Symmetric primitives are a cornerstone of cryptography, and have traditionally been defined
over fields, where cryptanalysis is now well understood. However, a few symmetric …

Let PPol (R) denote the group of permutation polynomial functions over the finite,
commutative, unital ring R under composition. We generalize numerous results about …

For selecting appropriate permutation polynomials (PPs) in practical applications, it is
necessary to know the coefficients of the polynomial since a brute-force exhaustive search is …

New large classes of permutations over ℤ 2 n based on T-Functions as Self-Inverting
Permutation Functions (SIPFs) are presented. The presented classes exhibit negligible or …

Изучаются вопросы обращения перестановочных многочленов над примарным
кольцом Z pk, где p—простое и k> 1. Устанавливаются необходимые и достаточные …

Let $ R $ be a ring and $ M $ a right $ R $-module. Let $ N $ be a proper submodule of $ M
$. We say that $ M $ is $ N $-coretractable (or $ M $ is coretractable relative to $ N $) …

INDONESIA: Polinom f▒[(x)=∑ _ (i= 0)^∞] a^ i x_i dengan α_0 ring R adalah polinomial
permutasi jika ada himpunan berhingga (A) sedemikian hingga f: A→ A dan f bersifat satu …