id sid tid token lemma pos iajs-2008 1 1 microsoft microsoft PROPN iajs-2008 1 2 word word NOUN iajs-2008 1 3 151 151 NUM iajs-2008 1 4 - - SYM iajs-2008 1 5 159 159 NUM iajs-2008 1 6 mathematics mathematic NOUN iajs-2008 1 7 | | ADV iajs-2008 1 8 151 151 NUM iajs-2008 1 9 ibn ibn PROPN iajs-2008 1 10 al al PROPN iajs-2008 1 11 - - PUNCT iajs-2008 1 12 haitham haitham PROPN iajs-2008 1 13 jour jour X iajs-2008 1 14 . . PROPN iajs-2008 2 1 for for ADP iajs-2008 2 2 pure pure ADJ iajs-2008 2 3 & & CCONJ iajs-2008 2 4 appl appl PROPN iajs-2008 2 5 . . PUNCT iajs-2008 3 1 sci sci PROPN iajs-2008 3 2 . . PROPN iajs-2008 3 3 ihjpas ihjpas PROPN iajs-2008 3 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 3 5 31.3.2008 31.3.2008 PROPN iajs-2008 3 6 vol vol NOUN iajs-2008 3 7 . . PUNCT iajs-2008 4 1 31 31 NUM iajs-2008 5 1 ( ( PUNCT iajs-2008 5 2 3 3 NUM iajs-2008 5 3 ) ) PUNCT iajs-2008 5 4 2018 2018 NUM iajs-2008 5 5 " " PUNCT iajs-2008 5 6 cryptography cryptography NOUN iajs-2008 5 7 by by ADP iajs-2008 5 8 using"hosoya"polynomials using"hosoya"polynomial NOUN iajs-2008 5 9 for"graphs for"graph NOUN iajs-2008 5 10 groups group NOUN iajs-2008 5 11 of of ADP iajs-2008 5 12 integer integer PROPN iajs-2008 5 13 modulen modulen PROPN iajs-2008 5 14 and"dihedral and"dihedral ADJ iajs-2008 5 15 groups group NOUN iajs-2008 5 16 with'immersion"property with'immersion"property VERB iajs-2008 5 17 awni awni DET iajs-2008 5 18 m.gaftan m.gaftan PROPN iajs-2008 5 19 awnijeh@yahoo.com awnijeh@yahoo.com X iajs-2008 6 1 akram akram PROPN iajs-2008 6 2 s. s. PROPN iajs-2008 6 3 mohammed mohammed PROPN iajs-2008 6 4 akr_tel@tu.edu.iq akr_tel@tu.edu.iq PROPN iajs-2008 6 5 osama osama PROPN iajs-2008 6 6 h. h. PROPN iajs-2008 6 7 subhi subhi PROPN iajs-2008 6 8 osama.hameed67@gmail.com osama.hameed67@gmail.com PROPN iajs-2008 6 9 department department PROPN iajs-2008 6 10 of of ADP iajs-2008 6 11 mathematics mathematics PROPN iajs-2008 6 12 , , PUNCT iajs-2008 6 13 college college NOUN iajs-2008 6 14 of of ADP iajs-2008 6 15 computer computer NOUN iajs-2008 6 16 science science NOUN iajs-2008 6 17 and and CCONJ iajs-2008 6 18 mathematics mathematic NOUN iajs-2008 6 19 , , PUNCT iajs-2008 6 20 university university NOUN iajs-2008 6 21 of of ADP iajs-2008 6 22 tikrit tikrit NOUN iajs-2008 6 23 , , PUNCT iajs-2008 6 24 iraq iraq PROPN iajs-2008 6 25 . . PUNCT iajs-2008 6 26 received receive VERB iajs-2008 6 27 15 15 NUM iajs-2008 6 28 may may PROPN iajs-2008 6 29 2018 2018 NUM iajs-2008 6 30 , , PUNCT iajs-2008 6 31 accepted accept VERB iajs-2008 6 32 1 1 NUM iajs-2008 6 33 july july PROPN iajs-2008 6 34 2018 2018 NUM iajs-2008 6 35 , , PUNCT iajs-2008 6 36 published publish VERB iajs-2008 6 37 december december PROPN iajs-2008 6 38 2018 2018 NUM iajs-2008 6 39 " " PUNCT iajs-2008 6 40 " " PUNCT iajs-2008 6 41 abstract abstract ADV iajs-2008 6 42 in in ADP iajs-2008 6 43 this this DET iajs-2008 6 44 paper paper NOUN iajs-2008 6 45 we we PRON iajs-2008 6 46 used use VERB iajs-2008 6 47 hosoya hosoya NOUN iajs-2008 6 48 polynomial polynomial ADJ iajs-2008 6 49 ofgroupgraphs ofgroupgraph NOUN iajs-2008 6 50 z1, z1, NOUN iajs-2008 6 51 ... ... PUNCT iajs-2008 6 52 ,z26 ,z26 PUNCT iajs-2008 6 53 after after ADP iajs-2008 6 54 representing represent VERB iajs-2008 6 55 each each DET iajs-2008 6 56 group group NOUN iajs-2008 6 57 as as ADP iajs-2008 6 58 graph graph NOUN iajs-2008 6 59 and and CCONJ iajs-2008 6 60 using use VERB iajs-2008 6 61 dihedral dihedral ADJ iajs-2008 6 62 group group NOUN iajs-2008 6 63 to"encrypt to"encrypt NOUN iajs-2008 6 64 the the DET iajs-2008 6 65 plain plain ADJ iajs-2008 6 66 texts text NOUN iajs-2008 6 67 with with ADP iajs-2008 6 68 the the DET iajs-2008 6 69 immersion immersion NOUN iajs-2008 6 70 property property NOUN iajs-2008 6 71 which which PRON iajs-2008 6 72 provided provide VERB iajs-2008 6 73 hosoya hosoya NOUN iajs-2008 6 74 polynomial polynomial ADJ iajs-2008 6 75 to to PART iajs-2008 6 76 immerse immerse VERB iajs-2008 6 77 the the DET iajs-2008 6 78 cipher cipher ADJ iajs-2008 6 79 text text NOUN iajs-2008 6 80 in in ADP iajs-2008 6 81 another"cipher another"ciph ADJ iajs-2008 6 82 text text NOUN iajs-2008 6 83 to to PART iajs-2008 6 84 become become VERB iajs-2008 6 85 very"difficult very"difficult NOUN iajs-2008 6 86 to to PART iajs-2008 6 87 solve solve VERB iajs-2008 6 88 . . PUNCT iajs-2008 7 1 keywords keyword NOUN iajs-2008 7 2 : : PUNCT iajs-2008 8 1 hosoya"polynomials hosoya"polynomial NOUN iajs-2008 8 2 , , PUNCT iajs-2008 8 3 dihedral dihedral ADJ iajs-2008 8 4 groups group NOUN iajs-2008 8 5 , , PUNCT iajs-2008 8 6 cryptography cryptography NOUN iajs-2008 8 7 , , PUNCT iajs-2008 8 8 encryption"processes encryption"processe NOUN iajs-2008 8 9 , , PUNCT iajs-2008 8 10 " " PUNCT iajs-2008 8 11 decryption"processes decryption"processe NOUN iajs-2008 8 12 . . NOUN iajs-2008 9 1 1 1 X iajs-2008 9 2 . . X iajs-2008 9 3 introduction introduction NOUN iajs-2008 9 4 " " PUNCT iajs-2008 9 5 " " PUNCT iajs-2008 9 6 " " PUNCT iajs-2008 9 7 in in ADP iajs-2008 9 8 modern"times modern"time NOUN iajs-2008 9 9 , , PUNCT iajs-2008 9 10 cryptography cryptography NOUN iajs-2008 9 11 is be AUX iajs-2008 9 12 an an DET iajs-2008 9 13 important important ADJ iajs-2008 9 14 science science NOUN iajs-2008 9 15 in"algebra in"algebra NOUN iajs-2008 9 16 and and CCONJ iajs-2008 9 17 graph graph NOUN iajs-2008 9 18 theory theory NOUN iajs-2008 9 19 , , PUNCT iajs-2008 9 20 where"many where"many NOUN iajs-2008 9 21 articles article NOUN iajs-2008 9 22 linked link VERB iajs-2008 9 23 in"this in"this ADJ iajs-2008 9 24 side side NOUN iajs-2008 9 25 , , PUNCT iajs-2008 9 26 in"2014,"natalia"tokareva"[1 in"2014,"natalia"tokareva"[1 PROPN iajs-2008 9 27 ] ] PUNCT iajs-2008 9 28 linked link VERB iajs-2008 9 29 the the DET iajs-2008 9 30 graph graph NOUN iajs-2008 9 31 theory"and"cryptography,"with"conclusion"good"results"[2 theory"and"cryptography,"with"conclusion"good"results"[2 ADV iajs-2008 9 32 ] ] PUNCT iajs-2008 9 33 . . PUNCT iajs-2008 10 1 thomas thomas PROPN iajs-2008 10 2 risse risse PROPN iajs-2008 10 3 studied study VERB iajs-2008 10 4 this this DET iajs-2008 10 5 concept concept NOUN iajs-2008 10 6 and and CCONJ iajs-2008 10 7 gave give VERB iajs-2008 10 8 some some DET iajs-2008 10 9 important important ADJ iajs-2008 10 10 example example NOUN iajs-2008 10 11 , , PUNCT iajs-2008 10 12 simon"richard,"carlos"cid simon"richard,"carlos"cid PRON iajs-2008 10 13 and and CCONJ iajs-2008 10 14 ciaran ciaran PROPN iajs-2008 10 15 mullan mullan PROPN iajs-2008 10 16 in in ADP iajs-2008 10 17 [ [ X iajs-2008 10 18 3 3 NUM iajs-2008 10 19 ] ] PUNCT iajs-2008 10 20 , , PUNCT iajs-2008 10 21 presented present VERB iajs-2008 10 22 : : PUNCT iajs-2008 10 23 and and CCONJ iajs-2008 10 24 studied study VERB iajs-2008 10 25 : : PUNCT iajs-2008 10 26 of of ADP iajs-2008 10 27 group group NOUN iajs-2008 10 28 theoryand theoryand CCONJ iajs-2008 10 29 cryptography cryptography NOUN iajs-2008 10 30 where where SCONJ iajs-2008 10 31 they they PRON iajs-2008 10 32 get get VERB iajs-2008 10 33 good good ADJ iajs-2008 10 34 results result NOUN iajs-2008 10 35 . . PUNCT iajs-2008 11 1 the the DET iajs-2008 11 2 main main ADJ iajs-2008 11 3 goal goal NOUN iajs-2008 11 4 of of ADP iajs-2008 11 5 cryptography cryptography NOUN iajs-2008 11 6 is be AUX iajs-2008 11 7 to to PART iajs-2008 11 8 secure secure VERB iajs-2008 11 9 and and CCONJ iajs-2008 11 10 save save VERB iajs-2008 11 11 important important ADJ iajs-2008 11 12 messages message NOUN iajs-2008 11 13 by by ADP iajs-2008 11 14 special special ADJ iajs-2008 11 15 methods method NOUN iajs-2008 11 16 that that PRON iajs-2008 11 17 can can AUX iajs-2008 11 18 not not PART iajs-2008 11 19 be be AUX iajs-2008 11 20 easily easily ADV iajs-2008 11 21 identified identify VERB iajs-2008 11 22 . . PUNCT iajs-2008 12 1 this this DET iajs-2008 12 2 paper paper NOUN iajs-2008 12 3 includes include VERB iajs-2008 12 4 three three NUM iajs-2008 12 5 parts"the parts"the DET iajs-2008 12 6 first first ADJ iajs-2008 12 7 part part NOUN iajs-2008 12 8 is be AUX iajs-2008 12 9 the the DET iajs-2008 12 10 basic basic ADJ iajs-2008 12 11 concepts concept NOUN iajs-2008 12 12 . . PUNCT iajs-2008 13 1 "the "the DET iajs-2008 13 2 second second ADJ iajs-2008 13 3 partsuggested partsuggeste VERB iajs-2008 13 4 algorithm algorithm NOUN iajs-2008 13 5 of of ADP iajs-2008 13 6 the the DET iajs-2008 13 7 method method NOUN iajs-2008 13 8 . . PUNCT iajs-2008 13 9 " " PUNCT iajs-2008 14 1 " " PUNCT iajs-2008 14 2 the the DET iajs-2008 14 3 third third ADJ iajs-2008 14 4 part part NOUN iajs-2008 14 5 is be AUX iajs-2008 14 6 the the DET iajs-2008 14 7 application application NOUN iajs-2008 14 8 method method NOUN iajs-2008 14 9 . . PUNCT iajs-2008 15 1 concepts"basic concepts"basic ADJ iajs-2008 15 2 .2 .2 NUM iajs-2008 16 1 in in ADP iajs-2008 16 2 this this DET iajs-2008 16 3 section section NOUN iajs-2008 16 4 , , PUNCT iajs-2008 16 5 we we PRON iajs-2008 16 6 will will AUX iajs-2008 16 7 provide provide VERB iajs-2008 16 8 some some DET iajs-2008 16 9 basic basic ADJ iajs-2008 16 10 concepts concept NOUN iajs-2008 16 11 known know VERB iajs-2008 16 12 definition1 definition1 NOUN iajs-2008 17 1 [ [ X iajs-2008 17 2 4 4 X iajs-2008 17 3 ] ] PUNCT iajs-2008 17 4 