Design of new 4 x 4S-box from finite commutative chain rings
Carregando...
Data
2017-06-01
Autores
Shah, Tariq
Jahangir, Saira
Andrade, Antonio Aparecido de [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Resumo
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.
Descrição
Palavras-chave
S-box, Finite chain ring, Unit elements, Subgroup of order 16, Majority logic criterion
Como citar
Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 36, n. 2, p. 843-857, 2017.