S(ubstitution)-boxes are quite important components of modern symmetric cryptosystems. S-boxes bring nonlinearity to cryptosystems and strengthen their cryptographic security. An S-box satisfies the strict avalanche criterion (SAC), if and only if for any single input bit of the S-box, the inversion of it changes each output bit with probability one half. We present some interesting properties of S-boxes and propose an efficient and systematic means of generating arbitrary input size btjective S-boxes satisfying the SAC by applying simple rules recursively given 3-bit input bijectective S-box(es) satisfying the SAC.
CITATION STYLE
Kim, K., Matsumoto, T., & Imai, H. (1991). A recursive construction method of S-boxes satisfying strict avalanche criterion. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 537 LNCS, pp. 565–574). Springer Verlag. https://doi.org/10.1007/3-540-38424-3_39
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