consists consist VERB iajs-2008 17 5 of of ADP iajs-2008 17 6 the the DET iajs-2008 17 7 elements element NOUN iajs-2008 17 8 of of ADP iajs-2008 17 9 n n PROPN iajs-2008 17 10 ) ) PUNCT iajs-2008 17 11 be be AUX iajs-2008 17 12 a a DET iajs-2008 17 13 group group NOUN iajs-2008 17 14 of of ADP iajs-2008 17 15 integers integer NOUN iajs-2008 17 16 module module NOUN iajs-2008 17 17 n n NOUN iajs-2008 17 18 , , PUNCT iajs-2008 17 19 then then ADV iajs-2008 17 20 the the DET iajs-2008 17 21 graph graph NOUN iajs-2008 17 22 of of ADP iajs-2008 17 23 zn,+ zn,+ PROPN iajs-2008 17 24 nlet nlet NOUN iajs-2008 17 25 ( ( PUNCT iajs-2008 17 26 z z NOUN iajs-2008 17 27 b b SYM iajs-2008 18 1 = = X iajs-2008 18 2 e e PROPN iajs-2008 18 3 nas nas PROPN iajs-2008 18 4 avertices avertice NOUN iajs-2008 18 5 , , PUNCT iajs-2008 18 6 while while SCONJ iajs-2008 18 7 the the DET iajs-2008 18 8 edges edge NOUN iajs-2008 18 9 for for ADP iajs-2008 18 10 any any DET iajs-2008 18 11 two two NUM iajs-2008 18 12 distinict distinict NOUN iajs-2008 18 13 vertices vertex NOUN iajs-2008 18 14 a a PRON iajs-2008 18 15 , , PUNCT iajs-2008 18 16 b b NOUN iajs-2008 18 17 would would AUX iajs-2008 18 18 be be AUX iajs-2008 18 19 adjcent adjcent NOUN iajs-2008 18 20 if if SCONJ iajs-2008 18 21 a+ a+ PUNCT iajs-2008 18 22 nz nz PROPN iajs-2008 18 23 .nand .nand ADP iajs-2008 18 24 the the DET iajs-2008 18 25 element element NOUN iajs-2008 18 26 0 0 NUM iajs-2008 18 27 associated associate VERB iajs-2008 18 28 with with ADP iajs-2008 18 29 all all DET iajs-2008 18 30 elements element NOUN iajs-2008 18 31 of of ADP iajs-2008 18 32 z z PROPN iajs-2008 18 33 . . PUNCT iajs-2008 19 1 ne ne PROPN iajs-2008 19 2 is be AUX iajs-2008 19 3 the the DET iajs-2008 19 4 identity identity NOUN iajs-2008 19 5 element element NOUN iajs-2008 19 6 of of ADP iajs-2008 19 7 the the DET iajs-2008 19 8 groups group NOUN iajs-2008 19 9 z z NOUN iajs-2008 19 10 mathematics mathematic NOUN iajs-2008 20 1 | | ADV iajs-2008 20 2 152 152 NUM iajs-2008 20 3 ibn ibn PROPN iajs-2008 20 4 al al PROPN iajs-2008 20 5 - - PUNCT iajs-2008 20 6 haitham haitham PROPN iajs-2008 20 7 jour jour X iajs-2008 20 8 . . PROPN iajs-2008 21 1 for for ADP iajs-2008 21 2 pure pure ADJ iajs-2008 21 3 & & CCONJ iajs-2008 21 4 appl appl PROPN iajs-2008 21 5 . . PUNCT iajs-2008 22 1 sci sci PROPN iajs-2008 22 2 . . PROPN iajs-2008 22 3 ihjpas ihjpas PROPN iajs-2008 22 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 22 5 31.3.2008 31.3.2008 PROPN iajs-2008 22 6 vol vol NOUN iajs-2008 22 7 . . PUNCT iajs-2008 23 1 31 31 NUM iajs-2008 24 1 ( ( PUNCT iajs-2008 24 2 3 3 NUM iajs-2008 24 3 ) ) SYM iajs-2008 24 4 2018 2018 NUM iajs-2008 24 5 example example NOUN iajs-2008 24 6 2 2 NUM iajs-2008 24 7 : : PUNCT iajs-2008 24 8 group group NOUN iajs-2008 24 9 is be AUX iajs-2008 24 10 ) ) PUNCT iajs-2008 24 11 then then ADV iajs-2008 24 12 the the DET iajs-2008 24 13 graph graph NOUN iajs-2008 24 14 of of ADP iajs-2008 24 15 this8,+ this8,+ NOUN iajs-2008 24 16 8if 8if ADV iajs-2008 24 17 we we PRON iajs-2008 24 18 take take VERB iajs-2008 24 19 the the DET iajs-2008 24 20 group group NOUN iajs-2008 24 21 ( ( PUNCT iajs-2008 24 22 z z NOUN iajs-2008 24 23 0 0 NUM iajs-2008 24 24 4 4 NUM iajs-2008 24 25 5 5 NUM iajs-2008 24 26 3 3 NUM iajs-2008 24 27 6 6 NUM iajs-2008 24 28 2 2 NUM iajs-2008 24 29 7 7 NUM iajs-2008 24 30 1 1 NUM iajs-2008 24 31 8of 8of ADJ iajs-2008 24 32 z z NOUN iajs-2008 24 33 neutral neutral ADJ iajs-2008 24 34 graph graph NOUN iajs-2008 24 35 Β  Β  SPACE iajs-2008 24 36 .1 .1 NUM iajs-2008 24 37 figure figure NOUN iajs-2008 24 38 definition definition NOUN iajs-2008 24 39 3[5 3[5 NUM iajs-2008 24 40 ] ] PUNCT iajs-2008 24 41 " " PUNCT iajs-2008 24 42 let let VERB iajs-2008 24 43 g g PRON iajs-2008 24 44 be be AUX iajs-2008 24 45 a a DET iajs-2008 24 46 graph graph NOUN iajs-2008 24 47 , , PUNCT iajs-2008 24 48 then then ADV iajs-2008 24 49 the the DET iajs-2008 24 50 hosoya hosoya ADJ iajs-2008 24 51 polynomial polynomial NOUN iajs-2008 24 52 of of ADP iajs-2008 24 53 g g PROPN iajs-2008 24 54 is be AUX iajs-2008 24 55 h(g h(g NOUN iajs-2008 24 56 , , PUNCT iajs-2008 24 57 x)= x)= PROPN iajs-2008 25 1 d d X iajs-2008 25 2 g g PROPN iajs-2008 25 3 " " PUNCT iajs-2008 25 4 , , PUNCT iajs-2008 25 5 k k PROPN iajs-2008 25 6 𝑋 𝑋 PROPN iajs-2008 25 7 Β  Β  SPACE iajs-2008 25 8 where where SCONJ iajs-2008 25 9 d(g d(g PROPN iajs-2008 25 10 , , PUNCT iajs-2008 25 11 k k NOUN iajs-2008 25 12 ) ) PUNCT iajs-2008 25 13 is be AUX iajs-2008 25 14 the the DET iajs-2008 25 15 number number NOUN iajs-2008 25 16 of of ADP iajs-2008 25 17 vertices vertex NOUN iajs-2008 25 18 pairs pair NOUN iajs-2008 25 19 at at ADP iajs-2008 25 20 distance distance NOUN iajs-2008 25 21 k k PROPN iajs-2008 25 22 , , PUNCT iajs-2008 25 23 kβ‰₯0 kβ‰₯0 PROPN iajs-2008 25 24 , , PUNCT iajs-2008 25 25 dim(g dim(g PROPN iajs-2008 25 26 ) ) PUNCT iajs-2008 25 27 is be AUX iajs-2008 25 28 the the DET iajs-2008 25 29 diameter diameter NOUN iajs-2008 25 30 of of ADP iajs-2008 25 31 the the DET iajs-2008 25 32 geaph geaph ADJ iajs-2008 25 33 g g PROPN iajs-2008 25 34 and and CCONJ iajs-2008 25 35 x x X iajs-2008 25 36 is be AUX iajs-2008 25 37 the the DET iajs-2008 25 38 guide guide NOUN iajs-2008 25 39 of of ADP iajs-2008 25 40 the the DET iajs-2008 25 41 polynomial polynomial ADJ iajs-2008 25 42 . . PUNCT iajs-2008 26 1 example example NOUN iajs-2008 26 2 4 4 NUM iajs-2008 26 3 ) ) PUNCT iajs-2008 27 1 then then ADV iajs-2008 27 2 the the DET iajs-2008 27 3 simple simple ADJ iajs-2008 27 4 graph graph NOUN iajs-2008 27 5 of of ADP iajs-2008 27 6 this this DET iajs-2008 27 7 group group NOUN iajs-2008 27 8 is5,+ is5,+ PROPN iajs-2008 27 9 5if 5if NOUN iajs-2008 27 10 we we PRON iajs-2008 27 11 take take VERB iajs-2008 27 12 the the DET iajs-2008 27 13 group group NOUN iajs-2008 27 14 ( ( PUNCT iajs-2008 27 15 z z NOUN iajs-2008 27 16 0 0 NUM iajs-2008 27 17 3 3 NUM iajs-2008 27 18 2 2 NUM iajs-2008 27 19 4 4 NUM iajs-2008 27 20 1 1 NUM iajs-2008 27 21 5of 5of ADJ iajs-2008 27 22 z z NOUN iajs-2008 27 23 neutral neutral ADJ iajs-2008 27 24 graph graph NOUN iajs-2008 27 25 Β  Β  SPACE iajs-2008 27 26 .figure .figure ADJ iajs-2008 27 27 2 2 NUM iajs-2008 27 28 and and CCONJ iajs-2008 27 29 the the DET iajs-2008 27 30 hosoya hosoya ADJ iajs-2008 27 31 polynomial polynomial NOUN iajs-2008 27 32 of of ADP iajs-2008 27 33 this this DET iajs-2008 27 34 graph graph NOUN iajs-2008 27 35 is be AUX iajs-2008 27 36 5 5 NUM iajs-2008 27 37 + + PROPN iajs-2008 27 38 6x+4x 6x+4x NUM iajs-2008 27 39 mathematics mathematic NOUN iajs-2008 27 40 | | ADV iajs-2008 27 41 153 153 NUM iajs-2008 27 42 ibn ibn PROPN iajs-2008 27 43 al al PROPN iajs-2008 27 44 - - PUNCT iajs-2008 27 45 haitham haitham PROPN iajs-2008 27 46 jour jour X iajs-2008 27 47 . . PROPN iajs-2008 28 1 for for ADP iajs-2008 28 2 pure pure ADJ iajs-2008 28 3 & & CCONJ iajs-2008 28 4 appl appl PROPN iajs-2008 28 5 . . PUNCT iajs-2008 29 1 sci sci PROPN iajs-2008 29 2 . . PROPN iajs-2008 29 3 ihjpas ihjpas PROPN iajs-2008 29 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 29 5 31.3.2008 31.3.2008 PROPN iajs-2008 29 6 vol vol NOUN iajs-2008 29 7 . . PUNCT iajs-2008 30 1 31 31 NUM iajs-2008 31 1 ( ( PUNCT iajs-2008 31 2 3 3 NUM iajs-2008 31 3 ) ) SYM iajs-2008 31 4 2018 2018 NUM iajs-2008 31 5 definition definition NOUN iajs-2008 31 6 5 5 NUM iajs-2008 31 7 [ [ X iajs-2008 31 8 6 6 NUM iajs-2008 31 9 ] ] PUNCT iajs-2008 31 10 } } PUNCT iajs-2008 31 11 is be AUX iajs-2008 31 12 called call VERB iajs-2008 31 13 the the DET iajs-2008 31 14 dihedral dihedral ADJ iajs-2008 31 15 1 1 NUM iajs-2008 31 16 - - PUNCT iajs-2008 31 17 n n CCONJ iajs-2008 31 18 , , PUNCT iajs-2008 31 19 … … PUNCT iajs-2008 31 20 , , PUNCT iajs-2008 31 21 ba ba PROPN iajs-2008 31 22 2 2 NUM iajs-2008 31 23 , , PUNCT iajs-2008 31 24 b b PROPN iajs-2008 31 25 , , PUNCT iajs-2008 31 26 ba ba PROPN iajs-2008 31 27 , , PUNCT iajs-2008 31 28 ba ba PROPN iajs-2008 31 29 1 1 NUM iajs-2008 31 30 - - PUNCT iajs-2008 31 31 n n CCONJ iajs-2008 31 32 , , PUNCT iajs-2008 31 33 … … PUNCT iajs-2008 31 34 , , PUNCT iajs-2008 31 35 a a DET iajs-2008 31 36 2 2 NUM iajs-2008 31 37 , , PUNCT iajs-2008 31 38 a a PRON iajs-2008 31 39 , , PUNCT iajs-2008 31 40 a a DET iajs-2008 31 41 Β° Β° PROPN iajs-2008 31 42 { { PUNCT iajs-2008 31 43 a"dn="the a"dn="the NOUN iajs-2008 31 44 set set NOUN iajs-2008 31 45 has have VERB iajs-2008 31 46 the the DET iajs-2008 31 47 form form NOUN iajs-2008 31 48 " " PUNCT iajs-2008 31 49 group group NOUN iajs-2008 31 50 with with ADP iajs-2008 31 51 order order NOUN iajs-2008 31 52 2n 2n NUM iajs-2008 31 53 , , PUNCT iajs-2008 31 54 a a PRON iajs-2008 31 55 , , PUNCT iajs-2008 31 56 b b NOUN iajs-2008 31 57 the the DET iajs-2008 31 58 elements element NOUN iajs-2008 31 59 of of ADP iajs-2008 31 60 this this DET iajs-2008 31 61 group group NOUN iajs-2008 31 62 . . PUNCT iajs-2008 32 1 definition definition NOUN iajs-2008 32 2 6 6 NUM iajs-2008 32 3 [ [ X iajs-2008 32 4 7 7 X iajs-2008 32 5 ] ] PUNCT iajs-2008 32 6 " " PUNCT iajs-2008 32 7 cryptographyis cryptographyis ADP iajs-2008 32 8 the the DET iajs-2008 32 9 scientific scientific ADJ iajs-2008 32 10 and and CCONJ iajs-2008 32 11 practical practical ADJ iajs-2008 32 12 activity activity NOUN iajs-2008 32 13 associated