Design of new 4 x 4S-box from finite commutative chain rings
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Undergraduate course
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Publisher
Springer
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Article
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Acesso aberto
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Abstract
Substitution boxes (S-boxes) are the fundamental mechanisms in symmetric key cryptosystems. These S-boxes guarantee that the cryptosystem is cryptographically secure and make them nonlinear. The S-boxes used in conventional and modern cryptography are mostly constructed over finite Galois field extensions of binary Field F-2 . We have presented a novel construction scheme of S-boxes which is based on the elements of subgroups of multiplicative groups of units of the commutative finite chain rings of type F-2[u]/< u(k)> , where 2 <= k <= 8 . Majority logic criterion (MLC) is applied on the apprehended S-boxes owing to, checked their strength.
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Keywords
S-box, Finite chain ring, Unit elements, Subgroup of order 16, Majority logic criterion
Language
English
Citation
Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 36, n. 2, p. 843-857, 2017.
