id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
fuelectenerg-3306	Radmanović, Miloš; Stanković, Radomir S.	CONSTRUCTION OF SUBSETS OF BENT FUNCTIONS SATISFYING RESTRICTIONS IN THE REED-MULLER DOMAIN	2018	16	.pdf	application/pdf	19088	979	67	The runtime of an exhaustive search method for Construction of Subsets of Bent Functions Satisfying Restrictions... 13 Table 4: The number of bent functions in some subsets H(kmin, kmax) for n =4,6, and, 8 variables n kmin, kmax #f of H(kmin, kmax) 4 2,2 24 6 2,2 13440 6 3,3 12 8 2,2 111992832 Table 5: The number of bent functions in some subsets G(k, kmin, kmax) for n = 4 variables k, kmin, kmax #f of G(k, kmin, kmax) 2,2,2 2 3,2,2 8 4,2,2 10 5,2,2 4 Table 6: The number of bent functions in some subsets G(k, kmin, kmax) for n = 6 variables k, kmin, kmax #f of G(k, kmin, kmax) 3,2,2 12 4,2,2 144 5,2,2 732 6,2,2 1968 7,2,2 3008 8,2,2 3040 9,2,2 2360 10,2,2 1384 11,2,2 564 12,2,2 176 13,2,2 44 14,2,2 8 16,3,3 6 17,3,3 6 generation of bent function is exponential in terms of the number of variables. Using properties of bent function in RM domain, we define RM vertical, 12 M. RADMANOVIĆ AND R. STANKOVIĆ Table 2: The number of bent functions in the subsets V (k) for n = 6 vari- ables k #f of V (k) 3 15 4 405 5 4575 6 30885 7 147630 8 548190 9 1657950 10 4239474 11 9512343 12 19341969 13 36536505 14 65365185 15 112296016 16 185615422 17 290719416 18 420742250 19 551175695 28 57338355 29 25754775 30 9869427 31 3098124 32 770562 33 153060 34 26070 35 3882 36 504 37 72 Table 3: The number of bent functions in the subsets V (k) for n = 8 vari- ables k #f of V (k) 4 105 5 8505 5 Conclusion For practical cryptographic applications, it is often necessary to generate random bent functions.	cache/fuelectenerg-3306.pdf	txt/fuelectenerg-3306.txt