associate VERB iajs-2008 32 14 with with ADP iajs-2008 32 15 developing develop VERB iajs-2008 32 16 of of ADP iajs-2008 32 17 cryptographic cryptographic ADJ iajs-2008 32 18 security security NOUN iajs-2008 32 19 facilities facility NOUN iajs-2008 32 20 of of ADP iajs-2008 32 21 information information NOUN iajs-2008 32 22 and and CCONJ iajs-2008 32 23 also also ADV iajs-2008 32 24 with with ADP iajs-2008 32 25 argumentation argumentation NOUN iajs-2008 32 26 of of ADP iajs-2008 32 27 their their PRON iajs-2008 32 28 cryptographic cryptographic ADJ iajs-2008 32 29 resistance resistance NOUN iajs-2008 32 30 " " PUNCT iajs-2008 32 31 . . PUNCT iajs-2008 33 1 definition definition NOUN iajs-2008 33 2 7 7 NUM iajs-2008 34 1 [ [ X iajs-2008 34 2 7 7 NUM iajs-2008 34 3 ] ] PUNCT iajs-2008 34 4 " " PUNCT iajs-2008 34 5 encryption encryption NOUN iajs-2008 34 6 is be AUX iajs-2008 34 7 the the DET iajs-2008 34 8 process process NOUN iajs-2008 34 9 of of ADP iajs-2008 34 10 disguising disguise VERB iajs-2008 34 11 a a DET iajs-2008 34 12 message message NOUN iajs-2008 34 13 in in ADP iajs-2008 34 14 such such DET iajs-2008 34 15 a a DET iajs-2008 34 16 way way NOUN iajs-2008 34 17 as as SCONJ iajs-2008 34 18 to to PART iajs-2008 34 19 hide hide VERB iajs-2008 34 20 its its PRON iajs-2008 34 21 substance substance NOUN iajs-2008 34 22 ( ( PUNCT iajs-2008 34 23 the the DET iajs-2008 34 24 process process NOUN iajs-2008 34 25 of of ADP iajs-2008 34 26 change change NOUN iajs-2008 34 27 the the DET iajs-2008 34 28 plaintext plaintext NOUN iajs-2008 34 29 into into ADP iajs-2008 34 30 cipher cipher ADJ iajs-2008 34 31 text text NOUN iajs-2008 34 32 by by ADP iajs-2008 34 33 virtue virtue NOUN iajs-2008 34 34 of of ADP iajs-2008 34 35 cipher cipher ADJ iajs-2008 34 36 ) ) PUNCT iajs-2008 34 37 " " PUNCT iajs-2008 34 38 . . PUNCT iajs-2008 35 1 definition definition NOUN iajs-2008 35 2 8 8 NUM iajs-2008 35 3 [ [ X iajs-2008 35 4 7 7 X iajs-2008 35 5 ] ] PUNCT iajs-2008 35 6 " " PUNCT iajs-2008 35 7 decryption decryption NOUN iajs-2008 35 8 is be AUX iajs-2008 35 9 the the DET iajs-2008 35 10 process process NOUN iajs-2008 35 11 of of ADP iajs-2008 35 12 turning turn VERB iajs-2008 35 13 a a DET iajs-2008 35 14 cipher cipher ADJ iajs-2008 35 15 text text NOUN iajs-2008 35 16 into into ADP iajs-2008 35 17 the the DET iajs-2008 35 18 plain plain ADJ iajs-2008 35 19 text text NOUN iajs-2008 35 20 " " PUNCT iajs-2008 35 21 . . PUNCT iajs-2008 36 1 definition definition NOUN iajs-2008 36 2 9 9 NUM iajs-2008 37 1 [ [ SYM iajs-2008 37 2 8 8 NUM iajs-2008 37 3 ] ] X iajs-2008 37 4 ⎣ ⎣ ADV iajs-2008 37 5 ⎒ ⎒ NOUN iajs-2008 37 6 ⎒ ⎒ NOUN iajs-2008 37 7 ⎒ ⎒ NOUN iajs-2008 37 8 ⎒ ⎒ NOUN iajs-2008 37 9 ⎒ ⎒ NOUN iajs-2008 37 10 ⎑ ⎑ NOUN iajs-2008 37 11 π‘˜n π‘˜n VERB iajs-2008 37 12 π‘˜π‘› π‘˜π‘› INTJ iajs-2008 37 13 1 1 NUM iajs-2008 37 14 . . PUNCT iajs-2008 37 15 . . PUNCT iajs-2008 37 16 . . PUNCT iajs-2008 38 1 π‘˜2 π‘˜2 PROPN iajs-2008 38 2 π‘˜1 π‘˜1 PROPN iajs-2008 38 3 ⎦ ⎦ NOUN iajs-2008 38 4 βŽ₯ βŽ₯ PROPN iajs-2008 38 5 βŽ₯ βŽ₯ PROPN iajs-2008 38 6 βŽ₯ βŽ₯ PROPN iajs-2008 38 7 βŽ₯ βŽ₯ PROPN iajs-2008 38 8 βŽ₯ βŽ₯ PROPN iajs-2008 38 9 ⎀ ⎀ PROPN iajs-2008 39 1 = = PUNCT iajs-2008 39 2 rthe rthe INTJ iajs-2008 39 3 adverse adverse ADJ iajs-2008 39 4 of of ADP iajs-2008 39 5 v v NOUN iajs-2008 39 6 is be AUX iajs-2008 39 7 vbe vbe PROPN iajs-2008 39 8 a a DET iajs-2008 39 9 vector vector NOUN iajs-2008 39 10 , , PUNCT iajs-2008 39 11 then then ADV iajs-2008 39 12 ⎣ ⎣ ADV iajs-2008 39 13 ⎒ ⎒ NOUN iajs-2008 39 14 ⎒ ⎒ NOUN iajs-2008 39 15 ⎒ ⎒ NOUN iajs-2008 39 16 ⎒ ⎒ NOUN iajs-2008 39 17 ⎒ ⎒ NOUN iajs-2008 39 18 ⎑ ⎑ NOUN iajs-2008 39 19 π‘˜1 π‘˜1 PROPN iajs-2008 39 20 π‘˜2 π‘˜2 PROPN iajs-2008 39 21 . . PUNCT iajs-2008 39 22 . . PUNCT iajs-2008 39 23 . . PUNCT iajs-2008 40 1 π‘›π‘˜1 π‘›π‘˜1 PROPN iajs-2008 40 2 π‘›π‘˜βŽ¦ π‘›π‘˜βŽ¦ PROPN iajs-2008 40 3 βŽ₯ βŽ₯ PROPN iajs-2008 41 1 βŽ₯ βŽ₯ PROPN iajs-2008 41 2 βŽ₯ βŽ₯ PROPN iajs-2008 41 3 βŽ₯ βŽ₯ PROPN iajs-2008 41 4 βŽ₯ βŽ₯ PROPN iajs-2008 41 5 ⎀ ⎀ PROPN iajs-2008 41 6 = = AUX iajs-2008 41 7 let let VERB iajs-2008 41 8 v v PRON iajs-2008 41 9 definition definition NOUN iajs-2008 41 10 10 10 NUM iajs-2008 41 11 [ [ NOUN iajs-2008 41 12 8 8 NUM iajs-2008 41 13 ] ] X iajs-2008 41 14 ⎣ ⎣ ADV iajs-2008 41 15 ⎒ ⎒ NOUN iajs-2008 41 16 ⎒ ⎒ NOUN iajs-2008 41 17 ⎒ ⎒ NOUN iajs-2008 41 18 ⎒ ⎒ NOUN iajs-2008 41 19 ⎑ ⎑ NOUN iajs-2008 41 20 " " PUNCT iajs-2008 41 21 π‘Š0 π‘Š0 PROPN iajs-2008 41 22 " " PUNCT iajs-2008 41 23 π‘Š1 π‘Š1 PROPN iajs-2008 41 24 . . PUNCT iajs-2008 41 25 . . PUNCT iajs-2008 41 26 . . PUNCT iajs-2008 42 1 " " PUNCT iajs-2008 42 2 π‘Šπ‘› π‘Šπ‘› PROPN iajs-2008 42 3 1⎦ 1⎦ PROPN iajs-2008 42 4 βŽ₯ βŽ₯ PROPN iajs-2008 42 5 βŽ₯ βŽ₯ PROPN iajs-2008 42 6 βŽ₯ βŽ₯ PROPN iajs-2008 42 7 βŽ₯ βŽ₯ PROPN iajs-2008 42 8 ⎀ ⎀ PROPN iajs-2008 42 9 = = PUNCT iajs-2008 42 10 be be AUX iajs-2008 42 11 an an DET iajs-2008 42 12 element element NOUN iajs-2008 42 13 in in ADP iajs-2008 42 14 w w PROPN iajs-2008 42 15 , , PUNCT iajs-2008 42 16 let let VERB iajs-2008 42 17 w w INTJ iajs-2008 42 18 ke ke VERB iajs-2008 42 19 a a DET iajs-2008 42 20 vector vector NOUN iajs-2008 42 21 and and CCONJ iajs-2008 42 22 let let VERB iajs-2008 42 23 wb wb VERB iajs-2008 42 24 ” " PUNCT iajs-2008 42 25 .k-1 .k-1 VERB iajs-2008 42 26 - - PUNCT iajs-2008 42 27 n n CCONJ iajs-2008 42 28 = = NOUN iajs-2008 42 29 wr wr NOUN iajs-2008 42 30 kw"iskw"hen kw"iskw"hen NOUN iajs-2008 42 31 the the DET iajs-2008 42 32 adverse adverse ADJ iajs-2008 42 33 of of ADP iajs-2008 42 34 t t PROPN iajs-2008 42 35 2.1 2.1 NUM iajs-2008 42 36 . . PUNCT iajs-2008 43 1 the the DET iajs-2008 43 2 suggested suggest VERB iajs-2008 43 3 algorithm algorithm NOUN iajs-2008 43 4 in in ADP iajs-2008 43 5 this this DET iajs-2008 43 6 section section NOUN iajs-2008 43 7 we we PRON iajs-2008 43 8 introduce introduce VERB iajs-2008 43 9 two two NUM iajs-2008 43 10 algorithms algorithm NOUN iajs-2008 43 11 , , PUNCT iajs-2008 43 12 the the DET iajs-2008 43 13 first first ADJ iajs-2008 43 14 is be AUX iajs-2008 43 15 algorithm algorithm NOUN iajs-2008 43 16 of of ADP iajs-2008 43 17 encryption encryption NOUN iajs-2008 43 18 process process NOUN iajs-2008 43 19 and and CCONJ iajs-2008 43 20 the the DET iajs-2008 43 21 second second ADJ iajs-2008 43 22 is be AUX iajs-2008 43 23 algorithm algorithm NOUN iajs-2008 43 24 of of ADP iajs-2008 43 25 decryption decryption NOUN iajs-2008 43 26 process process NOUN iajs-2008 43 27 note note VERB iajs-2008 43 28 11 11 NUM iajs-2008 43 29 " " PUNCT iajs-2008 43 30 " " PUNCT iajs-2008 43 31 we we PRON iajs-2008 43 32 consider consider VERB iajs-2008 43 33 the the DET iajs-2008 43 34 blank blank NOUN iajs-2008 43 35 is be AUX iajs-2008 43 36 character character NOUN iajs-2008 43 37 , , PUNCT iajs-2008 43 38 that that PRON iajs-2008 43 39 is be AUX iajs-2008 43 40 the the DET iajs-2008 43 41 alphabet alphabet NOUN iajs-2008 43 42 is be AUX iajs-2008 43 43 27 27 NUM iajs-2008 43 44 letters letter NOUN iajs-2008 43 45 and and CCONJ iajs-2008 43 46 we we PRON iajs-2008 43 47 used use VERB iajs-2008 43 48 the the DET iajs-2008 43 49 function function NOUN iajs-2008 43 50 ( ( PUNCT iajs-2008 43 51 mod mod PROPN iajs-2008 43 52 28 28 NUM iajs-2008 43 53 ) ) PUNCT iajs-2008 43 54 . . PUNCT iajs-2008 44 1 i i PRON iajs-2008 44 2 algorithm algorithm NOUN iajs-2008 44 3 of of ADP iajs-2008 44 4 encryption encryption NOUN iajs-2008 44 5 process process NOUN iajs-2008 44 6 .26, .26, PROPN iajs-2008 44 7 ... ... PUNCT iajs-2008 44 8 ,z2z1,converts ,z2z1,converts PUNCT iajs-2008 44 9 each each DET iajs-2008 44 10 letter letter NOUN iajs-2008 44 11 with with ADP iajs-2008 44 12 corresponding correspond VERB iajs-2008 44 13 groups group NOUN iajs-2008 44 14 z z X iajs-2008 44 15 – – PUNCT iajs-2008 44 16 1 1 NUM iajs-2008 44 17 .as .as PUNCT iajs-2008 44 18 a a DET iajs-2008 44 19 graph graph NOUN iajs-2008 44 20 26, 26, NUM iajs-2008 44 21 ... ... PUNCT iajs-2008 44 22 ,z2z1,representing ,z2z1,representing PUNCT iajs-2008 44 23 each each DET iajs-2008 44 24 groups group NOUN iajs-2008 44 25 z-2 z-2 NOUN iajs-2008 44 26 3 3 NUM iajs-2008 44 27 - - PUNCT iajs-2008 44 28 extraction extraction NOUN iajs-2008 44 29 of of ADP iajs-2008 44 30 hosoya hosoya NOUN iajs-2008 44 31 polynomial polynomial NOUN iajs-2008 44 32 for for ADP iajs-2008 44 33 all all DET iajs-2008 44 34 groups group NOUN iajs-2008 44 35 graphs graph NOUN iajs-2008 44 36 . . PUNCT iajs-2008 45 1 mathematics mathematic NOUN iajs-2008 45 2 | | ADV iajs-2008 45 3 154 154 NUM iajs-2008 45 4 ibn ibn PROPN iajs-2008 45 5 al al PROPN iajs-2008 45 6 - - PUNCT iajs-2008 45 7 haitham haitham PROPN iajs-2008 45 8 jour jour X iajs-2008 45 9 . . PROPN iajs-2008 46 1 for for ADP iajs-2008 46 2 pure pure ADJ iajs-2008 46 3 & & CCONJ iajs-2008 46 4 appl appl PROPN iajs-2008 46 5 . . PUNCT iajs-2008 47 1 sci sci PROPN iajs-2008 47 2 . . PROPN iajs-2008 47 3 ihjpas ihjpas PROPN iajs-2008 47 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 47 5 31.3.2008 31.3.2008 PROPN iajs-2008 47 6 vol vol NOUN iajs-2008 47 7 . . PUNCT iajs-2008 48 1 31 31 NUM iajs-2008 49 1 ( ( PUNCT iajs-2008 49 2 3 3 NUM iajs-2008 49 3 ) ) PUNCT iajs-2008 49 4 2018 2018 NUM iajs-2008 49 5 4 4 NUM iajs-2008 49 6 – – PUNCT iajs-2008 49 7 take take VERB iajs-2008 49 8 positive