 16 performance performance NOUN cana-1918 105 17 of of ADP cana-1918 105 18 proposed propose VERB cana-1918 105 19 steganographic steganographic ADJ cana-1918 105 20 schemes scheme NOUN cana-1918 105 21 communications communication NOUN cana-1918 105 22 on on ADP cana-1918 105 23 applied apply VERB cana-1918 105 24 nonlinear nonlinear ADJ cana-1918 105 25 analysis analysis NOUN cana-1918 105 26 issn issn NOUN cana-1918 105 27 : : PUNCT cana-1918 105 28 1074 1074 NUM cana-1918 105 29 - - PUNCT cana-1918 105 30 133x 133x NUM cana-1918 105 31 vol vol NOUN cana-1918 105 32 32 32 NUM cana-1918 105 33 no no NOUN cana-1918 105 34 . . NOUN cana-1918 105 35 2 2 NUM cana-1918 105 36 ( ( PUNCT cana-1918 105 37 2025 2025 NUM cana-1918 105 38 ) ) PUNCT cana-1918 105 39 739 739 NUM cana-1918 105 40 https://internationalpubls.com https://internationalpubls.com X cana-1918 105 41 performance performance NOUN cana-1918 105 42 metrics metric NOUN cana-1918 105 43 β€’ β€’ NOUN cana-1918 105 44 execution execution NOUN cana-1918 105 45 time time NOUN cana-1918 105 46 : : PUNCT cana-1918 105 47 the the DET cana-1918 105 48 time time NOUN cana-1918 105 49 taken take VERB cana-1918 105 50 to to PART cana-1918 105 51 complete complete VERB cana-1918 105 52 the the DET cana-1918 105 53 embedding embed VERB cana-1918 105 54 and and CCONJ cana-1918 105 55 retrieval retrieval NOUN cana-1918 105 56 processes process NOUN cana-1918 105 57 was be AUX cana-1918 105 58 measured measure VERB cana-1918 105 59 to to PART cana-1918 105 60 evaluate evaluate VERB cana-1918 105 61 the the DET cana-1918 105 62 efficiency efficiency NOUN cana-1918 105 63 of of ADP cana-1918 105 64 the the DET cana-1918 105 65 system system NOUN cana-1918 105 66 . . PUNCT cana-1918 106 1 β€’ β€’ NUM cana-1918 106 2 resource resource NOUN cana-1918 106 3 utilization utilization NOUN cana-1918 106 4 : : PUNCT cana-1918 106 5 monitored monitor VERB cana-1918 106 6 cpu cpu NOUN cana-1918 106 7 , , PUNCT cana-1918 106 8 memory memory NOUN cana-1918 106 9 usage usage NOUN cana-1918 106 10 , , PUNCT cana-1918 106 11 and and CCONJ cana-1918 106 12 network network NOUN cana-1918 106 13 bandwidth bandwidth NOUN cana-1918 106 14 during during ADP cana-1918 106 15 the the DET cana-1918 106 16 process process NOUN cana-1918 106 17 to to PART cana-1918 106 18 assess assess VERB cana-1918 106 19 the the DET cana-1918 106 20 impact impact NOUN cana-1918 106 21 on on ADP cana-1918 106 22 system system NOUN cana-1918 106 23 performance performance NOUN cana-1918 106 24 . . PUNCT cana-1918 107 1 β€’ β€’ NUM cana-1918 107 2 scalability scalability NOUN cana-1918 107 3 : : PUNCT cana-1918 107 4 tested test VERB cana-1918 107 5 the the DET cana-1918 107 6 system system NOUN cana-1918 107 7 's 's PART cana-1918 107 8 ability ability NOUN cana-1918 107 9 to to PART cana-1918 107 10 handle handle VERB cana-1918 107 11 increasing increase VERB cana-1918 107 12 data datum NOUN cana-1918 107 13 sizes size NOUN cana-1918 107 14 and and CCONJ cana-1918 107 15 complexity complexity NOUN cana-1918 107 16 , , PUNCT cana-1918 107 17 ensuring ensure VERB cana-1918 107 18 it it PRON cana-1918 107 19 can can AUX cana-1918 107 20 scale scale VERB cana-1918 107 21 effectively effectively ADV cana-1918 107 22 . . PUNCT cana-1918 108 1 table table NOUN cana-1918 108 2 4 4 NUM cana-1918 108 3 : : PUNCT cana-1918 108 4 performance performance NOUN cana-1918 108 5 metrics metric NOUN cana-1918 108 6 metric metric ADJ cana-1918 108 7 measurement measurement NOUN cana-1918 108 8 result result NOUN cana-1918 108 9 execution execution NOUN cana-1918 108 10 time time NOUN cana-1918 108 11 time time NOUN cana-1918 108 12 to to PART cana-1918 108 13 embed embed VERB cana-1918 108 14 / / SYM cana-1918 108 15 retrieve retrieve NOUN cana-1918 108 16 data datum NOUN cana-1918 108 17 optimal optimal ADJ cana-1918 108 18 for for ADP cana-1918 108 19 large large ADJ cana-1918 108 20 datasets dataset NOUN cana-1918 108 21 resource resource NOUN cana-1918 108 22 utilization utilization NOUN cana-1918 108 23 cpu cpu NOUN cana-1918 108 24 , , PUNCT cana-1918 108 25 memory memory NOUN cana-1918 108 26 , , PUNCT cana-1918 108 27 and and CCONJ cana-1918 108 28 bandwidth bandwidth ADJ cana-1918 108 29 usage usage NOUN cana-1918 108 30 efficient efficient ADJ cana-1918 108 31 usage usage NOUN cana-1918 108 32 scalability scalability NOUN cana-1918 108 33 handling handle VERB cana-1918 108 34 increasing increase VERB cana-1918 108 35 data datum NOUN cana-1918 108 36 size size NOUN cana-1918 108 37 / / SYM cana-1918 108 38 complexity complexity NOUN cana-1918 108 39 scaled scale VERB cana-1918 108 40 effectively effectively ADV cana-1918 108 41 security security NOUN cana-1918 108 42 features feature VERB cana-1918 108 43 1 1 NUM cana-1918 108 44 . . X cana-1918 108 45 brute brute ADJ cana-1918 108 46 - - PUNCT cana-1918 108 47 force force NOUN cana-1918 108 48 resistance resistance NOUN cana-1918 108 49 : : PUNCT cana-1918 108 50 using use VERB cana-1918 108 51 large large ADJ cana-1918 108 52 prime prime ADJ cana-1918 108 53 numbers number NOUN cana-1918 108 54 ppp ppp NOUN cana-1918 108 55 , , PUNCT cana-1918 108 56 complex complex ADJ cana-1918 108 57 permutation permutation NOUN cana-1918 108 58 keys key VERB cana-1918 108 59 kp kp PROPN cana-1918 108 60 , , PUNCT cana-1918 108 61 and and CCONJ cana-1918 108 62 non non ADJ cana-1918 108 63 - - ADJ cana-1918 108 64 linear linear ADJ cana-1918 108 65 s s NOUN cana-1918 108 66 - - PUNCT cana-1918 108 67 boxes box NOUN cana-1918 108 68 s s PART cana-1918 108 69 ensures ensure NOUN cana-1918 108 70 that that SCONJ cana-1918 108 71 brute brute ADJ cana-1918 108 72 - - PUNCT cana-1918 108 73 force force NOUN cana-1918 108 74 attacks attack NOUN cana-1918 108 75 are be AUX cana-1918 108 76 computationally computationally ADV cana-1918 108 77 infeasible infeasible ADJ cana-1918 108 78 . . PUNCT cana-1918 109 1 given give VERB cana-1918 109 2 a a DET cana-1918 109 3 key key ADJ cana-1918 109 4 space space NOUN cana-1918 109 5 of of ADP cana-1918 109 6 size size NOUN cana-1918 109 7 2𝑛 2𝑛 PROPN cana-1918 109 8 , , PUNCT cana-1918 109 9 where where SCONJ cana-1918 109 10 n n X cana-1918 109 11 is be AUX cana-1918 109 12 the the DET cana-1918 109 13 key key ADJ cana-1918 109 14 length length NOUN cana-1918 109 15 in in ADP cana-1918 109 16 bits bit NOUN cana-1918 109 17 , , PUNCT cana-1918 109 18 a a DET cana-1918 109 19 brute brute ADJ cana-1918 109 20 - - PUNCT cana-1918 109 21 force force NOUN cana-1918 109 22 attack attack NOUN cana-1918 109 23 requires require VERB cana-1918 109 24 an an DET cana-1918 109 25 average average ADJ cana-1918 109 26 2π‘›βˆ’1operations 2π‘›βˆ’1operation NOUN cana-1918 109 27 , , PUNCT cana-1918 109 28 making make VERB cana-1918 109 29 it it PRON cana-1918 109 30 infeasible infeasible