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Design of a strong S-box based on a matrix approach
In this paper, we present a matrix approach based on the rule 90 cellular automata, and a fractional linear transformation over Galois field GF(2 8) , to implement a strong substitution box (S-box). To make the assessment of this proposal, some standard tests are performed, and the obtained numerical results show that this proposed S-box is comparable or superior to some S-boxes used as benchmarks in this work. Also, to measure the strength of the S-box in image encryption, some statistical tests are carried out, which prove that our proposal exhibits appealing security properties. © 2018, Springer Nature B.V.
Cellular automaton; Cryptography; S-box Cellular automata; Cryptography; Mathematical transformations; Matrix algebra; Galois fields; Image encryptions; Matrix approach; Numerical results; S-box; Security properties; Standard tests; Substitution Box(S Box); Linear transformations