positive ADJ iajs-2008 49 9 integer integer NOUN iajs-2008 49 10 number"n number"n NOUN iajs-2008 49 11 . . PUNCT iajs-2008 50 1 5 5 NUM iajs-2008 50 2 – – PUNCT iajs-2008 50 3 " " PUNCT iajs-2008 50 4 divide divide VERB iajs-2008 50 5 the the DET iajs-2008 50 6 text text NOUN iajs-2008 50 7 with with ADP iajs-2008 50 8 length length NOUN iajs-2008 50 9 2n 2n NUM iajs-2008 50 10 by by ADP iajs-2008 50 11 using use VERB iajs-2008 50 12 dihedral dihedral ADJ iajs-2008 50 13 group group NOUN iajs-2008 50 14 as as ADP iajs-2008 50 15 : : PUNCT iajs-2008 50 16 " " PUNCT iajs-2008 50 17 w= w= NOUN iajs-2008 50 18 ⎣ ⎣ X iajs-2008 50 19 ⎒ ⎒ NOUN iajs-2008 50 20 ⎒ ⎒ NOUN iajs-2008 50 21 ⎒ ⎒ NOUN iajs-2008 50 22 ⎒ ⎒ NOUN iajs-2008 50 23 ⎑ ⎑ NOUN iajs-2008 50 24 " " PUNCT iajs-2008 50 25 π‘Š1 π‘Š1 PROPN iajs-2008 50 26 " " PUNCT iajs-2008 50 27 π‘Š2 π‘Š2 PROPN iajs-2008 50 28 . . PUNCT iajs-2008 50 29 . . PUNCT iajs-2008 50 30 . . PUNCT iajs-2008 51 1 " " PUNCT iajs-2008 51 2 π‘Š2π‘›βŽ¦ π‘Š2π‘›βŽ¦ PROPN iajs-2008 51 3 βŽ₯ βŽ₯ PROPN iajs-2008 51 4 βŽ₯ βŽ₯ PROPN iajs-2008 51 5 βŽ₯ βŽ₯ PROPN iajs-2008 51 6 βŽ₯ βŽ₯ PROPN iajs-2008 51 7 ⎀ ⎀ PROPN iajs-2008 51 8 = = PUNCT iajs-2008 51 9 𝑼 𝑼 PROPN iajs-2008 51 10 𝑽 𝑽 PROPN iajs-2008 51 11 where where SCONJ iajs-2008 51 12 " " PUNCT iajs-2008 51 13 u= u= ADV iajs-2008 51 14 ⎣ ⎣ ADV iajs-2008 51 15 ⎒ ⎒ NOUN iajs-2008 51 16 ⎒ ⎒ NOUN iajs-2008 51 17 ⎒ ⎒ NOUN iajs-2008 51 18 ⎒ ⎒ NOUN iajs-2008 51 19 ⎑ ⎑ NOUN iajs-2008 51 20 " " PUNCT iajs-2008 51 21 π‘Š1 π‘Š1 PROPN iajs-2008 51 22 π‘Š2 π‘Š2 PROPN iajs-2008 51 23 . . PUNCT iajs-2008 51 24 . . PUNCT iajs-2008 51 25 . . PUNCT iajs-2008 52 1 " " PUNCT iajs-2008 52 2 π‘Šπ‘›βŽ¦ π‘Šπ‘›βŽ¦ NOUN iajs-2008 52 3 βŽ₯ βŽ₯ PROPN iajs-2008 52 4 βŽ₯ βŽ₯ PROPN iajs-2008 52 5 βŽ₯ βŽ₯ PROPN iajs-2008 52 6 βŽ₯ βŽ₯ PROPN iajs-2008 52 7 ⎀ ⎀ PROPN iajs-2008 52 8 " " PUNCT iajs-2008 52 9 and and CCONJ iajs-2008 52 10 v= v= VERB iajs-2008 52 11 ⎣ ⎣ ADJ iajs-2008 52 12 ⎒ ⎒ NOUN iajs-2008 52 13 ⎒ ⎒ NOUN iajs-2008 52 14 ⎒ ⎒ NOUN iajs-2008 52 15 ⎑ ⎑ NOUN iajs-2008 52 16 " " PUNCT iajs-2008 52 17 π‘Šπ‘› π‘Šπ‘› PROPN iajs-2008 52 18 1 1 NUM iajs-2008 52 19 . . PUNCT iajs-2008 52 20 . . PUNCT iajs-2008 52 21 . . PUNCT iajs-2008 53 1 " " PUNCT iajs-2008 53 2 π‘Š2𝑛 π‘Š2𝑛 PROPN iajs-2008 53 3 ⎦ ⎦ NOUN iajs-2008 53 4 βŽ₯ βŽ₯ PROPN iajs-2008 53 5 βŽ₯ βŽ₯ PROPN iajs-2008 53 6 βŽ₯ βŽ₯ PROPN iajs-2008 53 7 ⎀ ⎀ PROPN iajs-2008 53 8 6 6 NUM iajs-2008 53 9 – – PUNCT iajs-2008 53 10 " " PUNCT iajs-2008 53 11 apply apply VERB iajs-2008 53 12 the the DET iajs-2008 53 13 dihedral dihedral ADJ iajs-2008 53 14 operations operation NOUN iajs-2008 53 15 ( ( PUNCT iajs-2008 53 16 x x X iajs-2008 53 17 , , PUNCT iajs-2008 53 18 y y PROPN iajs-2008 53 19 ): ): PUNCT iajs-2008 53 20 .1 .1 PROPN iajs-2008 53 21 - - PUNCT iajs-2008 53 22 k=0,1 k=0,1 NOUN iajs-2008 53 23 … … PUNCT iajs-2008 53 24 n n CCONJ iajs-2008 53 25 " " PUNCT iajs-2008 53 26 π‘₯ π‘₯ PROPN iajs-2008 53 27 " " PUNCT iajs-2008 53 28 𝑒 𝑒 X iajs-2008 53 29 π‘šπ‘œπ‘‘ π‘šπ‘œπ‘‘ NOUN iajs-2008 53 30 28 28 NUM iajs-2008 53 31 𝑦π‘₯ 𝑦π‘₯ PROPN iajs-2008 53 32 " " PUNCT iajs-2008 53 33 𝑣 𝑣 DET iajs-2008 53 34 π‘šπ‘œπ‘‘ π‘šπ‘œπ‘‘ NOUN iajs-2008 53 35 28 28 NUM iajs-2008 53 36 = = NUM iajs-2008 53 37 wnd wnd PROPN iajs-2008 53 38 " " PUNCT iajs-2008 53 39 ⎣ ⎣ ADJ iajs-2008 53 40 ⎒ ⎒ NOUN iajs-2008 53 41 ⎒ ⎒ NOUN iajs-2008 53 42 ⎒ ⎒ NOUN iajs-2008 53 43 ⎒ ⎒ NOUN iajs-2008 53 44 ⎒ ⎒ NOUN iajs-2008 53 45 ⎒ ⎒ NOUN iajs-2008 53 46 ⎒ ⎒ NOUN iajs-2008 53 47 ⎒ ⎒ NOUN iajs-2008 53 48 ⎒ ⎒ NOUN iajs-2008 53 49 ⎒ ⎒ NOUN iajs-2008 53 50 ⎑ ⎑ NOUN iajs-2008 53 51 ⎣ ⎣ ADJ iajs-2008 53 52 ⎒ ⎒ NOUN iajs-2008 53 53 ⎒ ⎒ NOUN iajs-2008 53 54 ⎒ ⎒ NOUN iajs-2008 53 55 ⎒ ⎒ NOUN iajs-2008 53 56 ⎑ ⎑ NOUN iajs-2008 53 57 0 0 NUM iajs-2008 53 58 1 1 NUM iajs-2008 53 59 1 1 NUM iajs-2008 53 60 1 1 NUM iajs-2008 53 61 1 1 NUM iajs-2008 53 62 1 1 NUM iajs-2008 53 63 . . PUNCT iajs-2008 53 64 . . PUNCT iajs-2008 53 65 . . PUNCT iajs-2008 53 66 . . PUNCT iajs-2008 53 67 . . PUNCT iajs-2008 53 68 . . PUNCT iajs-2008 53 69 . . PUNCT iajs-2008 53 70 . . PUNCT iajs-2008 53 71 . . PUNCT iajs-2008 54 1 𝑛 𝑛 PRON iajs-2008 54 2 1 1 NUM iajs-2008 54 3 1 1 NUM iajs-2008 54 4 1⎦ 1⎦ PROPN iajs-2008 54 5 βŽ₯ βŽ₯ PROPN iajs-2008 54 6 βŽ₯ βŽ₯ PROPN iajs-2008 54 7 βŽ₯ βŽ₯ PROPN iajs-2008 54 8 βŽ₯ βŽ₯ PROPN iajs-2008 54 9 ⎀ ⎀ PROPN iajs-2008 54 10 " " PUNCT iajs-2008 54 11 β„Žπ‘œπ‘ π‘œπ‘¦π‘Ž β„Žπ‘œπ‘ π‘œπ‘¦π‘Ž NOUN iajs-2008 54 12 π‘π‘œπ‘™π‘¦π‘›π‘œπ‘šπ‘–π‘Žπ‘™ π‘π‘œπ‘™π‘¦π‘›π‘œπ‘šπ‘–π‘Žπ‘™ ADV iajs-2008 54 13 π‘œπ‘“ π‘œπ‘“ ADP iajs-2008 54 14 𝑍𝑖 𝑍𝑖 PROPN iajs-2008 54 15 π‘£π‘’π‘π‘‘π‘œπ‘Ÿπ‘  π‘£π‘’π‘π‘‘π‘œπ‘Ÿπ‘  ADJ iajs-2008 54 16 ⎝ ⎝ PUNCT iajs-2008 54 17 ⎜⎜ ⎜⎜ NOUN iajs-2008 54 18 βŽ› βŽ› NOUN iajs-2008 55 1 ⎣ ⎣ ADJ iajs-2008 55 2 ⎒ ⎒ NOUN iajs-2008 55 3 ⎒ ⎒ NOUN iajs-2008 55 4 ⎒ ⎒ NOUN iajs-2008 55 5 ⎒ ⎒ NOUN iajs-2008 55 6 ⎑ ⎑ NOUN iajs-2008 55 7 0 0 NUM iajs-2008 55 8 1 1 NUM iajs-2008 55 9 1 1 NUM iajs-2008 55 10 1 1 NUM iajs-2008 55 11 1 1 NUM iajs-2008 55 12 1 1 NUM iajs-2008 55 13 . . PUNCT iajs-2008 55 14 . . PUNCT iajs-2008 55 15 . . PUNCT iajs-2008 55 16 . . PUNCT iajs-2008 55 17 . . PUNCT iajs-2008 55 18 . . PUNCT iajs-2008 55 19 . . PUNCT iajs-2008 55 20 . . PUNCT iajs-2008 55 21 . . PUNCT iajs-2008 56 1 𝑛 𝑛 PRON iajs-2008 56 2 1 1 NUM iajs-2008 56 3 1 1 NUM iajs-2008 56 4 1⎦ 1⎦ PROPN iajs-2008 56 5 βŽ₯ βŽ₯ PROPN iajs-2008 56 6 βŽ₯ βŽ₯ PROPN iajs-2008 56 7 βŽ₯ βŽ₯ PROPN iajs-2008 56 8 βŽ₯ βŽ₯ PROPN iajs-2008 56 9 ⎀ ⎀ PROPN iajs-2008 56 10 " " PUNCT iajs-2008 56 11 β„Žπ‘œπ‘ π‘œπ‘¦π‘Ž β„Žπ‘œπ‘ π‘œπ‘¦π‘Ž NOUN iajs-2008 56 12 π‘π‘œπ‘™π‘¦π‘›π‘œπ‘šπ‘–π‘Žπ‘™ π‘π‘œπ‘™π‘¦π‘›π‘œπ‘šπ‘–π‘Žπ‘™ ADV iajs-2008 56 13 π‘œπ‘“ π‘œπ‘“ ADP iajs-2008 56 14 𝑍𝑖 𝑍𝑖 PROPN iajs-2008 56 15 π‘£π‘’π‘π‘‘π‘œπ‘Ÿπ‘  π‘£π‘’π‘π‘‘π‘œπ‘Ÿπ‘  ADJ iajs-2008 56 16 ⎠ ⎠ PUNCT iajs-2008 56 17 ⎟⎟ ⎟⎟ NOUN iajs-2008 56 18 ⎞ ⎞ PROPN iajs-2008 56 19 ⎦ ⎦ NOUN iajs-2008 56 20 βŽ₯ βŽ₯ PROPN iajs-2008 56 21 βŽ₯ βŽ₯ PROPN iajs-2008 56 22 βŽ₯ βŽ₯ PROPN iajs-2008 56 23 βŽ₯ βŽ₯ PROPN iajs-2008 56 24 βŽ₯ βŽ₯ PROPN iajs-2008 56 25 βŽ₯ βŽ₯ PROPN iajs-2008 56 26 βŽ₯ βŽ₯ PROPN iajs-2008 56 27 βŽ₯ βŽ₯ PROPN iajs-2008 56 28 βŽ₯ βŽ₯ PROPN iajs-2008 56 29 βŽ₯ βŽ₯ PROPN iajs-2008 56 30 ⎀ ⎀ PROPN iajs-2008 56 31 = = PUNCT iajs-2008 56 32 wnd wnd VERB iajs-2008 56 33 7 7 NUM iajs-2008 56 34 - - PUNCT iajs-2008 56 35 to to PART iajs-2008 56 36 improve improve VERB iajs-2008 56 37 this this DET iajs-2008 56 38 method method NOUN iajs-2008 56 39 we we PRON iajs-2008 56 40 must must AUX iajs-2008 56 41 encryption encryption VERB iajs-2008 56 42 the the DET iajs-2008 56 43 first first ADJ iajs-2008 56 44 letter letter NOUN iajs-2008 56 45 because because SCONJ iajs-2008 56 46 the the DET iajs-2008 56 47 first first ADJ iajs-2008 56 48 letter letter NOUN iajs-2008 56 49 by by ADP iajs-2008 56 50 using use VERB iajs-2008 56 51 this this DET iajs-2008 56 52 method method NOUN iajs-2008 56 53 stay stay VERB iajs-2008 56 54 the the DET iajs-2008 56 55 same same ADJ iajs-2008 56 56 letter letter NOUN iajs-2008 56 57 always always ADV iajs-2008 56 58 then then ADV iajs-2008 56 59 we we PRON iajs-2008 56 60 encryption encryption VERB iajs-2008 56 61 the the DET iajs-2008 56 62 first first ADJ iajs-2008 56 63 letter letter NOUN iajs-2008 56 64 by by ADP iajs-2008 56 65 this this DET iajs-2008 56 66 equation equation NOUN iajs-2008 56 67 + + NOUN iajs-2008 56 68 ( ( PUNCT iajs-2008 56 69 2*n 2*n NUM iajs-2008 56 70 ) ) PUNCT iajs-2008 56 71 mod mod NOUN iajs-2008 57 1 28i= 28i= PROPN iajs-2008 57 2 w w PROPN iajs-2008 57 3 ic ic PROPN iajs-2008 57 4 iialgorithm iialgorithm PROPN iajs-2008 57 5 of of ADP iajs-2008 57 6 decryption decryption NOUN iajs-2008 57 7 process process NOUN iajs-2008 57 8 first first ADV iajs-2008 57 9 decryption decryption NOUN iajs-2008 57 10 the the DET iajs-2008 57 11 first first ADJ iajs-2008 57 12 letter letter NOUN iajs-2008 57 13 by by ADP iajs-2008 57 14 the the DET iajs-2008 57 15 equation equation NOUN iajs-2008 57 16 ( ( PUNCT iajs-2008 57 17 1 1 NUM iajs-2008 57 18 ): ): PUNCT iajs-2008 57 19 ( ( PUNCT iajs-2008 57 20 2*n 2*n NUM iajs-2008 57 21 ) ) PUNCT iajs-2008 57 22 mod mod NOUN iajs-2008 58 1 28 28 NUM iajs-2008 58 2 - - SYM iajs-2008 58 3 1 1 NUM iajs-2008 58 4 = = NOUN iajs-2008 58 5 c1w c1w NOUN iajs-2008 58 6 " " PUNCT iajs-2008 58 7 2for 2for DET iajs-2008 58 8 other other ADJ iajs-2008 58 9 letter letter NOUN iajs-2008 58 10 using use VERB iajs-2008 58 11 : : PUNCT iajs-2008 58 12 1 1 NUM iajs-2008 58 13 - - PUNCT iajs-2008 58 14 k=0,1 k=0,1 NOUN iajs-2008 58 15 … … PUNCT iajs-2008 58 16 n n CCONJ iajs-2008 58 17 " " PUNCT iajs-2008 58 18 π‘₯ π‘₯ PRON iajs-2008 58 19 𝑒 𝑒 PROPN iajs-2008 58 20 π‘šπ‘œπ‘‘ π‘šπ‘œπ‘‘ NOUN iajs-2008 58 21 28 28 NUM iajs-2008 58 22 " " PUNCT iajs-2008 58 23 𝑦π‘₯ 𝑦π‘₯ PROPN iajs-2008 58 24 𝑣 𝑣 PRON iajs-2008 58 25 π‘šπ‘œπ‘‘ π‘šπ‘œπ‘‘ NOUN iajs-2008 58 26 28 28 NUM iajs-2008 58 27 = = NUM iajs-2008 58 28 cnd cnd X iajs-2008 58 29 ' ' PART iajs-2008 58 30 note note NOUN iajs-2008 58 31 12 12 NUM iajs-2008 58 32 " " PUNCT iajs-2008 58 33 if if SCONJ iajs-2008 58 34 the"number"0"appears the"number"0"appear NOUN iajs-2008 58 35 , , PUNCT iajs-2008 58 36 then"it"always"takes"the"code then"it"always"takes"the"code NUM iajs-2008 58 37 " " PUNCT iajs-2008 58 38 # # NOUN iajs-2008 58 39 : : PUNCT iajs-2008 58 40 note note NOUN iajs-2008 58 41 13 13 NUM