ADJ cana-1918 109 31 even even ADV cana-1918 109 32 with with ADP cana-1918 109 33 quantum quantum ADJ cana-1918 109 34 computing computing NOUN cana-1918 109 35 power power NOUN cana-1918 109 36 . . PUNCT cana-1918 110 1 2 2 X cana-1918 110 2 . . X cana-1918 110 3 resistance resistance NOUN cana-1918 110 4 to to PART cana-1918 110 5 differential differential VERB cana-1918 110 6 cryptanalysis cryptanalysis NOUN cana-1918 110 7 : : PUNCT cana-1918 110 8 the the DET cana-1918 110 9 non non ADJ cana-1918 110 10 - - ADJ cana-1918 110 11 linear linear ADJ cana-1918 110 12 transformations transformation NOUN cana-1918 110 13 applied apply VERB cana-1918 110 14 during during ADP cana-1918 110 15 the the DET cana-1918 110 16 permutation permutation NOUN cana-1918 110 17 and and CCONJ cana-1918 110 18 substitution substitution NOUN cana-1918 110 19 stages stage NOUN cana-1918 110 20 significantly significantly ADV cana-1918 110 21 increase increase VERB cana-1918 110 22 the the DET cana-1918 110 23 entropy entropy NOUN cana-1918 110 24 of of ADP cana-1918 110 25 the the DET cana-1918 110 26 data datum NOUN cana-1918 110 27 , , PUNCT cana-1918 110 28 making make VERB cana-1918 110 29 it it PRON cana-1918 110 30 resistant resistant ADJ cana-1918 110 31 to to PART cana-1918 110 32 differential differential VERB cana-1918 110 33 cryptanalysis cryptanalysis NOUN cana-1918 110 34 . . PUNCT cana-1918 111 1 the the DET cana-1918 111 2 probability probability NOUN cana-1918 111 3 pd pd PROPN cana-1918 111 4 of of ADP cana-1918 111 5 a a DET cana-1918 111 6 differential differential ADJ cana-1918 111 7 cryptanalysis cryptanalysis NOUN cana-1918 111 8 attack attack NOUN cana-1918 111 9 succeeding succeed VERB cana-1918 111 10 can can AUX cana-1918 111 11 be be AUX cana-1918 111 12 minimized minimize VERB cana-1918 111 13 using use VERB cana-1918 111 14 non non ADJ cana-1918 111 15 - - ADJ cana-1918 111 16 linear linear ADJ cana-1918 111 17 operations operation NOUN cana-1918 111 18 where where SCONJ cana-1918 111 19 : : PUNCT cana-1918 111 20 𝑃𝐷 𝑃𝐷 PROPN cana-1918 111 21 = = SYM cana-1918 111 22 ∏ ∏ PROPN cana-1918 111 23 π‘šπ‘Žπ‘₯δ𝑖 π‘šπ‘Žπ‘₯δ𝑖 NOUN cana-1918 111 24 π‘Ÿ π‘Ÿ X cana-1918 111 25 𝑖=1 𝑖=1 PROPN cana-1918 111 26 where where SCONJ cana-1918 111 27 δ𝑖represents δ𝑖represent VERB cana-1918 111 28 the the DET cana-1918 111 29 differential differential ADJ cana-1918 111 30 probabilities probability NOUN cana-1918 111 31 at at ADP cana-1918 111 32 each each DET cana-1918 111 33 round round NOUN cana-1918 111 34 r r NOUN cana-1918 111 35 of of ADP cana-1918 111 36 the the DET cana-1918 111 37 encryption encryption NOUN cana-1918 111 38 process process NOUN cana-1918 111 39 . . PUNCT cana-1918 112 1 the the DET cana-1918 112 2 use use NOUN cana-1918 112 3 of of ADP cana-1918 112 4 non non ADJ cana-1918 112 5 - - ADJ cana-1918 112 6 linear linear ADJ cana-1918 112 7 s s NOUN cana-1918 112 8 - - PUNCT cana-1918 112 9 boxes box NOUN cana-1918 112 10 reduces reduce VERB cana-1918 112 11 π‘šπ‘Žπ‘₯δ𝑖 π‘šπ‘Žπ‘₯δ𝑖 NOUN cana-1918 112 12 , , PUNCT cana-1918 112 13 making make VERB cana-1918 112 14 𝑃𝐷 𝑃𝐷 PROPN cana-1918 112 15 close close ADJ cana-1918 112 16 to to ADP cana-1918 112 17 zero zero NUM cana-1918 112 18 . . PUNCT cana-1918 113 1 3 3 X cana-1918 113 2 . . X cana-1918 113 3 steganalysis steganalysis NOUN cana-1918 113 4 resistance resistance NOUN cana-1918 113 5 : : PUNCT cana-1918 113 6 the the DET cana-1918 113 7 hash hash NOUN cana-1918 113 8 - - PUNCT cana-1918 113 9 based base VERB cana-1918 113 10 file file NOUN cana-1918 113 11 mapping mapping NOUN cana-1918 113 12 ensures ensure VERB cana-1918 113 13 that that SCONJ cana-1918 113 14 the the DET cana-1918 113 15 statistical statistical ADJ cana-1918 113 16 distribution distribution NOUN cana-1918 113 17 of of ADP cana-1918 113 18 the the DET cana-1918 113 19 embedded embed VERB cana-1918 113 20 data datum NOUN cana-1918 113 21 closely closely ADV cana-1918 113 22 resembles resemble VERB cana-1918 113 23 that that PRON cana-1918 113 24 of of ADP cana-1918 113 25 normal normal ADJ cana-1918 113 26 data datum NOUN cana-1918 113 27 , , PUNCT cana-1918 113 28 making make VERB cana-1918 113 29 it it PRON cana-1918 113 30 indistinguishable indistinguishable ADJ cana-1918 113 31 from from ADP cana-1918 113 32 steganalysis steganalysis NOUN cana-1918 113 33 tools tool NOUN cana-1918 113 34 . . PUNCT cana-1918 114 1 let let VERB cana-1918 114 2 h(x h(x PROPN cana-1918 114 3 ) ) PUNCT cana-1918 114 4 be be AUX cana-1918 114 5 the the DET cana-1918 114 6 post post ADJ cana-1918 114 7 - - ADJ cana-1918 114 8 quantum quantum ADJ cana-1918 114 9 hash hash NOUN cana-1918 114 10 function function NOUN cana-1918 114 11 ( ( PUNCT cana-1918 114 12 e.g. e.g. ADV cana-1918 114 13 , , PUNCT cana-1918 114 14 shake256 shake256 PROPN cana-1918 114 15 ) ) PUNCT cana-1918 114 16 , , PUNCT cana-1918 114 17 where where SCONJ cana-1918 114 18 the the DET cana-1918 114 19 probability probability NOUN cana-1918 114 20 of of ADP cana-1918 114 21 collision collision NOUN cana-1918 114 22 𝑃𝐢 𝑃𝐢 PROPN cana-1918 114 23 is be AUX cana-1918 114 24 defined define VERB cana-1918 114 25 by by ADP cana-1918 114 26 : : PUNCT cana-1918 114 27 𝑃𝐢 𝑃𝐢 PROPN cana-1918 114 28 = = SYM cana-1918 114 29 1 1 NUM cana-1918 114 30 22π‘š 22π‘š NOUN cana-1918 114 31 where where SCONJ cana-1918 114 32 m m PROPN cana-1918 114 33 is be AUX cana-1918 114 34 the the DET cana-1918 114 35 output output NOUN cana-1918 114 36 length length NOUN cana-1918 114 37 in in ADP cana-1918 114 38 bits bit NOUN cana-1918 114 39 of of ADP cana-1918 114 40 the the DET cana-1918 114 41 hash hash NOUN cana-1918 114 42 function function NOUN cana-1918 114 43 , , PUNCT cana-1918 114 44 this this DET cana-1918 114 45 low low ADJ cana-1918 114 46 collision collision NOUN cana-1918 114 47 probability probability NOUN cana-1918 114 48 ensures ensure VERB cana-1918 114 49 that that SCONJ cana-1918 114 50 the the DET cana-1918 114 51 mapping mapping NOUN cana-1918 114 52 is be AUX cana-1918 114 53 unique unique ADJ cana-1918 114 54 and and CCONJ cana-1918 114 55 resistant resistant ADJ cana-1918 114 56 to to ADP cana-1918 114 57 attacks attack NOUN cana-1918 114 58 . . PUNCT cana-1918 115 1 attack attack NOUN cana-1918 115 2 prevention prevention NOUN cana-1918 115 3 mechanisms mechanism NOUN cana-1918 115 4 β€’ β€’ ADP cana-1918 115 5 cryptographic cryptographic ADJ cana-1918 115 6 hashing hashing NOUN cana-1918 115 7 the the DET cana-1918 115 8 system system NOUN cana-1918 115 9 uses use VERB cana-1918 115 10 a a DET cana-1918 115 11 post post ADJ cana-1918 115 12 - - ADJ cana-1918 115 13 quantum quantum ADJ cana-1918 115 14 hash hash NOUN cana-1918 115 15 function function NOUN cana-1918 115 16 h h NOUN cana-1918 115 17 to to PART cana-1918 115 18 ensure ensure VERB cana-1918 