Results 31 to 40 of about 24,959,772 (294)
S-boxes with Controllable Nonlinearity [PDF]
, 1999 In this paper, we give some relationship between the nonlinearity of rational functions over F2n and the number of points of associated hyperelliptic curve. Using this, we get a lower bound on nonlinearity of rational-typed vector Boolean functions over F2n. While the previous works give us a lower bound on nonlinearity only for special-typed monomials,
Jung Hee Cheon +2 more
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An algorithm for constructing S-boxes for block symmetric encryption
Universal Journal of Mathematics and Applications, 2018 This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, $S(8\times 8)$-box
Alijon Bozorbayevicha Sattarov +1 more
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Exponential S-Boxes: a Link Between the S-Boxes of BelT and Kuznyechik/Streebog [PDF]
IACR Transactions on Symmetric Cryptology, 2017 The block cipher Kuznyechik and the hash function Streebog were recently standardized by the Russian Federation.
Léo Perrin, Aleksei Udovenko
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On the Algebraic Expression of the AES S-Box Like S-Boxes
, 2010 In the literature, there are several proposed block ciphers like AES, Square, Shark and Hierocrypt which use S-boxes that are based on inversion mapping over a finite field. Because of the simple algebraic structure of S-boxes generated in this way, these ciphers usually use a bitwise affine transformation after the inversion mapping.
M. Tolga Sakalli 0001 +5 more
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Linear Redundancy in S-Boxes [PDF]
, 2003 This paper reports the discovery of linear redundancy in the S-boxes of many ciphers recently proposed for standardisation (including Rijndael, the new AES). We introduce a new method to efficiently detect affine equivalence of Boolean functions, and hence we study the variety of equivalence classes existing in random and published S-boxes.
Fuller, Joanne, Millan, William
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IEEE Access, 2022 In the modern block cipher, the substitution box (S-box) is a nonlinear constituent that plays a substantial role to create the confusion in ciphertext. S-boxes with low value of differential uniformity and high value of nonlinearity are considered more ...
Abid Mahboob +6 more
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On the Design of Chaos-Based S-Boxes [PDF]
IEEE Access, 2020 Substitution boxes (S-boxes) are critical nonlinear elements to achieve cryptanalytic resistance of modern block and stream ciphers. Given their importance, a rich variety of S-box construction strategies exists. In this paper, S-boxes generated by using chaotic functions (CF) are analyzed to measure their actual resistance to linear cryptanalysis. The
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A Novel Algorithm of Constructing Highly Nonlinear S-p-boxes
Cryptography, 2019 The role of substitution boxes is very important in block ciphers. Substitution boxes are utilized to create confusion in the cryptosystem. However, to create both confusion and diffusion in any cryptosystem p-boxes and chaos base substitution boxes are ...
Yasir Naseer +3 more
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