iajs-2008 58 42 after after ADP iajs-2008 58 43 the the DET iajs-2008 58 44 decryption decryption NOUN iajs-2008 58 45 , , PUNCT iajs-2008 58 46 we we PRON iajs-2008 58 47 always always ADV iajs-2008 58 48 take take VERB iajs-2008 58 49 the the DET iajs-2008 58 50 first first ADJ iajs-2008 58 51 letter letter NOUN iajs-2008 58 52 and and CCONJ iajs-2008 58 53 then then ADV iajs-2008 58 54 we we PRON iajs-2008 58 55 cancel cancel VERB iajs-2008 58 56 two two NUM iajs-2008 58 57 letters letter NOUN iajs-2008 58 58 after after ADP iajs-2008 58 59 it it PRON iajs-2008 58 60 and and CCONJ iajs-2008 58 61 take take VERB iajs-2008 58 62 the the DET iajs-2008 58 63 fourth fourth ADJ iajs-2008 58 64 letter letter NOUN iajs-2008 58 65 and and CCONJ iajs-2008 58 66 cancel cancel VERB iajs-2008 58 67 two two NUM iajs-2008 58 68 letters letter NOUN iajs-2008 58 69 after after ADP iajs-2008 58 70 it it PRON iajs-2008 58 71 and and CCONJ iajs-2008 58 72 so so ADV iajs-2008 58 73 on on ADV iajs-2008 58 74 because because SCONJ iajs-2008 58 75 the the DET iajs-2008 58 76 clear clear ADJ iajs-2008 58 77 text text NOUN iajs-2008 58 78 is be AUX iajs-2008 58 79 immersed immerse VERB iajs-2008 58 80 in in ADP iajs-2008 58 81 another another DET iajs-2008 58 82 text text NOUN iajs-2008 58 83 . . PUNCT iajs-2008 59 1 mathematics mathematic NOUN iajs-2008 59 2 | | ADV iajs-2008 59 3 155 155 NUM iajs-2008 59 4 ibn ibn PROPN iajs-2008 59 5 al al PROPN iajs-2008 59 6 - - PUNCT iajs-2008 59 7 haitham haitham PROPN iajs-2008 59 8 jour jour X iajs-2008 59 9 . . PROPN iajs-2008 60 1 for for ADP iajs-2008 60 2 pure pure ADJ iajs-2008 60 3 & & CCONJ iajs-2008 60 4 appl appl PROPN iajs-2008 60 5 . . PUNCT iajs-2008 61 1 sci sci PROPN iajs-2008 61 2 . . PROPN iajs-2008 61 3 ihjpas ihjpas PROPN iajs-2008 61 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 61 5 31.3.2008 31.3.2008 PROPN iajs-2008 61 6 vol vol NOUN iajs-2008 61 7 . . PUNCT iajs-2008 62 1 31 31 NUM iajs-2008 63 1 ( ( PUNCT iajs-2008 63 2 3 3 NUM iajs-2008 63 3 ) ) PUNCT iajs-2008 63 4 2018 2018 NUM iajs-2008 63 5 3 3 NUM iajs-2008 63 6 . . PUNCT iajs-2008 63 7 application application NOUN iajs-2008 63 8 method method NOUN iajs-2008 63 9 now now ADV iajs-2008 63 10 , , PUNCT iajs-2008 63 11 we we PRON iajs-2008 63 12 apply apply VERB iajs-2008 63 13 the the DET iajs-2008 63 14 above above ADJ iajs-2008 63 15 method method NOUN iajs-2008 63 16 in in ADP iajs-2008 63 17 two two NUM iajs-2008 63 18 examples example NOUN iajs-2008 63 19 . . PUNCT iajs-2008 64 1 example example NOUN iajs-2008 64 2 14 14 NUM iajs-2008 64 3 take take VERB iajs-2008 64 4 the the DET iajs-2008 64 5 plain plain ADJ iajs-2008 64 6 text text NOUN iajs-2008 64 7 ( ( PUNCT iajs-2008 64 8 college college NOUN iajs-2008 64 9 ) ) PUNCT iajs-2008 64 10 1-"encryption 1-"encryption NOUN iajs-2008 64 11 and and CCONJ iajs-2008 64 12 representing represent VERB iajs-2008 64 13 this this DET iajs-2008 64 14 groups group NOUN iajs-2008 64 15 26, 26, NUM iajs-2008 64 16 ... ... PUNCT iajs-2008 64 17 ,z2z1,we ,z2z1,we PUNCT iajs-2008 64 18 converts convert VERB iajs-2008 64 19 each each DET iajs-2008 64 20 letter letter NOUN iajs-2008 64 21 with with ADP iajs-2008 64 22 corresponding correspond VERB iajs-2008 64 23 groups group NOUN iajs-2008 64 24 z z NOUN iajs-2008 64 25 as as ADP iajs-2008 64 26 graphs graph NOUN iajs-2008 64 27 and and CCONJ iajs-2008 64 28 extract extract VERB iajs-2008 64 29 hosoya hosoya NOUN iajs-2008 64 30 polynomaial polynomaial NOUN iajs-2008 64 31 for for SCONJ iajs-2008 64 32 all all DET iajs-2008 64 33 this this PRON iajs-2008 64 34 graphs graph VERB iajs-2008 64 35 the the DET iajs-2008 64 36 graph graph NOUN iajs-2008 64 37 of of ADP iajs-2008 64 38 this this PRON iajs-2008 64 39 , , PUNCT iajs-2008 64 40 and3cβ†’ and3cβ†’ DET iajs-2008 64 41 z z NOUN iajs-2008 64 42 group group NOUN iajs-2008 64 43 is be AUX iajs-2008 64 44 3zraph 3zraph NUM iajs-2008 64 45 of of ADP iajs-2008 64 46 geutral geutral ADJ iajs-2008 64 47 n n CCONJ iajs-2008 64 48 .3 .3 NUM iajs-2008 64 49 figure figure NOUN iajs-2008 64 50 ) ) PUNCT iajs-2008 64 51 2(3 2(3 PROPN iajs-2008 65 1 + + PROPN iajs-2008 65 2 3x+0xand 3x+0xand NUM iajs-2008 65 3 the the DET iajs-2008 65 4 hosoya hosoya NOUN iajs-2008 65 5 polynomail polynomail NOUN iajs-2008 65 6 of of ADP iajs-2008 65 7 this this DET iajs-2008 65 8 graph graph NOUN iajs-2008 65 9 is be AUX iajs-2008 65 10 and and CCONJ iajs-2008 65 11 the the DET iajs-2008 65 12 graph graph NOUN iajs-2008 65 13 of of ADP iajs-2008 65 14 this this DET iajs-2008 65 15 group group NOUN iajs-2008 65 16 is be AUX iajs-2008 65 17 , , PUNCT iajs-2008 65 18 15oβ†’z 15oβ†’z NUM iajs-2008 65 19 08 08 NUM iajs-2008 65 20 7 7 NUM iajs-2008 65 21 9 9 NUM iajs-2008 65 22 6 6 NUM iajs-2008 65 23 10 10 NUM iajs-2008 65 24 5 5 NUM iajs-2008 65 25 11 11 NUM iajs-2008 65 26 4 4 NUM iajs-2008 65 27 12 12 NUM iajs-2008 65 28 3 3 NUM iajs-2008 65 29 13 13 NUM iajs-2008 65 30 2 2 NUM iajs-2008 65 31 14 14 NUM iajs-2008 65 32 1 1 NUM iajs-2008 65 33 15raph 15raph NUM iajs-2008 65 34 of of ADP iajs-2008 65 35 zgeutral zgeutral PROPN iajs-2008 65 36 n n CCONJ iajs-2008 65 37 .4 .4 NUM iajs-2008 65 38 figure figure NOUN iajs-2008 65 39 and and CCONJ iajs-2008 65 40 the the DET iajs-2008 65 41 hosoya hosoya NOUN iajs-2008 65 42 polynomail polynomail NOUN iajs-2008 65 43 of of ADP iajs-2008 65 44 this this DET iajs-2008 65 45 graph graph NOUN iajs-2008 65 46 is be AUX iajs-2008 65 47 ( ( PUNCT iajs-2008 65 48 15 15 NUM iajs-2008 65 49 + + NOUN iajs-2008 65 50 18x+84x 18x+84x NUM iajs-2008 65 51 ) ) PUNCT iajs-2008 65 52 and and CCONJ iajs-2008 65 53 for for ADP iajs-2008 65 54 all all DET iajs-2008 65 55 letters letter NOUN iajs-2008 65 56 we we PRON iajs-2008 65 57 will will AUX iajs-2008 65 58 get get VERB iajs-2008 65 59 ) ) PUNCT iajs-2008 65 60 2(3 2(3 PROPN iajs-2008 65 61 + + PROPN iajs-2008 65 62 3x+0xcβ†’ 3x+0xcβ†’ NUM iajs-2008 65 63 ) ) PUNCT iajs-2008 65 64 x(15 x(15 PUNCT iajs-2008 66 1 + + NOUN iajs-2008 66 2 18x+84oβ†’ 18x+84oβ†’ NUM iajs-2008 66 3 ) ) PUNCT iajs-2008 66 4 lβ†’ lβ†’ NOUN iajs-2008 66 5 ( ( PUNCT iajs-2008 66 6 12 12 NUM iajs-2008 66 7 + + NOUN iajs-2008 66 8 16x+50x 16x+50x NUM iajs-2008 66 9 ) ) PUNCT iajs-2008 67 1 x(5 x(5 PROPN iajs-2008 67 2 + + NOUN iajs-2008 67 3 6x+4eβ†’ 6x+4eβ†’ NOUN iajs-2008 67 4 ) ) PUNCT iajs-2008 67 5 gβ†’ gβ†’ NOUN iajs-2008 67 6 ( ( PUNCT iajs-2008 67 7 7 7 NUM iajs-2008 67 8 + + NOUN iajs-2008 67 9 9x+12x 9x+12x NOUN iajs-2008 67 10 , , PUNCT iajs-2008 67 11 a a DET iajs-2008 67 12 , , PUNCT iajs-2008 67 13 b b PROPN iajs-2008 67 14 , , PUNCT iajs-2008 67 15 ab ab PROPN iajs-2008 67 16 } } PUNCT iajs-2008 67 17 Β° Β° NOUN iajs-2008 67 18 = = PRON iajs-2008 67 19 { { PUNCT iajs-2008 67 20 a a DET iajs-2008 67 21 4= 4= NUM iajs-2008 67 22 d d SYM iajs-2008 67 23 2nnow 2nnow PROPN iajs-2008 67 24 let let VERB iajs-2008 67 25 n=2 n=2 PRON iajs-2008 67 26 , , PUNCT iajs-2008 68 1 d d X iajs-2008 68 2 then then ADV iajs-2008 68 3 { { PUNCT iajs-2008 68 4 college}β†’ college}β†’ PROPN iajs-2008 68 5 { { PUNCT iajs-2008 68 6 coll coll PROPN iajs-2008 68 7 } } PUNCT iajs-2008 68 8 + + CCONJ iajs-2008 68 9 { { PUNCT iajs-2008 68 10 ege ege NOUN iajs-2008 68 11 _ _ ADJ iajs-2008 68 12 } } PUNCT iajs-2008 68 13 mathematics mathematic NOUN iajs-2008 68 14 | | ADV iajs-2008 68 15 156 156 NUM iajs-2008 68 16 ibn ibn PROPN iajs-2008 68 17 al al PROPN iajs-2008 68 18 - - PUNCT iajs-2008 68 19 haitham haitham PROPN iajs-2008 68 20 jour jour X iajs-2008 68 21 . . PROPN iajs-2008 69 1 for for ADP iajs-2008 69 2 pure pure ADJ iajs-2008 69 3 & & CCONJ iajs-2008 69 4 appl appl PROPN iajs-2008 69 5 . . PUNCT iajs-2008 70 1 sci sci PROPN iajs-2008 70 2 . . PROPN iajs-2008 70 3 ihjpas ihjpas PROPN iajs-2008 70 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 70 5 31.3.2008 31.3.2008 PROPN iajs-2008 70 6 vol vol NOUN iajs-2008 70 7 . . PUNCT iajs-2008 71 1 31 31 NUM iajs-2008 72 1 ( ( PUNCT iajs-2008 72 2 3 3 NUM iajs-2008 72 3 ) ) PUNCT iajs-2008 72 4 2018 2018 NUM iajs-2008 72 5 12 12 NUM iajs-2008 72 6 12 12 NUM iajs-2008 72 7 = = NOUN iajs-2008 72 8 and and CCONJ iajs-2008 72 9 v v NUM iajs-2008 72 10 3 3 NUM iajs-2008 72 11 15 15 NUM iajs-2008 72 12 = = NOUN iajs-2008 72 13 where where SCONJ iajs-2008 72 14 u u PROPN iajs-2008 72 15 π‘ˆ π‘ˆ PROPN iajs-2008 72 16 𝑉 𝑉 PROPN iajs-2008 72 17 = = NOUN iajs-2008 72 18 3 3 NUM iajs-2008 72 19 15 15 NUM iajs-2008 72 20 12 12 NUM iajs-2008 72 21 12 12 NUM iajs-2008 72 22 = = SYM iajs-2008 72 23 1{coll}β†’ 1{coll}β†’ NUM iajs-2008 72 24 w w NOUN iajs-2008 72 25 ) ) PUNCT iajs-2008 72 26 mod mod PROPN iajs-2008 72 27 28 28 NUM iajs-2008 72 28 ( ( PUNCT iajs-2008 72 29 0 0 NUM iajs-2008 72 30 1 1 NUM iajs-2008 72 31 1 1 NUM iajs-2008 72 32 1 1 NUM iajs-2008 72 33 1 1 NUM iajs-2008 72 34 1 1 NUM iajs-2008 72 35 3 3 NUM iajs-2008 72 36 3 3 NUM iajs-2008 72 37 0 0 NUM iajs-2008 72 38 15 15 NUM iajs-2008 72 39 18 18 NUM iajs-2008 72 40 84 84 NUM iajs-2008 72 41 0 0 NUM iajs-2008 72 42 1 1 NUM iajs-2008 72 43 1 1 NUM iajs-2008 72 44 1 1 NUM iajs-2008 72 45 1 1 NUM iajs-2008 72 46 1 1 NUM iajs-2008 72 47 12 12 NUM iajs-2008 72 48 16 16 NUM iajs-2008 72 49 50 50 NUM iajs-2008 72 50 12 12 NUM iajs-2008 72 51 16 16 NUM iajs-2008 72 52 50 50 NUM iajs-2008 72 53 = = SYM iajs-2008 72 54 1w1d 1w1d NUM