115 19 that that SCONJ cana-1918 115 20 data datum NOUN cana-1918 115 21 mapping mapping NOUN cana-1918 115 22 within within ADP cana-1918 115 23 the the DET cana-1918 115 24 cloud cloud NOUN cana-1918 115 25 storage storage NOUN cana-1918 115 26 is be AUX cana-1918 115 27 secure secure ADJ cana-1918 115 28 and and CCONJ cana-1918 115 29 collision collision NOUN cana-1918 115 30 - - PUNCT cana-1918 115 31 resistant resistant ADJ cana-1918 115 32 . . PUNCT cana-1918 116 1 given give VERB cana-1918 116 2 an an DET cana-1918 116 3 input input NOUN cana-1918 116 4 x x X cana-1918 116 5 and and CCONJ cana-1918 116 6 a a DET cana-1918 116 7 secure secure ADJ cana-1918 116 8 hash hash NOUN cana-1918 116 9 function function NOUN cana-1918 116 10 h h NOUN cana-1918 116 11 , , PUNCT cana-1918 116 12 the the DET cana-1918 116 13 output output NOUN cana-1918 116 14 is be AUX cana-1918 116 15 : : PUNCT cana-1918 116 16 𝐻(π‘₯ 𝐻(π‘₯ NUM cana-1918 116 17 ) ) PUNCT cana-1918 116 18 = = SYM cana-1918 116 19 𝑦 𝑦 NOUN cana-1918 116 20 the the DET cana-1918 116 21 hash hash NOUN cana-1918 116 22 function function NOUN cana-1918 116 23 is be AUX cana-1918 116 24 resistant resistant ADJ cana-1918 116 25 to to ADP cana-1918 116 26 pre pre ADJ cana-1918 116 27 - - ADJ cana-1918 116 28 image image ADJ cana-1918 116 29 attacks attack NOUN cana-1918 116 30 ( ( PUNCT cana-1918 116 31 finding find VERB cana-1918 116 32 x x PUNCT cana-1918 116 33 given give VERB cana-1918 116 34 y y PROPN cana-1918 116 35 ) ) PUNCT cana-1918 116 36 , , PUNCT cana-1918 116 37 second second ADJ cana-1918 116 38 pre pre ADJ cana-1918 116 39 - - ADJ cana-1918 116 40 image image ADJ cana-1918 116 41 attacks attack NOUN cana-1918 116 42 ( ( PUNCT cana-1918 116 43 finding find VERB cana-1918 116 44 another another DET cana-1918 116 45 input input NOUN cana-1918 116 46 xβ€² xβ€² PROPN cana-1918 116 47 such such ADJ cana-1918 116 48 that that PRON cana-1918 116 49 𝐻(π‘₯β€² 𝐻(π‘₯β€² VERB cana-1918 116 50 ) ) PUNCT cana-1918 116 51 = = SYM cana-1918 116 52 𝐻(π‘₯ 𝐻(π‘₯ NUM cana-1918 116 53 ) ) PUNCT cana-1918 116 54 , , PUNCT cana-1918 116 55 and and CCONJ cana-1918 116 56 collision collision NOUN cana-1918 116 57 attacks attack NOUN cana-1918 116 58 ( ( PUNCT cana-1918 116 59 finding find VERB cana-1918 116 60 two two NUM cana-1918 116 61 different different ADJ cana-1918 116 62 inputs input NOUN cana-1918 116 63 communications communication NOUN cana-1918 116 64 on on ADP cana-1918 116 65 applied apply VERB cana-1918 116 66 nonlinear nonlinear ADJ cana-1918 116 67 analysis analysis NOUN cana-1918 116 68 issn issn NOUN cana-1918 116 69 : : PUNCT cana-1918 116 70 1074 1074 NUM cana-1918 116 71 - - PUNCT cana-1918 116 72 133x 133x NUM cana-1918 116 73 vol vol NOUN cana-1918 116 74 32 32 NUM cana-1918 116 75 no no NOUN cana-1918 116 76 . . NOUN cana-1918 116 77 2 2 NUM cana-1918 116 78 ( ( PUNCT cana-1918 116 79 2025 2025 NUM cana-1918 116 80 ) ) PUNCT cana-1918 116 81 740 740 NUM cana-1918 116 82 https://internationalpubls.com https://internationalpubls.com X cana-1918 116 83 π‘₯1 π‘₯1 NOUN cana-1918 116 84 and and CCONJ cana-1918 116 85 π‘₯2 π‘₯2 NOUN cana-1918 116 86 such such ADJ cana-1918 116 87 that that PRON cana-1918 116 88 h(π‘₯1 h(π‘₯1 NOUN cana-1918 116 89 ) ) PUNCT cana-1918 116 90 = = SYM cana-1918 116 91 h(π‘₯2 h(π‘₯2 NOUN cana-1918 116 92 ) ) PUNCT cana-1918 116 93 . . PUNCT cana-1918 117 1 the the DET cana-1918 117 2 collision collision NOUN cana-1918 117 3 resistance resistance NOUN cana-1918 117 4 is be AUX cana-1918 117 5 significant significant ADJ cana-1918 117 6 in in ADP cana-1918 117 7 steganography steganography NOUN cana-1918 117 8 , , PUNCT cana-1918 117 9 as as SCONJ cana-1918 117 10 it it PRON cana-1918 117 11 ensures ensure VERB cana-1918 117 12 that that SCONJ cana-1918 117 13 each each DET cana-1918 117 14 piece piece NOUN cana-1918 117 15 of of ADP cana-1918 117 16 data datum NOUN cana-1918 117 17 maps map NOUN cana-1918 117 18 uniquely uniquely ADV cana-1918 117 19 to to ADP cana-1918 117 20 a a DET cana-1918 117 21 file file NOUN cana-1918 117 22 in in ADP cana-1918 117 23 the the DET cana-1918 117 24 cloud cloud NOUN cana-1918 117 25 , , PUNCT cana-1918 117 26 preventing prevent VERB cana-1918 117 27 unauthorized unauthorized ADJ cana-1918 117 28 access access NOUN cana-1918 117 29 or or CCONJ cana-1918 117 30 manipulation manipulation NOUN cana-1918 117 31 . . PUNCT cana-1918 118 1 β€’ β€’ NUM cana-1918 118 2 quantum quantum NOUN cana-1918 118 3 - - PUNCT cana-1918 118 4 resistant resistant ADJ cana-1918 118 5 key key ADJ cana-1918 118 6 management management NOUN cana-1918 118 7 the the DET cana-1918 118 8 quantum quantum NOUN cana-1918 118 9 - - PUNCT cana-1918 118 10 resistant resistant ADJ cana-1918 118 11 key key ADJ cana-1918 118 12 management management NOUN cana-1918 118 13 system system NOUN cana-1918 118 14 ensures ensure VERB cana-1918 118 15 that that SCONJ cana-1918 118 16 cryptographic cryptographic ADJ cana-1918 118 17 keys key NOUN cana-1918 118 18 are be AUX cana-1918 118 19 securely securely ADV cana-1918 118 20 stored store VERB cana-1918 118 21 , , PUNCT cana-1918 118 22 distributed distribute VERB cana-1918 118 23 , , PUNCT cana-1918 118 24 and and CCONJ cana-1918 118 25 rotated rotate VERB cana-1918 118 26 . . PUNCT cana-1918 119 1 the the DET cana-1918 119 2 key key ADJ cana-1918 119 3 exchange exchange NOUN cana-1918 119 4 is be AUX cana-1918 119 5 based base VERB cana-1918 119 6 on on ADP cana-1918 119 7 quantum quantum NOUN cana-1918 119 8 - - PUNCT cana-1918 119 9 resistant resistant ADJ cana-1918 119 10 algorithms algorithm NOUN cana-1918 119 11 like like ADP cana-1918 119 12 newhope newhope NOUN cana-1918 119 13 or or CCONJ cana-1918 119 14 lattice lattice NOUN cana-1918 119 15 - - PUNCT cana-1918 119 16 based base VERB cana-1918 119 17 cryptography cryptography NOUN cana-1918 119 18 , , PUNCT cana-1918 119 19 ensuring ensure VERB cana-1918 119 20 that that SCONJ cana-1918 119 21 even even ADV cana-1918 119 22 quantum quantum ADJ cana-1918 119 23 computers computer NOUN cana-1918 119 24 can can AUX cana-1918 119 25 not not PART cana-1918 119 26 break break VERB cana-1918 119 27 the the DET cana-1918 119 28 key key ADJ cana-1918 119 29 exchange exchange NOUN cana-1918 119 30 process process NOUN cana-1918 119 31 . . PUNCT cana-1918 120 1 the the DET cana-1918 120 2 security security NOUN cana-1918 120 3 of of ADP cana-1918 120 4 key key ADJ cana-1918 120 5 management management NOUN cana-1918 120 6 is be AUX cana-1918 120 7 derived derive VERB cana-1918 120 8 from from ADP cana-1918 120 9 the the DET cana-1918 120 10 difficulty difficulty NOUN cana-1918 120 11 of of ADP cana-1918 120 12 solving solve VERB cana-1918 120 13 lattice lattice NOUN cana-1918 120 14 - - PUNCT cana-1918 120 15 based base VERB cana-1918 120 16 