Every cryptosystem with an n-bit block length may be modeled as a system of n-bit boolean equations. The cipher is said to be nondegenerate if the equation fi that describes the output ci is nondegenerate, for 1 ≤ i ≤ n. Let Nn, n be the set of nondegenerate permutations. We will derive an exact expression for |Nn,n|, and show that (Formula presented.).
CITATION STYLE
O’Connor, L. (1991). Enumerating nondegenerate permutations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 547 LNCS, pp. 368–377). Springer Verlag. https://doi.org/10.1007/3-540-46416-6_31
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