iajs-2008 72 55 = = SYM iajs-2008 72 56 3 3 NUM iajs-2008 72 57 4 4 NUM iajs-2008 72 58 1 1 NUM iajs-2008 72 59 16 16 NUM iajs-2008 72 60 19 19 NUM iajs-2008 72 61 1 1 NUM iajs-2008 72 62 12 12 NUM iajs-2008 72 63 17 17 NUM iajs-2008 72 64 23 23 NUM iajs-2008 72 65 13 13 NUM iajs-2008 72 66 17 17 NUM iajs-2008 72 67 23 23 NUM iajs-2008 72 68 = = SYM iajs-2008 72 69 3 3 NUM iajs-2008 72 70 4 4 NUM iajs-2008 72 71 1 1 NUM iajs-2008 72 72 16 16 NUM iajs-2008 72 73 19 19 NUM iajs-2008 72 74 1 1 NUM iajs-2008 72 75 16 16 NUM iajs-2008 72 76 11 11 NUM iajs-2008 72 77 5 5 NUM iajs-2008 72 78 15 15 NUM iajs-2008 72 79 11 11 NUM iajs-2008 72 80 5 5 NUM iajs-2008 72 81 cdapsapkeoke cdapsapkeoke VERB iajs-2008 72 82 the the DET iajs-2008 72 83 first first ADJ iajs-2008 72 84 letter letter NOUN iajs-2008 72 85 cβ†’3β†’3 cβ†’3β†’3 PROPN iajs-2008 72 86 + + PROPN iajs-2008 72 87 4=7β†’g 4=7β†’g NOUN iajs-2008 72 88 " " PUNCT iajs-2008 72 89 β†’ β†’ PUNCT iajs-2008 72 90 " " PUNCT iajs-2008 72 91 gdapsapkeoke1c gdapsapkeoke1c VERB iajs-2008 72 92 5 5 NUM iajs-2008 72 93 27 27 NUM iajs-2008 72 94 = = NOUN iajs-2008 72 95 and and CCONJ iajs-2008 72 96 k k NOUN iajs-2008 72 97 5 5 NUM iajs-2008 72 98 7 7 NUM iajs-2008 72 99 = = NOUN iajs-2008 72 100 where where SCONJ iajs-2008 72 101 j j PROPN iajs-2008 72 102 𝐽 𝐽 PROPN iajs-2008 72 103 𝐾 𝐾 NOUN iajs-2008 72 104 = = NOUN iajs-2008 72 105 5 5 NUM iajs-2008 72 106 7 7 NUM iajs-2008 72 107 5 5 NUM iajs-2008 72 108 27 27 NUM iajs-2008 72 109 = = SYM iajs-2008 72 110 2{ege_}β†’ 2{ege_}β†’ NUM iajs-2008 72 111 w w NOUN iajs-2008 72 112 ) ) PUNCT iajs-2008 72 113 mod mod PROPN iajs-2008 72 114 28 28 NUM iajs-2008 72 115 ( ( PUNCT iajs-2008 72 116 0 0 NUM iajs-2008 72 117 1 1 NUM iajs-2008 72 118 1 1 NUM iajs-2008 72 119 1 1 NUM iajs-2008 72 120 1 1 NUM iajs-2008 72 121 1 1 NUM iajs-2008 72 122 5 5 NUM iajs-2008 72 123 6 6 NUM iajs-2008 72 124 4 4 NUM iajs-2008 72 125 7 7 NUM iajs-2008 72 126 9 9 NUM iajs-2008 72 127 12 12 NUM iajs-2008 72 128 0 0 NUM iajs-2008 72 129 1 1 NUM iajs-2008 72 130 1 1 NUM iajs-2008 72 131 1 1 NUM iajs-2008 72 132 1 1 NUM iajs-2008 72 133 1 1 NUM iajs-2008 72 134 5 5 NUM iajs-2008 72 135 6 6 NUM iajs-2008 72 136 4 4 NUM iajs-2008 72 137 27 27 NUM iajs-2008 72 138 0 0 NUM iajs-2008 72 139 0 0 NUM iajs-2008 73 1 = = SYM iajs-2008 73 2 1w1d 1w1d NUM iajs-2008 73 3 = = SYM iajs-2008 73 4 5 5 NUM iajs-2008 73 5 7 7 NUM iajs-2008 73 6 5 5 NUM iajs-2008 73 7 8 8 NUM iajs-2008 73 8 10 10 NUM iajs-2008 73 9 13 13 NUM iajs-2008 73 10 5 5 NUM iajs-2008 73 11 7 7 NUM iajs-2008 73 12 5 5 NUM iajs-2008 73 13 0 0 NUM iajs-2008 73 14 1 1 NUM iajs-2008 73 15 1 1 NUM iajs-2008 73 16 = = SYM iajs-2008 73 17 5 5 NUM iajs-2008 73 18 7 7 NUM iajs-2008 73 19 5 5 NUM iajs-2008 73 20 8 8 NUM iajs-2008 73 21 10 10 NUM iajs-2008 73 22 13 13 NUM iajs-2008 73 23 23 23 NUM iajs-2008 73 24 21 21 NUM iajs-2008 73 25 23 23 NUM iajs-2008 73 26 0 0 NUM iajs-2008 73 27 27 27 NUM iajs-2008 73 28 27 27 NUM iajs-2008 73 29 egegjmwuw egegjmwuw NOUN iajs-2008 73 30 # # SYM iajs-2008 73 31 _ _ NUM iajs-2008 73 32 _ _ PUNCT iajs-2008 74 1 the the DET iajs-2008 74 2 first first ADJ iajs-2008 74 3 letter letter NOUN iajs-2008 74 4 eβ†’5β†’5 eβ†’5β†’5 VERB iajs-2008 74 5 + + NOUN iajs-2008 74 6 4=9β†’i 4=9β†’i PROPN iajs-2008 74 7 # # SYM iajs-2008 74 8 _ _ PUNCT iajs-2008 74 9 _ _ PUNCT iajs-2008 74 10 " " PUNCT iajs-2008 74 11 β†’"igehjmwuw2c β†’"igehjmwuw2c ADV iajs-2008 74 12 then then ADV iajs-2008 74 13 the the DET iajs-2008 74 14 cipher cipher ADJ iajs-2008 74 15 text text NOUN iajs-2008 74 16 is be AUX iajs-2008 74 17 : : PUNCT iajs-2008 74 18 cβ†’"gdapsapkeokeigehjmwuw cβ†’"gdapsapkeokeigehjmwuw NOUN iajs-2008 74 19 # # SYM iajs-2008 74 20 _ _ PUNCT iajs-2008 75 1 _ _ PUNCT iajs-2008 75 2 " " PUNCT iajs-2008 75 3 2 2 NUM iajs-2008 75 4 - - PUNCT iajs-2008 75 5 decryption decryption NOUN iajs-2008 75 6 notice notice NOUN iajs-2008 75 7 that that SCONJ iajs-2008 75 8 ΚΊ ΚΊ DET iajs-2008 75 9 β†’ΚΊgdapsapkeoke1c β†’ΚΊgdapsapkeoke1c NOUN iajs-2008 75 10 the the DET iajs-2008 75 11 first first ADJ iajs-2008 75 12 letter letter NOUN iajs-2008 75 13 gβ†’7β†’7 gβ†’7β†’7 PROPN iajs-2008 75 14 - - PUNCT iajs-2008 75 15 4=3β†’c 4=3β†’c PROPN iajs-2008 75 16 ) ) PUNCT iajs-2008 75 17 mod mod PROPN iajs-2008 76 1 28 28 NUM iajs-2008 76 2 ( ( PUNCT iajs-2008 76 3 3 3 NUM iajs-2008 76 4 4 4 NUM iajs-2008 76 5 1 1 NUM iajs-2008 76 6 16 16 NUM iajs-2008 76 7 19 19 NUM iajs-2008 76 8 1 1 NUM iajs-2008 76 9 0 0 NUM iajs-2008 76 10 1 1 NUM iajs-2008 76 11 1 1 NUM iajs-2008 76 12 1 1 NUM iajs-2008 76 13 1 1 NUM iajs-2008 76 14 1 1 NUM iajs-2008 76 15 16 16 NUM iajs-2008 76 16 11 11 NUM iajs-2008 76 17 5 5 NUM iajs-2008 76 18 15 15 NUM iajs-2008 76 19 11 11 NUM iajs-2008 76 20 5 5 NUM iajs-2008 76 21 0 0 NUM iajs-2008 76 22 1 1 NUM iajs-2008 76 23 1 1 NUM iajs-2008 76 24 1 1 NUM iajs-2008 76 25 1 1 NUM iajs-2008 76 26 1 1 NUM iajs-2008 76 27 = = SYM iajs-2008 76 28 n= n= ADJ iajs-2008 76 29 d d PROPN iajs-2008 76 30 1c1d 1c1d NOUN iajs-2008 76 31 mathematics mathematic NOUN iajs-2008 76 32 | | ADV iajs-2008 76 33 157 157 NUM iajs-2008 76 34 ibn ibn PROPN iajs-2008 76 35 al al PROPN iajs-2008 76 36 - - PUNCT iajs-2008 76 37 haitham haitham PROPN iajs-2008 76 38 jour jour X iajs-2008 76 39 . . PROPN iajs-2008 76 40 for for ADP iajs-2008 76 41 pure pure ADJ iajs-2008 76 42 & & CCONJ iajs-2008 76 43 appl appl PROPN iajs-2008 76 44 . . PUNCT iajs-2008 77 1 sci sci PROPN iajs-2008 77 2 . . PROPN iajs-2008 77 3 ihjpas ihjpas PROPN iajs-2008 77 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 77 5 31.3.2008 31.3.2008 PROPN iajs-2008 77 6 vol vol NOUN iajs-2008 77 7 . . PUNCT iajs-2008 78 1 31 31 NUM iajs-2008 79 1 ( ( PUNCT iajs-2008 79 2 3 3 NUM iajs-2008 79 3 ) ) PUNCT iajs-2008 79 4 2018 2018 NUM iajs-2008 80 1 = = SYM iajs-2008 80 2 3 3 NUM iajs-2008 80 3 3 3 NUM iajs-2008 80 4 0 0 NUM iajs-2008 80 5 15 15 NUM iajs-2008 80 6 18 18 NUM iajs-2008 80 7 0 0 NUM iajs-2008 80 8 12 12 NUM iajs-2008 80 9 16 16 NUM iajs-2008 80 10 22 22 NUM iajs-2008 80 11 12 12 NUM iajs-2008 80 12 16 16 NUM iajs-2008 80 13 22 22 NUM iajs-2008 80 14 cc#or#lpvlpv cc#or#lpvlpv NOUN iajs-2008 80 15 # # NOUN iajs-2008 80 16 _ _ PUNCT iajs-2008 81 1 _ _ PUNCT iajs-2008 81 2 ΚΊβ†’ΚΊigehjmwuw2c ΚΊβ†’ΚΊigehjmwuw2c VERB iajs-2008 81 3 the the DET iajs-2008 81 4 first first ADJ iajs-2008 81 5 letter letter NOUN iajs-2008 81 6 iβ†’9β†’9 iβ†’9β†’9 PROPN iajs-2008 81 7 - - PUNCT iajs-2008 81 8 4=5β†’e 4=5β†’e NUM iajs-2008 81 9 ) ) PUNCT iajs-2008 81 10 mod mod PROPN iajs-2008 82 1 28 28 NUM iajs-2008 82 2 ( ( PUNCT iajs-2008 82 3 5 5 NUM iajs-2008 82 4 7 7 NUM iajs-2008 82 5 5 5 NUM iajs-2008 82 6 8 8 NUM iajs-2008 82 7 10 10 NUM iajs-2008 82 8 13 13 NUM iajs-2008 82 9 0 0 NUM iajs-2008 82 10 1 1 NUM iajs-2008 82 11 1 1 NUM iajs-2008 82 12 1 1 NUM iajs-2008 82 13 1 1 NUM iajs-2008 82 14 1 1 NUM iajs-2008 82 15 23 23 NUM iajs-2008 82 16 21 21 NUM iajs-2008 82 17 23 23 NUM iajs-2008 82 18 0 0 NUM iajs-2008 82 19 27 27 NUM iajs-2008 82 20 27 27 NUM iajs-2008 82 21 0 0 NUM iajs-2008 82 22 1 1 NUM iajs-2008 82 23 1 1 NUM iajs-2008 82 24 1 1 NUM iajs-2008 82 25 1 1 NUM iajs-2008 82 26 1 1 NUM iajs-2008 82 27 = = SYM iajs-2008 82 28 n= n= ADJ iajs-2008 82 29 d d NOUN iajs-2008 82 30 2c2d 2c2d NOUN iajs-2008 82 31 = = SYM iajs-2008 82 32 5 5 NUM iajs-2008 82 33 6 6 NUM iajs-2008 82 34 4 4 NUM iajs-2008 82 35 7 7 NUM iajs-2008 82 36 9 9 NUM iajs-2008 82 37 12 12 NUM iajs-2008 82 38 5 5 NUM iajs-2008 82 39 6 6 NUM iajs-2008 82 40 4 4 NUM iajs-2008 82 41 27 27 NUM iajs-2008 82 42 0 0 NUM iajs-2008 82 43 0 0 NUM iajs-2008 82 44 efdgilefd efdgilefd VERB iajs-2008 82 45 _ _ NOUN iajs-2008 82 46 # # NOUN iajs-2008 82 47 # # NOUN iajs-2008 82 48 then then ADV iajs-2008 82 49 the the DET iajs-2008 82 50 plain plain ADJ iajs-2008 82 51 text text NOUN iajs-2008 82 52 is be AUX iajs-2008 82 53 ( ( PUNCT iajs-2008 82 54 college college NOUN iajs-2008 82 55 ) ) PUNCT iajs-2008 82 56 . . PUNCT iajs-2008 83 1 example example NOUN iajs-2008 83 2 15 15 NUM iajs-2008 83 3 if if SCONJ iajs-2008 83 4 we we PRON iajs-2008 83 5 encryption encryption VERB iajs-2008 83 6 the the DET iajs-2008 83 7 text text NOUN iajs-2008 83 8 ( ( PUNCT iajs-2008 83 9 college college NOUN iajs-2008 83 10 of of ADP iajs-2008 83 11 computer computer NOUN iajs-2008 83 12 science science NOUN iajs-2008 83 13 and and CCONJ iajs-2008 83 14 mathematics mathematic NOUN iajs-2008 83 15 ) ) PUNCT iajs-2008 83 16 by by ADP iajs-2008 83 17 the the DET iajs-2008 83 18 same same ADJ iajs-2008 83 19 technique technique NOUN iajs-2008 83 20 with with ADP iajs-2008 83 21 choose choose NOUN iajs-2008 83 22 n=3 n=3 PUNCT iajs-2008 83 23 then then ADV iajs-2008 83 24 we we PRON iajs-2008 83 25 will will AUX iajs-2008 83 26 get get VERB iajs-2008 83 27 pβ†’"college pβ†’"college NOUN iajs-2008 83 28 of of ADP iajs-2008 83 29 computer computer NOUN iajs-2008 83 30 science science NOUN iajs-2008 83 31 and and CCONJ iajs-2008 83 32 mathematics mathematic NOUN iajs-2008 83 33 " " PUNCT iajs-2008 84 1 cβ†’"idapvamqwpkevuwtrokgepvaghiyx_lgenjmkgepvaghiyx_lgenj cβ†’"idapvamqwpkevuwtrokgepvaghiyx_lgenjmkgepvaghiyx_lgenj NUM iajs-2008 84 2 m m NOUN iajs-2008 84 3 idajmyfgenhkxx_vuwgaaotqeecoiwz idajmyfgenhkxx_vuwgaaotqeecoiwz NOUN iajs-2008 84 4 _ _ PUNCT iajs-2008 85 1 _ _ PUNCT iajs-2008 85 2 