problems problem NOUN cana-1918 120 17 , , PUNCT cana-1918 120 18 such such ADJ cana-1918 120 19 as as ADP cana-1918 120 20 the the DET cana-1918 120 21 learning learning NOUN cana-1918 120 22 with with ADP cana-1918 120 23 errors error NOUN cana-1918 120 24 ( ( PUNCT cana-1918 120 25 lwe lwe PROPN cana-1918 120 26 ) ) PUNCT cana-1918 120 27 problem problem NOUN cana-1918 120 28 , , PUNCT cana-1918 120 29 where where SCONJ cana-1918 120 30 the the DET cana-1918 120 31 goal goal NOUN cana-1918 120 32 is be AUX cana-1918 120 33 to to PART cana-1918 120 34 find find VERB cana-1918 120 35 a a DET cana-1918 120 36 vector vector NOUN cana-1918 120 37 𝑠 𝑠 INTJ cana-1918 120 38 given give VERB cana-1918 120 39 a a DET cana-1918 120 40 set set NOUN cana-1918 120 41 of of ADP cana-1918 120 42 equations equation NOUN cana-1918 120 43 : : PUNCT cana-1918 120 44 𝐴 𝐴 PROPN cana-1918 120 45 β‹… β‹… PROPN cana-1918 120 46 𝑠 𝑠 PROPN cana-1918 120 47 + + NUM cana-1918 120 48 𝑒 𝑒 PROPN cana-1918 120 49 = = SYM cana-1918 120 50 𝑏 𝑏 PROPN cana-1918 120 51 here here ADV cana-1918 120 52 , , PUNCT cana-1918 120 53 𝐴 𝐴 PROPN cana-1918 120 54 is be AUX cana-1918 120 55 a a DET cana-1918 120 56 known know VERB cana-1918 120 57 matrix matrix NOUN cana-1918 120 58 , , PUNCT cana-1918 120 59 𝑏 𝑏 PROPN cana-1918 120 60 is be AUX cana-1918 120 61 a a DET cana-1918 120 62 known know VERB cana-1918 120 63 vector vector NOUN cana-1918 120 64 , , PUNCT cana-1918 120 65 𝑒 𝑒 PROPN cana-1918 120 66 is be AUX cana-1918 120 67 a a DET cana-1918 120 68 small small ADJ cana-1918 120 69 error error NOUN cana-1918 120 70 vector vector NOUN cana-1918 120 71 , , PUNCT cana-1918 120 72 and and CCONJ cana-1918 120 73 𝑠 𝑠 PROPN cana-1918 120 74 is be AUX cana-1918 120 75 the the DET cana-1918 120 76 secret secret ADJ cana-1918 120 77 vector vector NOUN cana-1918 120 78 to to PART cana-1918 120 79 be be AUX cana-1918 120 80 found find VERB cana-1918 120 81 . . PUNCT cana-1918 121 1 the the DET cana-1918 121 2 hardness hardness NOUN cana-1918 121 3 of of ADP cana-1918 121 4 lwe lwe PROPN cana-1918 121 5 is be AUX cana-1918 121 6 based base VERB cana-1918 121 7 on on ADP cana-1918 121 8 the the DET cana-1918 121 9 fact fact NOUN cana-1918 121 10 that that SCONJ cana-1918 121 11 finding find VERB cana-1918 121 12 𝑠 𝑠 PROPN cana-1918 121 13 is be AUX cana-1918 121 14 computationally computationally ADV cana-1918 121 15 infeasible infeasible ADJ cana-1918 121 16 , , PUNCT cana-1918 121 17 even even ADV cana-1918 121 18 with with ADP cana-1918 121 19 quantum quantum ADJ cana-1918 121 20 algorithms algorithm NOUN cana-1918 121 21 . . PUNCT cana-1918 122 1 the the DET cana-1918 122 2 rotation rotation NOUN cana-1918 122 3 of of ADP cana-1918 122 4 key key ADJ cana-1918 122 5 k k PROPN cana-1918 122 6 ensures ensure VERB cana-1918 122 7 that that SCONJ cana-1918 122 8 even even ADV cana-1918 122 9 if if SCONJ cana-1918 122 10 an an DET cana-1918 122 11 adversary adversary NOUN cana-1918 122 12 were be AUX cana-1918 122 13 to to PART cana-1918 122 14 obtain obtain VERB cana-1918 122 15 a a DET cana-1918 122 16 key key NOUN cana-1918 122 17 , , PUNCT cana-1918 122 18 it it PRON cana-1918 122 19 would would AUX cana-1918 122 20 only only ADV cana-1918 122 21 be be AUX cana-1918 122 22 valid valid ADJ cana-1918 122 23 for for ADP cana-1918 122 24 a a DET cana-1918 122 25 short short ADJ cana-1918 122 26 period period NOUN cana-1918 122 27 , , PUNCT cana-1918 122 28 limiting limit VERB cana-1918 122 29 the the DET cana-1918 122 30 impact impact NOUN cana-1918 122 31 of of ADP cana-1918 122 32 any any DET cana-1918 122 33 potential potential ADJ cana-1918 122 34 breach breach NOUN cana-1918 122 35 : : PUNCT cana-1918 122 36 𝐾𝑖+1 𝐾𝑖+1 ADJ cana-1918 122 37 = = SYM cana-1918 122 38 prng(𝐾𝑖 prng(𝐾𝑖 NOUN cana-1918 122 39 ) ) PUNCT cana-1918 122 40 where where SCONJ cana-1918 122 41 prng prng NOUN cana-1918 122 42 is be AUX cana-1918 122 43 a a DET cana-1918 122 44 pseudo pseudo NOUN cana-1918 122 45 - - ADJ cana-1918 122 46 random random ADJ cana-1918 122 47 number number NOUN cana-1918 122 48 generator generator NOUN cana-1918 122 49 ensuring ensure VERB cana-1918 122 50 that that SCONJ cana-1918 122 51 each each DET cana-1918 122 52 new new ADJ cana-1918 122 53 key key NOUN cana-1918 122 54 is be AUX cana-1918 122 55 unpredictable unpredictable ADJ cana-1918 122 56 and and CCONJ cana-1918 122 57 uncorrelated uncorrelate VERB cana-1918 122 58 with with ADP cana-1918 122 59 previous previous ADJ cana-1918 122 60 keys key NOUN cana-1918 122 61 . . PUNCT cana-1918 123 1 β€’ β€’ NUM cana-1918 123 2 multi multi ADJ cana-1918 123 3 - - ADJ cana-1918 123 4 layered layered ADJ cana-1918 123 5 encryption encryption NOUN cana-1918 123 6 the the DET cana-1918 123 7 system system NOUN cana-1918 123 8 employs employ VERB cana-1918 123 9 multi multi ADJ cana-1918 123 10 - - ADJ cana-1918 123 11 layered layered ADJ cana-1918 123 12 encryption encryption NOUN cana-1918 123 13 , , PUNCT cana-1918 123 14 combining combine VERB cana-1918 123 15 homomorphic homomorphic ADJ cana-1918 123 16 encryption encryption NOUN cana-1918 123 17 , , PUNCT cana-1918 123 18 elliptic elliptic ADJ cana-1918 123 19 curve curve NOUN cana-1918 123 20 cryptography cryptography NOUN cana-1918 123 21 ( ( PUNCT cana-1918 123 22 ecc ecc PROPN cana-1918 123 23 ) ) PUNCT cana-1918 123 24 , , PUNCT cana-1918 123 25 and and CCONJ cana-1918 123 26 lattice lattice NOUN cana-1918 123 27 - - PUNCT cana-1918 123 28 based base VERB cana-1918 123 29 cryptography cryptography NOUN cana-1918 123 30 . . PUNCT cana-1918 124 1 the the DET cana-1918 124 2 system system NOUN cana-1918 124 3 's 's PART cana-1918 124 4 security security NOUN cana-1918 124 5 relies rely VERB cana-1918 124 6 on on ADP cana-1918 124 7 the the DET cana-1918 124 8 difficulty difficulty NOUN cana-1918 124 9 of of ADP cana-1918 124 10 solving solve VERB cana-1918 124 11 problems problem NOUN cana-1918 124 12 in in ADP cana-1918 124 13 these these DET cana-1918 124 14 domains domain NOUN cana-1918 124 15 , , PUNCT cana-1918 124 16 such such ADJ cana-1918 124 17 as as ADP cana-1918 124 18 the the DET cana-1918 124 19 elliptic elliptic ADJ cana-1918 124 20 curve curve NOUN cana-1918 124 21 discrete discrete ADJ cana-1918 124 22 logarithm logarithm NOUN cana-1918 124 23 problem problem NOUN cana-1918 124 24 ( ( PUNCT cana-1918 124 25 ecdlp ecdlp NOUN cana-1918 124 26 ) ) PUNCT cana-1918 124 27 and and CCONJ cana-1918 124 28 lattice lattice NOUN cana-1918 124 29 - - PUNCT cana-1918 124 30 based base VERB cana-1918 124 31 problems problem NOUN cana-1918 124 32 like like ADP cana-1918 124 33 the the DET cana-1918 124 34 shortest short ADJ cana-1918 124 35 vector vector NOUN cana-1918 124 36 problem problem NOUN cana-1918 124 37 ( ( PUNCT cana-1918 124 38 svp svp NOUN cana-1918 124 39 ) ) PUNCT