3 problems

Let $\mathbb{F}_2^{32}$ be the $32$-dimensional vector space over the field with two elements, and let the entire rounds of the block cipher IDEA act as permutations of this set. W…

KT1-key attack-count conjecture. The actual number of KT1 keys broken by the exact attacks of this paper should be closer to $2^{80}$ than to $2^{65}$, out of approximately…

Let $G$ be a finite group, let $H$ be a finite group containing $G$ as a subgroup, and consider an original set of $n$ S-boxes whose rows are permutations of $G^j$. An expansion re…