g_enksfgense g_enksfgense NOUN iajs-2008 85 3 _ _ PUNCT iajs-2008 86 1 _ _ PUNCT iajs-2008 87 1 _ _ PUNCT iajs-2008 87 2 g_eroc g_eroc NOUN iajs-2008 87 3 cdat#e#aaa cdat#e#aaa NOUN iajs-2008 87 4 _ _ NOUN iajs-2008 88 1 _ _ PUNCT iajs-2008 89 1 # # SYM iajs-2008 89 2 _ _ PUNCT iajs-2008 90 1 _ _ PUNCT iajs-2008 91 1 # # SYM iajs-2008 91 2 _ _ PUNCT iajs-2008 92 1 _ _ PUNCT iajs-2008 92 2 " " PUNCT iajs-2008 92 3 now now ADV iajs-2008 92 4 we we PRON iajs-2008 92 5 find find VERB iajs-2008 92 6 a a DET iajs-2008 92 7 table table NOUN iajs-2008 92 8 of of ADP iajs-2008 92 9 ratios ratio NOUN iajs-2008 92 10 of of ADP iajs-2008 92 11 letters letter NOUN iajs-2008 92 12 and and CCONJ iajs-2008 92 13 a a DET iajs-2008 92 14 statistical statistical ADJ iajs-2008 92 15 scheme scheme NOUN iajs-2008 92 16 of of ADP iajs-2008 92 17 plan plan NOUN iajs-2008 92 18 text text NOUN iajs-2008 92 19 and and CCONJ iajs-2008 92 20 cipher cipher ADJ iajs-2008 92 21 text text NOUN iajs-2008 92 22 and and CCONJ iajs-2008 92 23 try try VERB iajs-2008 92 24 to to PART iajs-2008 92 25 compare compare VERB iajs-2008 92 26 these these DET iajs-2008 92 27 two two NUM iajs-2008 92 28 texts text NOUN iajs-2008 92 29 for for ADP iajs-2008 92 30 plan plan NOUN iajs-2008 92 31 text text NOUN iajs-2008 92 32 table table NOUN iajs-2008 92 33 1 1 NUM iajs-2008 92 34 . . PUNCT iajs-2008 93 1 the the DET iajs-2008 93 2 ratio ratio NOUN iajs-2008 93 3 of of ADP iajs-2008 93 4 plan plan NOUN iajs-2008 93 5 text text NOUN iajs-2008 93 6 characters character NOUN iajs-2008 93 7 g g PROPN iajs-2008 93 8 f f PROPN iajs-2008 93 9 e e PROPN iajs-2008 93 10 d d X iajs-2008 93 11 c c PROPN iajs-2008 93 12 b b PROPN iajs-2008 93 13 a a DET iajs-2008 93 14 0.02631579 0.02631579 NUM iajs-2008 93 15 0.02631579 0.02631579 NUM iajs-2008 93 16 0.15789474 0.15789474 NOUN iajs-2008 93 17 0.02631579 0.02631579 NUM iajs-2008 93 18 0.13157895 0.13157895 NUM iajs-2008 93 19 0 0 NUM iajs-2008 93 20 0.07894737 0.07894737 NUM iajs-2008 93 21 n n NUM iajs-2008 93 22 m m NOUN iajs-2008 93 23 l l NOUN iajs-2008 93 24 k k X iajs-2008 94 1 j j NOUN iajs-2008 95 1 i i PRON iajs-2008 95 2 h h VERB iajs-2008 95 3 0.05263158 0.05263158 NUM iajs-2008 96 1 0.07894737 0.07894737 NUM iajs-2008 96 2 0.05263158 0.05263158 NUM iajs-2008 96 3 0 0 NUM iajs-2008 96 4 0 0 NUM iajs-2008 96 5 0.05263158 0.05263158 NUM iajs-2008 96 6 0.02631579 0.02631579 NUM iajs-2008 96 7 u u NOUN iajs-2008 96 8 t t X iajs-2008 96 9 s s NOUN iajs-2008 96 10 r r NOUN iajs-2008 96 11 q q X iajs-2008 96 12 p p NOUN iajs-2008 96 13 o o NOUN iajs-2008 96 14 0.02631579 0.02631579 NUM iajs-2008 96 15 0.07894737 0.07894737 NUM iajs-2008 96 16 0.05263158 0.05263158 NUM iajs-2008 96 17 0.02631579 0.02631579 NUM iajs-2008 96 18 0 0 NUM iajs-2008 96 19 0.02631579 0.02631579 NUM iajs-2008 96 20 0.07894737 0.07894737 NUM iajs-2008 96 21 z z NOUN iajs-2008 96 22 y y NOUN iajs-2008 96 23 x x PROPN iajs-2008 97 1 w w NOUN iajs-2008 97 2 v v NUM iajs-2008 97 3 0 0 NUM iajs-2008 97 4 0 0 NUM iajs-2008 97 5 0 0 NUM iajs-2008 97 6 0 0 NUM iajs-2008 97 7 0 0 NUM iajs-2008 97 8 and and CCONJ iajs-2008 97 9 the the DET iajs-2008 97 10 statistical statistical ADJ iajs-2008 97 11 scheme scheme NOUN iajs-2008 97 12 mathematics mathematic NOUN iajs-2008 97 13 | | ADV iajs-2008 97 14 158 158 NUM iajs-2008 97 15 ibn ibn PROPN iajs-2008 97 16 al al PROPN iajs-2008 97 17 - - PUNCT iajs-2008 97 18 haitham haitham PROPN iajs-2008 97 19 jour jour X iajs-2008 97 20 . . PROPN iajs-2008 98 1 for for ADP iajs-2008 98 2 pure pure ADJ iajs-2008 98 3 & & CCONJ iajs-2008 98 4 appl appl PROPN iajs-2008 98 5 . . PUNCT iajs-2008 99 1 sci sci PROPN iajs-2008 99 2 . . PROPN iajs-2008 99 3 ihjpas ihjpas PROPN iajs-2008 99 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 99 5 31.3.2008 31.3.2008 PROPN iajs-2008 99 6 vol vol NOUN iajs-2008 99 7 . . PUNCT iajs-2008 100 1 31 31 NUM iajs-2008 101 1 ( ( PUNCT iajs-2008 101 2 3 3 NUM iajs-2008 101 3 ) ) SYM iajs-2008 101 4 2018 2018 NUM iajs-2008 101 5 scheme scheme NOUN iajs-2008 101 6 1.histogram 1.histogram NUM iajs-2008 101 7 of of ADP iajs-2008 101 8 plan plan NOUN iajs-2008 101 9 text text NOUN iajs-2008 101 10 for for ADP iajs-2008 101 11 cipher cipher ADJ iajs-2008 101 12 text text NOUN iajs-2008 101 13 table table NOUN iajs-2008 101 14 2 2 NUM iajs-2008 101 15 . . PUNCT iajs-2008 102 1 the the DET iajs-2008 102 2 ratio ratio NOUN iajs-2008 102 3 of of ADP iajs-2008 102 4 cipher cipher ADJ iajs-2008 102 5 text text NOUN iajs-2008 102 6 characters character NOUN iajs-2008 102 7 g g PROPN iajs-2008 102 8 f f PROPN iajs-2008 102 9 e e PROPN iajs-2008 102 10 d d X iajs-2008 102 11 c c PROPN iajs-2008 102 12 b b PROPN iajs-2008 102 13 a a DET iajs-2008 102 14 0.08730159 0.08730159 NUM iajs-2008 102 15 0.01587302 0.01587302 NUM iajs-2008 102 16 0.1031746 0.1031746 NUM iajs-2008 102 17 0.02380952 0.02380952 NUM iajs-2008 102 18 0.02380952 0.02380952 NUM iajs-2008 102 19 0 0 NUM iajs-2008 102 20 0.08730159 0.08730159 NUM iajs-2008 102 21 n n NUM iajs-2008 102 22 m m NOUN iajs-2008 102 23 l l NOUN iajs-2008 103 1 k k X iajs-2008 103 2 j j NOUN iajs-2008 104 1 i i PRON iajs-2008 104 2 h h VERB iajs-2008 104 3 0.03968254 0.03968254 NUM iajs-2008 104 4 0.03174603 0.03174603 NUM iajs-2008 104 5 0.01587302 0.01587302 NUM iajs-2008 104 6 0.03968254 0.03968254 NUM iajs-2008 104 7 0.02380952 0.02380952 NUM iajs-2008 104 8 0.03968254 0.03968254 NUM iajs-2008 104 9 0.02380952 0.02380952 NUM iajs-2008 104 10 u u NOUN iajs-2008 104 11 t t X iajs-2008 104 12 s s NOUN iajs-2008 104 13 r r NOUN iajs-2008 104 14 q q X iajs-2008 104 15 p p NOUN iajs-2008 104 16 o o X iajs-2008 104 17 0.01587302 0.01587302 NUM iajs-2008 104 18 0.02380952 0.02380952 NUM iajs-2008 104 19 0.01587302 0.01587302 NUM iajs-2008 104 20 0.01587302 0.01587302 NUM iajs-2008 104 21 0.01587302 0.01587302 NUM iajs-2008 104 22 0.03174603 0.03174603 NUM iajs-2008 104 23 0.03174603 0.03174603 NUM iajs-2008 104 24 # # NOUN iajs-2008 104 25 _ _ NOUN iajs-2008 104 26 z z PUNCT iajs-2008 105 1 y y NOUN iajs-2008 105 2 x x PUNCT iajs-2008 106 1 w w NOUN iajs-2008 106 2 v v ADP iajs-2008 106 3 0.03174603 0.03174603 NUM iajs-2008 106 4 0.12698413 0.12698413 NUM iajs-2008 106 5 0.00793651 0.00793651 NUM iajs-2008 106 6 0.02380952 0.02380952 NUM iajs-2008 106 7 0.03174603 0.03174603 NUM iajs-2008 106 8 0.03174603 0.03174603 NUM iajs-2008 106 9 0.03968254 0.03968254 NUM iajs-2008 106 10 and and CCONJ iajs-2008 106 11 the the DET iajs-2008 106 12 statistical statistical ADJ iajs-2008 106 13 scheme scheme NOUN iajs-2008 106 14 scheme scheme NOUN iajs-2008 106 15 2.histogram 2.histogram NUM iajs-2008 106 16 of of ADP iajs-2008 106 17 cipher cipher ADJ iajs-2008 106 18 text text NOUN iajs-2008 106 19 now now ADV iajs-2008 106 20 to to PART iajs-2008 106 21 compare compare VERB iajs-2008 106 22 these these DET iajs-2008 106 23 percentages percentage NOUN iajs-2008 106 24 we we PRON iajs-2008 106 25 give give VERB iajs-2008 106 26 some some DET iajs-2008 106 27 observations observation NOUN iajs-2008 106 28 1 1 NUM iajs-2008 106 29 - - NOUN iajs-2008 106 30 notice notice NOUN iajs-2008 106 31 that that SCONJ iajs-2008 106 32 the the DET iajs-2008 106 33 clear clear ADJ iajs-2008 106 34 text text NOUN iajs-2008 106 35 consists consist VERB iajs-2008 106 36 of of ADP iajs-2008 106 37 38 38 NUM iajs-2008 106 38 characters character NOUN iajs-2008 106 39 while while SCONJ iajs-2008 106 40 the the DET iajs-2008 106 41 encrypted encrypt VERB iajs-2008 106 42 text text NOUN iajs-2008 106 43 consists consist VERB iajs-2008 106 44 of of ADP iajs-2008 106 45 126 126 NUM iajs-2008 106 46 characters character NOUN iajs-2008 106 47 this this PRON iajs-2008 106 48 means mean VERB iajs-2008 106 49 that that SCONJ iajs-2008 106 50 each each DET iajs-2008 106 51 letter letter NOUN iajs-2008 106 52 of of ADP iajs-2008 106 53 clear clear ADJ iajs-2008 106 54 text text NOUN iajs-2008 106 55 corresponds correspond VERB iajs-2008 106 56 to to ADP iajs-2008 106 57 three three NUM iajs-2008 106 58 letters letter NOUN iajs-2008 106 59 of of ADP iajs-2008 106 60 the the DET iajs-2008 106 61 encryption encryption NOUN iajs-2008 106 62 text text NOUN iajs-2008 106 63 and and CCONJ iajs-2008 106 64 this this PRON iajs-2008 106 65 is be AUX iajs-2008 106 66 the the DET iajs-2008 106 67 immersion immersion NOUN iajs-2008 106 68 property property NOUN iajs-2008 106 69 we we PRON iajs-2008 106 70 mentioned mention VERB iajs-2008 106 71 . . PUNCT iajs-2008 107 1 2 2 NUM iajs-2008 107 2 - - PUNCT iajs-2008 107 3 notice notice NOUN iajs-2008 107 4 in in ADP iajs-2008 107 5 the the DET iajs-2008 107 6 statistical statistical ADJ iajs-2008 107 7 scheme scheme NOUN iajs-2008 107 8 of of ADP iajs-2008 107 9 the the DET iajs-2008 107 10 encryption encryption NOUN iajs-2008 107 11 text text NOUN iajs-2008 107 12 that that SCONJ iajs-2008 107 13 almost almost ADV iajs-2008 107 14 all all DET iajs-2008 107 15 alphabets alphabet NOUN iajs-2008 107 16 were be AUX iajs-2008 107 17 used use VERB iajs-2008 107 18 as as ADV iajs-2008 107 19 well well ADV iajs-2008 107 20 as as ADP iajs-2008 107 21 the the DET iajs-2008 107 22 symbols symbol NOUN iajs-2008 107 23 added add VERB iajs-2008 107 24 to to ADP iajs-2008 107 25 the the DET iajs-2008 107 26 alphabet alphabet NOUN iajs-2008 107 27 , , PUNCT