cana-1918 124 40 . . PUNCT cana-1918 125 1 β€’ β€’ NUM cana-1918 125 2 homomorphic homomorphic ADJ cana-1918 125 3 encryption encryption NOUN cana-1918 125 4 : : PUNCT cana-1918 125 5 enables enable VERB cana-1918 125 6 computations computation NOUN cana-1918 125 7 on on ADP cana-1918 125 8 encrypted encrypt VERB cana-1918 125 9 data datum NOUN cana-1918 125 10 without without ADP cana-1918 125 11 decryption decryption NOUN cana-1918 125 12 . . PUNCT cana-1918 126 1 given give VERB cana-1918 126 2 ciphertexts ciphertexts NOUN cana-1918 126 3 𝑐1 𝑐1 NOUN cana-1918 126 4 = = SYM cana-1918 126 5 𝐸(π‘š1 𝐸(π‘š1 NOUN cana-1918 126 6 ) ) PUNCT cana-1918 126 7 and and CCONJ cana-1918 126 8 𝑐_2 𝑐_2 NOUN cana-1918 126 9 = = SYM cana-1918 126 10 𝐸(π‘š2 𝐸(π‘š2 PROPN cana-1918 126 11 ) ) PUNCT cana-1918 126 12 , , PUNCT cana-1918 126 13 the the DET cana-1918 126 14 encryption encryption NOUN cana-1918 126 15 supports support VERB cana-1918 126 16 operations operation NOUN cana-1918 126 17 such such ADJ cana-1918 126 18 that that SCONJ cana-1918 126 19 : : PUNCT cana-1918 126 20 𝐸(π‘š1 𝐸(π‘š1 X cana-1918 126 21 ) ) PUNCT cana-1918 126 22 β‹… β‹… PROPN cana-1918 126 23 𝐸(π‘š2 𝐸(π‘š2 PROPN cana-1918 126 24 ) ) PUNCT cana-1918 126 25 = = PUNCT cana-1918 126 26 𝐸(π‘š1 𝐸(π‘š1 PROPN cana-1918 126 27 + + NUM cana-1918 126 28 π‘š2 π‘š2 NOUN cana-1918 126 29 ) ) PUNCT cana-1918 126 30 β€’ β€’ ADP cana-1918 126 31 elliptic elliptic ADJ cana-1918 126 32 curve curve NOUN cana-1918 126 33 cryptography cryptography NOUN cana-1918 126 34 ( ( PUNCT cana-1918 126 35 ecc ecc PROPN cana-1918 126 36 ): ): PUNCT cana-1918 126 37 based base VERB cana-1918 126 38 on on ADP cana-1918 126 39 the the DET cana-1918 126 40 hardness hardness NOUN cana-1918 126 41 of of ADP cana-1918 126 42 the the DET cana-1918 126 43 elliptic elliptic ADJ cana-1918 126 44 curve curve NOUN cana-1918 126 45 discrete discrete ADJ cana-1918 126 46 logarithm logarithm NOUN cana-1918 126 47 problem problem NOUN cana-1918 126 48 ( ( PUNCT cana-1918 126 49 ecdlp ecdlp PROPN cana-1918 126 50 ) ) PUNCT cana-1918 126 51 , , PUNCT cana-1918 126 52 where where SCONJ cana-1918 126 53 given give VERB cana-1918 126 54 a a DET cana-1918 126 55 point point NOUN cana-1918 126 56 p p NOUN cana-1918 126 57 on on ADP cana-1918 126 58 an an DET cana-1918 126 59 elliptic elliptic ADJ cana-1918 126 60 curve curve NOUN cana-1918 126 61 and and CCONJ cana-1918 126 62 a a DET cana-1918 126 63 scalar scalar ADJ cana-1918 126 64 k k NOUN cana-1918 126 65 , , PUNCT cana-1918 126 66 it it PRON cana-1918 126 67 is be AUX cana-1918 126 68 computationally computationally ADV cana-1918 126 69 infeasible infeasible ADJ cana-1918 126 70 to to PART cana-1918 126 71 find find VERB cana-1918 126 72 k k NOUN cana-1918 126 73 given give VERB cana-1918 126 74 p p PROPN cana-1918 126 75 and and CCONJ cana-1918 126 76 𝑄 𝑄 PROPN cana-1918 126 77 = = PRON cana-1918 126 78 π‘˜π‘ƒ. π‘˜π‘ƒ. PROPN cana-1918 126 79 the the DET cana-1918 126 80 key key ADJ cana-1918 126 81 size size NOUN cana-1918 126 82 in in ADP cana-1918 126 83 ecc ecc PROPN cana-1918 126 84 is be AUX cana-1918 126 85 significantly significantly ADV cana-1918 126 86 smaller small ADJ cana-1918 126 87 compared compare VERB cana-1918 126 88 to to ADP cana-1918 126 89 rsa rsa PROPN cana-1918 126 90 for for ADP cana-1918 126 91 the the DET cana-1918 126 92 same same ADJ cana-1918 126 93 level level NOUN cana-1918 126 94 of of ADP cana-1918 126 95 security security NOUN cana-1918 126 96 : : PUNCT cana-1918 126 97 β€’ β€’ NUM cana-1918 126 98 lattice lattice NOUN cana-1918 126 99 - - PUNCT cana-1918 126 100 based base VERB cana-1918 126 101 cryptography cryptography NOUN cana-1918 126 102 : : PUNCT cana-1918 126 103 based base VERB cana-1918 126 104 on on ADP cana-1918 126 105 complex complex ADJ cana-1918 126 106 problems problem NOUN cana-1918 126 107 like like ADP cana-1918 126 108 the the DET cana-1918 126 109 shortest short ADJ cana-1918 126 110 vector vector NOUN cana-1918 126 111 problem problem NOUN cana-1918 126 112 ( ( PUNCT cana-1918 126 113 svp svp NOUN cana-1918 126 114 ) ) PUNCT cana-1918 126 115 , , PUNCT cana-1918 126 116 where where SCONJ cana-1918 126 117 finding find VERB cana-1918 126 118 the the DET cana-1918 126 119 shortest short ADJ cana-1918 126 120 non non ADJ cana-1918 126 121 - - ADJ cana-1918 126 122 zero zero NUM cana-1918 126 123 vector vector NOUN cana-1918 126 124 in in ADP cana-1918 126 125 a a DET cana-1918 126 126 lattice lattice NOUN cana-1918 126 127 𝛬 𝛬 NOUN cana-1918 126 128 is be AUX cana-1918 126 129 computationally computationally ADV cana-1918 126 130 infeasible infeasible ADJ cana-1918 126 131 . . PUNCT cana-1918 127 1 the the DET cana-1918 127 2 security security NOUN cana-1918 127 3 of of ADP cana-1918 127 4 lattice lattice NOUN cana-1918 127 5 - - PUNCT cana-1918 127 6 based base VERB cana-1918 127 7 cryptography cryptography NOUN cana-1918 127 8 is be AUX cana-1918 127 9 believed believe VERB cana-1918 127 10 to to PART cana-1918 127 11 be be AUX cana-1918 127 12 strong strong ADJ cana-1918 127 13 even even ADV cana-1918 127 14 against against ADP cana-1918 127 15 quantum quantum ADJ cana-1918 127 16 computers computer NOUN cana-1918 127 17 . . PUNCT cana-1918 128 1 𝑆𝑉𝑃 𝑆𝑉𝑃 PROPN cana-1918 128 2 : : PUNCT cana-1918 129 1 𝐹𝑖𝑛𝑑 𝐹𝑖𝑛𝑑 VERB cana-1918 129 2 𝑣 𝑣 ADP cana-1918 129 3 ∈ ∈ PROPN cana-1918 129 4 𝛬 𝛬 NOUN cana-1918 129 5 π‘ π‘’π‘β„Ž π‘ π‘’π‘β„Ž NOUN cana-1918 129 6 π‘‘β„Žπ‘Žπ‘‘ π‘‘β„Žπ‘Žπ‘‘ ADJ cana-1918 129 7 βˆ₯ βˆ₯ PUNCT cana-1918 129 8 𝑣 𝑣 ADP cana-1918 129 9 βˆ₯ βˆ₯ PUNCT cana-1918 129 10 𝑖𝑠 𝑖𝑠 NOUN cana-1918 129 11 π‘šπ‘–π‘›π‘–π‘šπ‘Žπ‘™ π‘šπ‘–π‘›π‘–π‘šπ‘Žπ‘™ NOUN cana-1918 129 12 the the DET cana-1918 129 13 combined combined ADJ cana-1918 129 14 use use NOUN cana-1918 129 15 of of ADP cana-1918 129 16 these these DET cana-1918 129 17 cryptographic cryptographic ADJ cana-1918 129 18 techniques technique NOUN cana-1918 129 19 ensures ensure VERB cana-1918 129 20 that that SCONJ cana-1918 129 21 even even ADV cana-1918 129 22 if if SCONJ cana-1918 129 23 one one NUM cana-1918 129 24 layer layer NOUN cana-1918 129 25 were be AUX cana-1918 129 26 to to PART cana-1918 129 27 be be AUX cana-1918 129 28 compromised compromise VERB cana-1918 129 29 , , PUNCT cana-1918 129 30 the the DET cana-1918 129 31 other other ADJ cana-1918 129 32 layers layer NOUN cana-1918 129 33 would would AUX cana-1918 129 34 still still ADV cana-1918 129 35 provide provide VERB cana-1918 129 36 robust robust ADJ cana-1918 129 37 security security NOUN cana-1918 129 38 . . PUNCT cana-1918 130 1 communications communication NOUN cana-1918 130 2 on on ADP cana-1918 130 3 applied apply VERB cana-1918 130 4 nonlinear nonlinear ADJ cana-1918 130 5 analysis analysis NOUN cana-1918 130 6 issn issn NOUN cana-1918 130 7 : : PUNCT cana-1918 130 8 1074 1074 NUM cana-1918 130 9 - - PUNCT cana-1918 130 10 133x 133x NUM cana-1918 130 11 vol vol NOUN cana-1918 130 12 32 32 NUM cana-1918 130 13 no no NOUN cana-1918 130 14 . . NOUN cana-1918 130 15 2 2 NUM cana-1918 130 16 ( ( PUNCT cana-1918 130 17 2025 2025 NUM cana-1918 130 18 ) ) PUNCT cana-1918 130 19 741 741 NUM cana-1918 130 20 https://internationalpubls.com https://internationalpubls.com X cana-1918 130 21 6 6 NUM cana-1918 130 22 . . PUNCT cana-1918 131 1 results result VERB cana-1918 131 2 discussion discussion NOUN cana-1918 131 3 key key ADJ cana-1918 131 4 outcomes outcome NOUN cana-1918 131 5 1 1 NUM cana-1918 131 6 . . X cana-1918 131 7 efficiency efficiency NOUN cana-1918 131 8 : : PUNCT cana-1918 131 9 the the DET cana-1918 131 10 proposed propose VERB cana-1918 131 11 mechanism mechanism NOUN cana-1918 131 12 significantly significantly ADV cana-1918 131 13 reduced reduce VERB cana-1918 131 14 computational computational ADJ cana-1918 131 15 overhead overhead NOUN cana-1918 131 16 compared compare VERB cana-1918 131 17 to to ADP cana-1918 131 18 traditional traditional ADJ cana-1918 131 19 multi multi ADJ cana-1918 131 20 - - ADJ cana-1918 131 21 cloud cloud ADJ cana-1918 131 22 steganography steganography NOUN cana-1918 131 23 methods method NOUN cana-1918 131 24 . . PUNCT cana-1918 132 1 embedding embed VERB cana-1918 132 2 and and CCONJ cana-1918 132 3 retrieval retrieval NOUN cana-1918 132 4 processes process NOUN cana-1918 132 5 were be AUX cana-1918 132 6 performed perform VERB cana-1918 132 7 within within ADP cana-1918 132 8 optimal optimal ADJ cana-1918 132 9 time time NOUN cana-1918 132 10 frames frame NOUN cana-1918 132 11 , , PUNCT cana-1918 132 12 even even ADV cana-1918 132 13 for for ADP cana-1918 132 14 large large ADJ cana-1918 132 15 datasets dataset NOUN cana-1918 132 16 . . PUNCT cana-1918 133 1 2 2 X cana-1918 133 2 . . X cana-1918 133 3 security security NOUN cana-1918 133 4 : : PUNCT cana-1918 133 5 the the DET cana-1918 133 6 system system NOUN cana-1918 133 7 demonstrated demonstrate VERB cana-1918 133 8 strong strong ADJ cana-1918 133 9 resistance resistance NOUN cana-1918 133 10 to to ADP cana-1918 133 11 all all DET cana-1918 133 12 forms form NOUN cana-1918 133 13 of of ADP cana-1918 133 14 cryptanalysis cryptanalysis NOUN cana-1918 133 15 and and CCONJ cana-1918 133 16 steganalysis steganalysis NOUN cana-1918 133 17 tested test VERB cana-1918 133 18 during during ADP cana-1918 133 19 validation validation NOUN cana-1918 133 20 , , PUNCT cana-1918 133 21 with with ADP cana-1918 133 22 no no DET cana-1918 133 23 successful successful ADJ cana-1918 133 24 breaches breach NOUN cana-1918 133 25 recorded record VERB cana-1918 133 26 . . PUNCT cana-1918 134 1 3 3 X cana-1918 134 2 . . X cana-1918 134 3 simplicity simplicity NOUN cana-1918 134 4 : : PUNCT cana-1918 134 5 by by ADP cana-1918 134 6 confining confine VERB cana-1918 134 7 operations operation NOUN cana-1918 134 8 to to ADP cana-1918 134 9 a a DET cana-1918 134 10 single single ADJ cana-1918 134 11 cloud cloud NOUN cana-1918 134 12 environment environment NOUN cana-1918 134 13 , , PUNCT cana-1918 134 14 the the DET cana-1918 134 15 mechanism mechanism NOUN cana-1918 134 16 simplified simplify VERB cana-1918 134 17 credential credential ADJ cana-1918 134 18 management management NOUN cana-1918 134 19 , , PUNCT cana-1918 134 20 key key ADJ cana-1918 134 21 handling handling NOUN cana-1918 134 22 , , PUNCT cana-1918 134 23 and and CCONJ cana-1918 134 24 overall overall ADJ cana-1918 134 25 operational operational ADJ cana-1918 134 26 complexity complexity NOUN cana-1918 134 27 . . PUNCT cana-1918 135 1 table table NOUN cana-1918 135 2 5 5 NUM cana-1918 135 3 : : PUNCT cana-1918 135 4 results result NOUN cana-1918 135 5 summary summary VERB cana-1918 135 6 metric metric ADJ cana-1918 135 7 measurement measurement NOUN cana-1918 135 8 outcome outcome NOUN cana-1918 135 9 security security NOUN cana-1918 135 10 resistance resistance NOUN cana-1918 135 11 to to ADP cana-1918 135 12 quantum quantum ADJ cana-1918 135 13 and and CCONJ cana-1918 135 14 classical classical ADJ cana-1918 135 15 attacks attack NOUN cana-1918 135 16 strong strong ADJ cana-1918 135 17 resistance resistance NOUN cana-1918 135 18 , , PUNCT cana-1918 135 19 no no DET cana-1918 135 20 breaches breach NOUN cana-1918 135 21 efficiency efficiency NOUN cana-1918 135 22 execution execution NOUN cana-1918 135 23 time time NOUN cana-1918 135 24 and and CCONJ cana-1918 135 25 resource resource NOUN cana-1918 135 26 usage usage NOUN cana-1918 135 27 optimal optimal ADJ cana-1918 135 28 for for ADP cana-1918 135 29 large large ADJ cana-1918 135 30 datasets dataset NOUN cana-1918 135 31 scalability scalability NOUN cana-1918 135 32 handling handle VERB cana-1918 135 33 increasing increase VERB cana-1918 135 34 data datum NOUN cana-1918 135 35 size size NOUN cana-1918 135 36 / / SYM cana-1918 135 37 complexity complexity NOUN cana-1918 135 38 effective effective ADJ cana-1918 135 39 , , PUNCT cana-1918 135 40 further further ADJ cana-1918 135 41 optimization optimization NOUN cana-1918 135 42 is be AUX cana-1918 135 43 possible possible ADJ cana-1918 135 44 7 7 NUM cana-1918 135 45 . . X cana-1918 135 46 conclusion conclusion NOUN cana-1918 135 47 this this DET cana-1918 135 48 research research NOUN cana-1918 135 49 successfully successfully ADV cana-1918 135 50 developed develop VERB cana-1918 135 51 and and CCONJ cana-1918 135 52 validated validate VERB cana-1918 135 53 an an DET cana-1918 135 54 advanced advanced ADJ cana-1918 135 55 cryptographic cryptographic ADJ cana-1918 135 56 steganography steganography NOUN cana-1918 135 57 mechanism mechanism NOUN cana-1918 135 58 within within ADP cana-1918 135 59 a a DET cana-1918 135 60 single single ADJ cana-1918 135 61 cloud cloud NOUN cana-1918 135 62 environment environment NOUN cana-1918 135 63 . . PUNCT cana-1918 136 1 the the DET cana-1918 136 2 proposed propose VERB cana-1918 136 3 method method NOUN cana-1918 136 4 provides provide VERB cana-1918 136 5 a a DET cana-1918 136 6 secure secure ADJ cana-1918 136 7 , , PUNCT cana-1918 136 8 efficient efficient ADJ cana-1918 136 9 , , PUNCT cana-1918 136 10 and and CCONJ cana-1918 136 11 easy easy ADJ cana-1918 136 12 - - PUNCT cana-1918 136 13 to to AUX cana-1918 136 14 - - PUNCT cana-1918 136 15 implement implement VERB cana-1918 136 16 solution solution NOUN cana-1918 136 17 for for ADP cana-1918 136 18 embedding embed VERB cana-1918 136 19 sensitive sensitive ADJ cana-1918 136 20 data datum NOUN cana-1918 136 21 within within ADP cana-1918 136 22 cloud cloud NOUN cana-1918 136 23 storage storage NOUN cana-1918 136 24 by by ADP cana-1918 136 25 eliminating eliminate VERB cana-1918 136 26 the the DET cana-1918 136 27 complexities complexity NOUN cana-1918 136 28 associated associate VERB