iajs-2008 107 28 whereas whereas SCONJ iajs-2008 107 29 in in ADP iajs-2008 107 30 the the DET iajs-2008 107 31 plan plan NOUN iajs-2008 107 32 text text NOUN iajs-2008 107 33 there there PRON iajs-2008 107 34 are be VERB iajs-2008 107 35 nine nine NUM iajs-2008 107 36 non non ADJ iajs-2008 107 37 - - ADJ iajs-2008 107 38 existent existent ADJ iajs-2008 107 39 characters character NOUN iajs-2008 107 40 . . PUNCT iajs-2008 108 1 0 0 NUM iajs-2008 108 2 0.02 0.02 NUM iajs-2008 108 3 0.04 0.04 NUM iajs-2008 108 4 0.06 0.06 NUM iajs-2008 108 5 0.08 0.08 NUM iajs-2008 108 6 0.1 0.1 NUM iajs-2008 108 7 0.12 0.12 NUM iajs-2008 108 8 0.14 0.14 NUM iajs-2008 108 9 0.16 0.16 NUM iajs-2008 108 10 0.18 0.18 NUM iajs-2008 108 11 zyxwvutsrqponmlkjihgfedcba zyxwvutsrqponmlkjihgfedcba NOUN iajs-2008 108 12 0 0 NUM iajs-2008 108 13 0.02 0.02 NUM iajs-2008 108 14 0.04 0.04 NUM iajs-2008 108 15 0.06 0.06 NUM iajs-2008 108 16 0.08 0.08 NUM iajs-2008 108 17 0.1 0.1 NUM iajs-2008 108 18 0.12 0.12 NUM iajs-2008 108 19 0.14 0.14 NUM iajs-2008 108 20 # # NOUN iajs-2008 108 21 zxvtrpnljhfdb zxvtrpnljhfdb PROPN iajs-2008 108 22 mathematics mathematic NOUN iajs-2008 108 23 | | ADV iajs-2008 108 24 159 159 NUM iajs-2008 108 25 ibn ibn PROPN iajs-2008 108 26 al al PROPN iajs-2008 108 27 - - PUNCT iajs-2008 108 28 haitham haitham PROPN iajs-2008 108 29 jour jour X iajs-2008 108 30 . . PROPN iajs-2008 108 31 for for ADP iajs-2008 108 32 pure pure ADJ iajs-2008 108 33 & & CCONJ iajs-2008 108 34 appl appl PROPN iajs-2008 108 35 . . PUNCT iajs-2008 109 1 sci sci PROPN iajs-2008 109 2 . . PROPN iajs-2008 109 3 ihjpas ihjpas PROPN iajs-2008 109 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2008 109 5 31.3.2008 31.3.2008 PROPN iajs-2008 109 6 vol vol NOUN iajs-2008 109 7 . . PUNCT iajs-2008 110 1 31 31 NUM iajs-2008 111 1 ( ( PUNCT iajs-2008 111 2 3 3 NUM iajs-2008 111 3 ) ) SYM iajs-2008 111 4 2018 2018 NUM iajs-2008 111 5 3 3 NUM iajs-2008 111 6 - - PUNCT iajs-2008 111 7 notice notice NOUN iajs-2008 111 8 that that SCONJ iajs-2008 111 9 the the DET iajs-2008 111 10 highest high ADJ iajs-2008 111 11 ratio ratio NOUN iajs-2008 111 12 of of ADP iajs-2008 111 13 letters letter NOUN iajs-2008 111 14 or or CCONJ iajs-2008 111 15 symbols symbol NOUN iajs-2008 111 16 in in ADP iajs-2008 111 17 the the DET iajs-2008 111 18 encoded encode VERB iajs-2008 111 19 text text NOUN iajs-2008 111 20 is be AUX iajs-2008 111 21 the the DET iajs-2008 111 22 ratio ratio NOUN iajs-2008 111 23 of of ADP iajs-2008 111 24 the the DET iajs-2008 111 25 symbol symbol NOUN iajs-2008 111 26 _ _ NOUN iajs-2008 111 27 which which PRON iajs-2008 111 28 has have AUX iajs-2008 111 29 been be AUX iajs-2008 111 30 added add VERB iajs-2008 111 31 to to ADP iajs-2008 111 32 the the DET iajs-2008 111 33 alphabet alphabet NOUN iajs-2008 111 34 which which PRON iajs-2008 111 35 does do AUX iajs-2008 111 36 not not PART iajs-2008 111 37 represent represent VERB iajs-2008 111 38 any any DET iajs-2008 111 39 letter letter NOUN iajs-2008 111 40 of of ADP iajs-2008 111 41 the the DET iajs-2008 111 42 clear clear ADJ iajs-2008 111 43 text text NOUN iajs-2008 111 44 and and CCONJ iajs-2008 111 45 this this PRON iajs-2008 111 46 indicates indicate VERB iajs-2008 111 47 that that SCONJ iajs-2008 111 48 this this DET iajs-2008 111 49 code code NOUN iajs-2008 111 50 added add VERB iajs-2008 111 51 to to ADP iajs-2008 111 52 the the DET iajs-2008 111 53 alphabet alphabet NOUN iajs-2008 111 54 has have AUX iajs-2008 111 55 increased increase VERB iajs-2008 111 56 the the DET iajs-2008 111 57 strength strength NOUN iajs-2008 111 58 of of ADP iajs-2008 111 59 encryption encryption NOUN iajs-2008 111 60 significantly significantly ADV iajs-2008 111 61 . . PUNCT iajs-2008 112 1 references reference NOUN iajs-2008 112 2 1 1 NUM iajs-2008 112 3 . . PUNCT iajs-2008 112 4 natalia natalia PROPN iajs-2008 112 5 , , PUNCT iajs-2008 112 6 t. t. NOUN iajs-2008 112 7 connections connection NOUN iajs-2008 112 8 between between ADP iajs-2008 112 9 graph"theory graph"theory NOUN iajs-2008 112 10 and and CCONJ iajs-2008 112 11 cryptography cryptography NOUN iajs-2008 112 12 . . PUNCT iajs-2008 113 1 g2c2:"graphs g2c2:"graphs VERB iajs-2008 113 2 and"groups,"cycles and"groups,"cycle NOUN iajs-2008 113 3 and and CCONJ iajs-2008 113 4 coverings covering NOUN iajs-2008 113 5 ; ; PUNCT iajs-2008 113 6 24–26,"novosibirsk 24–26,"novosibirsk NUM iajs-2008 113 7 , , PUNCT iajs-2008 113 8 " " PUNCT iajs-2008 113 9 russia russia PROPN iajs-2008 113 10 . . PUNCT iajs-2008 114 1 2014 2014 NUM iajs-2008 114 2 . . PUNCT iajs-2008 115 1 2 2 NUM iajs-2008 115 2 . . X iajs-2008 115 3 thomas thomas PROPN iajs-2008 115 4 , , PUNCT iajs-2008 115 5 r.cryptography r.cryptography NOUN iajs-2008 115 6 and and CCONJ iajs-2008 115 7 graph graph NOUN iajs-2008 115 8 theory theory NOUN iajs-2008 115 9 two two NUM iajs-2008 115 10 examples example NOUN iajs-2008 115 11 of of ADP iajs-2008 115 12 discretemathematics discretemathematic NOUN iajs-2008 115 13 saga saga NOUN iajs-2008 115 14 . . PUNCT iajs-2008 116 1 hsb"university hsb"university PROPN iajs-2008 116 2 of of ADP iajs-2008 116 3 applied"sciences applied"science NOUN iajs-2008 116 4 . . PUNCT iajs-2008 117 1 2011 2011 NUM iajs-2008 117 2 . . PUNCT iajs-2008 118 1 3 3 X iajs-2008 118 2 . . X iajs-2008 118 3 simon simon PROPN iajs-2008 118 4 , , PUNCT iajs-2008 118 5 r. r. PROPN iajs-2008 118 6 ; ; PUNCT iajs-2008 118 7 carlos carlos PROPN iajs-2008 118 8 , , PUNCT iajs-2008 118 9 c. c. PROPN iajs-2008 118 10 ; ; PUNCT iajs-2008 118 11 ciaran ciaran PROPN iajs-2008 118 12 , , PUNCT iajs-2008 118 13 m. m. NOUN iajs-2008 118 14 group group NOUN iajs-2008 118 15 theory theory NOUN iajs-2008 118 16 and and CCONJ iajs-2008 118 17 cryptography cryptography NOUN iajs-2008 118 18 . . PUNCT iajs-2008 119 1 university university PROPN iajs-2008 119 2 of of ADP iajs-2008 119 3 london london PROPN iajs-2008 119 4 . . PUNCT iajs-2008 120 1 2010 2010 NUM iajs-2008 120 2 . . PUNCT iajs-2008 121 1 4 4 X iajs-2008 121 2 . . X iajs-2008 121 3 vasantha vasantha NOUN iajs-2008 121 4 , , PUNCT iajs-2008 121 5 k. k. PROPN iajs-2008 121 6 w. w. PROPN iajs-2008 121 7 b b PROPN iajs-2008 121 8 ; ; PUNCT iajs-2008 121 9 florentins florentin NOUN iajs-2008 121 10 , , PUNCT iajs-2008 121 11 s.groups s.group VERB iajs-2008 121 12 as as ADP iajs-2008 121 13 graphs graph NOUN iajs-2008 121 14 , , PUNCT iajs-2008 121 15 editura editura NOUN iajs-2008 121 16 cuart cuart NOUN iajs-2008 121 17 , , PUNCT iajs-2008 121 18 slatina slatina NOUN iajs-2008 121 19 , , PUNCT iajs-2008 121 20 judctul judctul PROPN iajs-2008 121 21 olt olt PROPN iajs-2008 121 22 , , PUNCT iajs-2008 121 23 romania romania PROPN iajs-2008 121 24 , , PUNCT iajs-2008 121 25 2009 2009 NUM iajs-2008 121 26 . . PUNCT iajs-2008 122 1 5 5 NUM iajs-2008 122 2 . . X iajs-2008 122 3 ali ali PROPN iajs-2008 122 4 , , PUNCT iajs-2008 122 5 a.m. a.m. PROPN iajs-2008 123 1 wiener"polynomial"of wiener"polynomial"of PROPN iajs-2008 123 2 generalized generalize VERB iajs-2008 123 3 distance"in distance"in NOUN iajs-2008 123 4 graph graph NOUN iajs-2008 123 5 . . PUNCT iajs-2008 123 6 ,,mosuluniversity ,,mosuluniversity PROPN iajs-2008 123 7 . . PUNCT iajs-2008 124 1 2005 2005 NUM iajs-2008 124 2 . . PUNCT iajs-2008 125 1 6 6 NUM iajs-2008 125 2 . . X iajs-2008 125 3 edwin edwin PROPN iajs-2008 125 4 , , PUNCT iajs-2008 125 5 c. c. PROPN iajs-2008 125 6 elementary elementary PROPN iajs-2008 125 7 abstract abstract PROPN iajs-2008 125 8 algebra algebra PROPN iajs-2008 125 9 . . PUNCT iajs-2008 126 1 university university NOUN iajs-2008 126 2 of of ADP iajs-2008 126 3 south south PROPN iajs-2008 126 4 florida florida PROPN iajs-2008 126 5 , , PUNCT iajs-2008 126 6 2001 2001 NUM iajs-2008 126 7 . . PUNCT iajs-2008 127 1 7 7 X iajs-2008 127 2 . . X iajs-2008 127 3 hans hans PROPN iajs-2008 127 4 , , PUNCT iajs-2008 127 5 d. d. PROPN iajs-2008 127 6 ; ; PUNCT iajs-2008 127 7 helmut helmut PROPN iajs-2008 127 8 , , PUNCT iajs-2008 127 9 k. k. PROPN iajs-2008 127 10 introduction introduction NOUN iajs-2008 127 11 to to ADP iajs-2008 127 12 cryptography cryptography NOUN iajs-2008 127 13 , , PUNCT iajs-2008 127 14 principles principle NOUN iajs-2008 127 15 and and CCONJ iajs-2008 127 16 application application NOUN iajs-2008 127 17 . . PUNCT iajs-2008 128 1 second second ADJ iajs-2008 128 2 edition edition NOUN iajs-2008 128 3 , , PUNCT iajs-2008 128 4 verlay verlay NOUN iajs-2008 128 5 berlin berlin PROPN iajs-2008 128 6 heidelberg heidelberg PROPN iajs-2008 128 7 , , PUNCT iajs-2008 128 8 2007 2007 NUM iajs-2008 128 9 . . PUNCT iajs-2008 129 1 8 8 NUM iajs-2008 129 2 . . X iajs-2008 130 1 david david PROPN iajs-2008 130 2 , , PUNCT iajs-2008 130 3 c. c. PROPN iajs-2008 130 4 ; ; PUNCT iajs-2008 130 5 tom tom PROPN iajs-2008 130 6 , , PUNCT iajs-2008 130 7 d. d. PROPN iajs-2008 130 8 ; ; PUNCT iajs-2008 130 9 rohit rohit VERB iajs-2008 130 10 , , PUNCT iajs-2008 130 11 t. t. PROPN iajs-2008 130 12 ; ; PUNCT iajs-2008 130 13 andrew andrew PROPN iajs-2008 130 14 , , PUNCT iajs-2008 130 15 w. w. PROPN iajs-2008 130 16 linear linear PROPN iajs-2008 130 17 algebra algebra PROPN iajs-2008 130 18 . . PUNCT iajs-2008 131 1 davis"california davis"california PROPN iajs-2008 131 2 . . PUNCT iajs-2008 132 1 2013 2013 NUM iajs-2008 132 2 . . PUNCT