cana-1918 136 29 with with ADP cana-1918 136 30 multi multi ADJ cana-1918 136 31 - - ADJ cana-1918 136 32 cloud cloud ADJ cana-1918 136 33 systems system NOUN cana-1918 136 34 and and CCONJ cana-1918 136 35 focusing focus VERB cana-1918 136 36 on on ADP cana-1918 136 37 robust robust ADJ cana-1918 136 38 cryptographic cryptographic ADJ cana-1918 136 39 techniques technique NOUN cana-1918 136 40 . . PUNCT cana-1918 137 1 the the DET cana-1918 137 2 system system NOUN cana-1918 137 3 strongly strongly ADV cana-1918 137 4 resisted resist VERB cana-1918 137 5 attacks attack NOUN cana-1918 137 6 , , PUNCT cana-1918 137 7 ensuring ensure VERB cana-1918 137 8 the the DET cana-1918 137 9 data datum NOUN cana-1918 137 10 's 's PART cana-1918 137 11 confidentiality confidentiality NOUN cana-1918 137 12 , , PUNCT cana-1918 137 13 integrity integrity NOUN cana-1918 137 14 , , PUNCT cana-1918 137 15 and and CCONJ cana-1918 137 16 availability availability NOUN cana-1918 137 17 . . PUNCT cana-1918 138 1 reference reference NOUN cana-1918 138 2 [ [ X cana-1918 138 3 1 1 NUM cana-1918 138 4 ] ] X cana-1918 138 5 abdul abdul PROPN cana-1918 138 6 , , PUNCT cana-1918 138 7 arif arif PROPN cana-1918 138 8 mohammad mohammad PROPN cana-1918 138 9 , , PUNCT cana-1918 138 10 m. m. NOUN cana-1918 138 11 balraju balraju PROPN cana-1918 138 12 , , PUNCT cana-1918 138 13 and and CCONJ cana-1918 138 14 sudarson sudarson PROPN cana-1918 138 15 jena jena PROPN cana-1918 138 16 . . PUNCT cana-1918 139 1 " " PUNCT cana-1918 139 2 trusted trust VERB cana-1918 139 3 system system NOUN cana-1918 139 4 in in ADP cana-1918 139 5 cloud cloud NOUN cana-1918 139 6 environment environment NOUN cana-1918 139 7 . . PUNCT cana-1918 139 8 " " PUNCT cana-1918 140 1 international international ADJ cana-1918 140 2 journal journal NOUN cana-1918 140 3 of of ADP cana-1918 140 4 engineering engineering PROPN cana-1918 140 5 research research NOUN cana-1918 140 6 & & CCONJ cana-1918 140 7 technology technology PROPN cana-1918 140 8 ( ( PUNCT cana-1918 140 9 2013 2013 NUM cana-1918 140 10 ): ): PUNCT cana-1918 140 11 865 865 NUM cana-1918 140 12 - - NUM cana-1918 140 13 869 869 NUM cana-1918 140 14 . . PUNCT cana-1918 141 1 [ [ X cana-1918 141 2 2 2 NUM cana-1918 141 3 ] ] PUNCT cana-1918 141 4 hashmi hashmi PROPN cana-1918 141 5 , , PUNCT cana-1918 141 6 syed syed PROPN cana-1918 141 7 shakeel shakeel PROPN cana-1918 141 8 , , PUNCT cana-1918 141 9 et et PROPN cana-1918 141 10 al al PROPN cana-1918 141 11 . . PUNCT cana-1918 142 1 " " PUNCT cana-1918 142 2 enhancing enhance VERB cana-1918 142 3 data datum NOUN cana-1918 142 4 security security NOUN cana-1918 142 5 in in ADP cana-1918 142 6 multi multi ADJ cana-1918 142 7 - - ADJ cana-1918 142 8 cloud cloud ADJ cana-1918 142 9 environments environment NOUN cana-1918 142 10 : : PUNCT cana-1918 142 11 a a DET cana-1918 142 12 product product NOUN cana-1918 142 13 cipher cipher ADV cana-1918 142 14 - - PUNCT cana-1918 142 15 based base VERB cana-1918 142 16 distributed distribute VERB cana-1918 142 17 steganography steganography NOUN cana-1918 142 18 approach approach NOUN cana-1918 142 19 . . PUNCT cana-1918 142 20 " " PUNCT cana-1918 143 1 international international ADJ cana-1918 143 2 journal journal NOUN cana-1918 143 3 of of ADP cana-1918 143 4 safety safety PROPN cana-1918 143 5 & & CCONJ cana-1918 143 6 security security NOUN cana-1918 143 7 engineering engineer VERB cana-1918 143 8 14.1 14.1 NUM cana-1918 143 9 ( ( PUNCT cana-1918 143 10 2024 2024 NUM cana-1918 143 11 ) ) PUNCT cana-1918 143 12 . . PUNCT cana-1918 144 1 [ [ X cana-1918 144 2 3 3 NUM cana-1918 144 3 ] ] X cana-1918 144 4 arif arif PROPN cana-1918 144 5 , , PUNCT cana-1918 144 6 mohammad mohammad PROPN cana-1918 144 7 abdul abdul PROPN cana-1918 144 8 , , PUNCT cana-1918 144 9 et et PROPN cana-1918 144 10 al al PROPN cana-1918 144 11 . . PUNCT cana-1918 145 1 " " PUNCT cana-1918 145 2 brute brute ADJ cana-1918 145 3 force force NOUN cana-1918 145 4 attack attack NOUN cana-1918 145 5 on on ADP cana-1918 145 6 distributed distribute VERB cana-1918 145 7 data datum NOUN cana-1918 145 8 hiding hide VERB cana-1918 145 9 in in ADP cana-1918 145 10 the the DET cana-1918 145 11 multi multi ADJ cana-1918 145 12 - - ADJ cana-1918 145 13 cloud cloud ADJ cana-1918 145 14 storage storage NOUN cana-1918 145 15 environment environment NOUN cana-1918 145 16 more more ADV cana-1918 145 17 diminutive diminutive ADJ cana-1918 145 18 than than ADP cana-1918 145 19 the the DET cana-1918 145 20 exponential exponential ADJ cana-1918 145 21 computations computation NOUN cana-1918 145 22 . . PUNCT cana-1918 145 23 " " PUNCT cana-1918 145 24 ingenierie ingenierie VERB cana-1918 145 25 des des PROPN cana-1918 145 26 systemes systemes PROPN cana-1918 145 27 d'information d'information PROPN cana-1918 145 28 27.6 27.6 NUM cana-1918 145 29 ( ( PUNCT cana-1918 145 30 2022 2022 NUM cana-1918 145 31 ): ): PUNCT cana-1918 145 32 915 915 NUM cana-1918 145 33 . . PUNCT cana-1918 146 1 [ [ X cana-1918 146 2 4 4 NUM cana-1918 146 3 ] ] X cana-1918 146 4 leonel leonel PROPN cana-1918 146 5 , , PUNCT cana-1918 146 6 moyou moyou NOUN cana-1918 146 7 metcheka metcheka ADJ cana-1918 146 8 , , PUNCT cana-1918 146 9 and and CCONJ cana-1918 146 10 ndoundam ndoundam PROPN cana-1918 146 11 renΓ© renΓ© PROPN cana-1918 146 12 . . PUNCT cana-1918 147 1 " " PUNCT cana-1918 147 2 distributed distribute VERB cana-1918 147 3 data datum NOUN cana-1918 147 4 hiding hide VERB cana-1918 147 5 in in ADP cana-1918 147 6 multi multi ADJ cana-1918 147 7 - - ADJ cana-1918 147 8 cloud cloud ADJ cana-1918 147 9 storage storage NOUN cana-1918 147 10 environment environment NOUN cana-1918 147 11 . . PUNCT cana-1918 147 12 " " PUNCT cana-1918 148 1 journal journal NOUN cana-1918 148 2 of of ADP cana-1918 148 3 cloud cloud NOUN cana-1918 148 4 computing compute VERB cana-1918 148 5 9.1 9.1 NUM cana-1918 148 6 ( ( PUNCT cana-1918 148 7 2020 2020 NUM cana-1918 148 8 ) ) PUNCT cana-1918 148 9 . . PUNCT cana-1918 149 1 [ [ X cana-1918 149 2 5 5 X cana-1918 149 3 ] ] X cana-1918 149 4 mossebo mossebo PROPN cana-1918 149 5 tcheunteu tcheunteu PROPN cana-1918 149 6 , , PUNCT cana-1918 149 7 stΓ©phane stΓ©phane PROPN cana-1918 149 8 willy willy PROPN cana-1918 149 9 , , PUNCT cana-1918 149 10 leonel leonel PROPN cana-1918 149 11 moyou moyou PROPN cana-1918 149 12 metcheka metcheka PROPN cana-1918 149 13 , , PUNCT cana-1918 149 14 and and CCONJ cana-1918 149 15 renΓ© renΓ© PROPN cana-1918 149 16 ndoundam ndoundam PROPN cana-1918 149 17 . . PUNCT cana-1918 150 1 " " PUNCT cana-1918 150 2 distributed distribute VERB cana-1918 150 3 data datum NOUN cana-1918 150 4 hiding hide VERB cana-1918 150 5 in in ADP cana-1918 150 6 a a DET cana-1918 150 7 single single ADJ cana-1918 150 8 cloud cloud NOUN cana-1918 150 9 storage storage NOUN cana-1918 150 10 environment environment NOUN cana-1918 150 11 . . PUNCT cana-1918 150 12 " " PUNCT cana-1918 151 1 journal journal NOUN cana-1918 151 2 of of ADP cana-1918 151 3 cloud cloud NOUN cana-1918 151 4 computing compute VERB cana-1918 151 5 10.1 10.1 NUM cana-1918 151 6 ( ( PUNCT cana-1918 151 7 2021 2021 NUM cana-1918 151 8 ): ): PUNCT cana-1918 151 9 43 43 NUM cana-1918 151 10 . . PUNCT cana-1918 152 1 [ [ X cana-1918 152 2 6 6 NUM cana-1918 152 3 ] ] PUNCT cana-1918 152 4 banu banu PROPN cana-1918 152 5 , , PUNCT cana-1918 152 6 mrs mrs PROPN cana-1918 152 7 salma salma PROPN cana-1918 152 8 , , PUNCT cana-1918 152 9 vijayalaxmi vijayalaxmi NOUN cana-1918 152 10 biradar biradar NOUN cana-1918 152 11 , , PUNCT cana-1918 152 12 and and CCONJ cana-1918 152 13 arshad arshad PROPN cana-1918 152 14 ahmad ahmad PROPN cana-1918 152 15 khan khan PROPN cana-1918 152 16 mohammad mohammad PROPN cana-1918 152 17 . . PUNCT cana-1918 153 1 " " PUNCT cana-1918 153 2 secure secure ADJ cana-1918 153 3 and and CCONJ cana-1918 153 4 undetectable undetectable ADJ cana-1918 153 5 multicloud multicloud NOUN cana-1918 153 6 steganography steganography NOUN cana-1918 153 7 : : PUNCT cana-1918 153 8 leveraging leverage VERB cana-1918 153 9 non non ADJ cana-1918 153 10 - - NOUN cana-1918 153 11 alteration alteration NOUN cana-1918 153 12 techniques technique NOUN cana-1918 153 13 for for ADP cana-1918 153 14 covert covert ADJ cana-1918 153 15 communication communication NOUN cana-1918 153 16 . . PUNCT cana-1918 153 17 " " PUNCT cana-1918 154 1 educational educational ADJ cana-1918 154 2 administration administration NOUN cana-1918 154 3 : : PUNCT cana-1918 154 4 theory theory NOUN cana-1918 154 5 and and CCONJ cana-1918 154 6 practice practice NOUN cana-1918 154 7 30.6 30.6 NUM cana-1918 154 8 ( ( PUNCT cana-1918 154 9 2024 2024 NUM cana-1918 154 10 ): ): PUNCT cana-1918 154 11 1789 1789 NUM cana-1918 154 12 - - SYM cana-1918 154 13 1798 1798 NUM cana-1918 154 14 . . PUNCT cana-1918 155 1 [ [ X cana-1918 155 2 7 7 X cana-1918 155 3 ] ] X cana-1918 155 4 banu banu NOUN cana-1918 155 5 , , PUNCT cana-1918 155 6 mrs mrs PROPN cana-1918 155 7 salma salma PROPN cana-1918 155 8 , , PUNCT cana-1918 155 9 vijayalaxmi vijayalaxmi NOUN cana-1918 155 10 biradar biradar NOUN cana-1918 155 11 , , PUNCT cana-1918 155 12 and and CCONJ cana-1918 155 13 arshad arshad PROPN cana-1918 155 14 ahmad ahmad PROPN cana-1918 155 15 khan khan PROPN cana-1918 155 16 mohammad mohammad PROPN cana-1918 155 17 . . PUNCT cana-1918 156 1 enhanced enhance VERB cana-1918 156 2 data datum NOUN cana-1918 156 3 security security NOUN cana-1918 156 4 in in ADP cana-1918 156 5 multicloud multicloud NOUN cana-1918 156 6 environments environment NOUN cana-1918 156 7 : : PUNCT cana-1918 156 8 an an DET cana-1918 156 9 advanced advanced ADJ cana-1918 156 10 product product NOUN cana-1918 156 11 cipher cipher ADV cana-1918 156 12 - - PUNCT cana-1918 156 13 based base VERB cana-1918 156 14 distributed distribute VERB cana-1918 156 15 steganography steganography NOUN cana-1918 156 16 approach approach NOUN cana-1918 156 17 . . PUNCT cana-1918 157 1 ( ( PUNCT cana-1918 157 2 2024 2024 NUM cana-1918 157 3 ) ) PUNCT cana-1918 157 4 . . PUNCT cana-1918 158 1 cahiers cahier NOUN cana-1918 158 2 magellanes magellane NOUN cana-1918 158 3 - - PUNCT cana-1918 158 4 ns ns ADJ cana-1918 158 5 , , PUNCT cana-1918 158 6 6(2 6(2 NUM cana-1918 158 7 ) ) PUNCT cana-1918 158 8 , , PUNCT cana-1918 158 9 835 835 NUM cana-1918 158 10 - - SYM cana-1918 158 11 840 840 NUM cana-1918 158 12 . . PUNCT cana-1918 159 1 [ [ X cana-1918 159 2 8 8 NUM cana-1918 159 3 ] ] X cana-1918 159 4 morkel morkel NOUN cana-1918 159 5 , , PUNCT cana-1918 159 6 t. t. PROPN cana-1918 159 7 , , PUNCT cana-1918 159 8 and and CCONJ cana-1918 159 9 j. j. PROPN cana-1918 159 10 h. h. PROPN cana-1918 159 11 p. p. PROPN cana-1918 159 12 eloff eloff PROPN cana-1918 159 13 . . PUNCT cana-1918 160 1 " " PUNCT cana-1918 160 2 encryption encryption NOUN cana-1918 160 3 techniques technique NOUN cana-1918 160 4 : : PUNCT cana-1918 160 5 a a DET cana-1918 160 6 timeline timeline NOUN cana-1918 160 7 approach approach NOUN cana-1918 160 8 . . PUNCT cana-1918 160 9 " " PUNCT cana-1918 161 1 information information NOUN cana-1918 161 2 and and CCONJ cana-1918 161 3 computer computer NOUN cana-1918 161 4 security security NOUN cana-1918 161 5 architecture architecture NOUN cana-1918 161 6 ( ( PUNCT cana-1918 161 7 icsa icsa NOUN cana-1918 161 8 ) ) PUNCT cana-1918 161 9 research research NOUN cana-1918 161 10 group group NOUN cana-1918 161 11 , , PUNCT cana-1918 161 12 university university NOUN cana-1918 161 13 of of ADP cana-1918 161 14 pretoria pretoria PROPN cana-1918 161 15 2 2 NUM cana-1918 161 16 ( ( PUNCT cana-1918 161 17 2004 2004 NUM cana-1918 161 18 ) ) PUNCT cana-1918 161 19 . . PUNCT cana-1918 162 1 [ [ X cana-1918 162 2 9 9 NUM cana-1918 162 3 ] ] X cana-1918 162 4 dr dr PROPN cana-1918 162 5 . . PROPN cana-1918 162 6 mohammed mohammed PROPN cana-1918 162 7 abdul abdul PROPN cana-1918 162 8 bari bari PROPN cana-1918 162 9 , , PUNCT cana-1918 162 10 arul arul PROPN cana-1918 162 11 raj raj PROPN cana-1918 162 12 natraj natraj PROPN cana-1918 162 13 rajgopal rajgopal PROPN cana-1918 162 14 , , PUNCT cana-1918 162 15 dr.p dr.p NOUN cana-1918 162 16 . . PUNCT cana-1918 163 1 swetha swetha PROPN cana-1918 163 2 , , PUNCT cana-1918 163 3 ” " PUNCT cana-1918 163 4 analysing analyse VERB cana-1918 163 5 awsdevops awsdevop NOUN cana-1918 163 6 ci ci PROPN cana-1918 163 7 / / SYM cana-1918 163 8 cd cd PROPN cana-1918 163 9 serverless serverless NOUN cana-1918 163 10 pipeline pipeline NOUN cana-1918 163 11 lambda lambda NOUN cana-1918 163 12 function function NOUN cana-1918 163 13 's 's PART cana-1918 163 14 throughput throughput NOUN cana-1918 163 15 in in ADP cana-1918 163 16 relation relation NOUN cana-1918 163 17 to to ADP cana-1918 163 18 other other ADJ cana-1918 163 19 solution solution NOUN cana-1918 163 20 ” " PUNCT cana-1918 163 21 , , PUNCT cana-1918 163 22 international international ADJ cana-1918 163 23 journal journal NOUN cana-1918 163 24 of of ADP cana-1918 163 25 intelligent intelligent ADJ cana-1918 163 26 systems system NOUN cana-1918 163 27 and and CCONJ cana-1918 163 28 applications application NOUN cana-1918 163 29 in in ADP cana-1918 163 30 engineering engineering NOUN cana-1918 163 31 , , PUNCT cana-1918 163 32 jisae jisae NOUN cana-1918 163 33 , , PUNCT cana-1918 163 34 , , PUNCT cana-1918 163 35 , , PUNCT cana-1918 163 36 12(4s 12(4s NUM cana-1918 163 37 ) ) PUNCT cana-1918 163 38 , , PUNCT cana-1918 163 39 519–526 519–526 NUM cana-1918 163 40 , , PUNCT cana-1918 163 41 nov nov PROPN cana-1918 163 42 2023 2023 NUM cana-1918 163 43 , , PUNCT cana-1918 163 44 issn:2147 issn:2147 NOUN cana-1918 163 45 - - SYM cana-1918 163 46 6799 6799 NUM