Sihem Mesnager

Secret Sharing Schemes with General Access Structures (Full version).

2015 · IACR Cryptology ePrint Archive

Abstract. Secret sharing schemes with general monotone access struc-tures have been widely discussed in the literature. But in some scenarios, non-monotone access structures may have more practical significance. In this paper, we shed a new …

More About the Corpus of Involutions From Two-to-One Mappings and Related Cryptographic S-Boxes

2022 · IEEE Transactions on Information Theory

Permutation polynomials have been extensively studied for their applications in cryptography, coding theory, combinatorial design, etc. An important subfamily of permutations is the class of involutions (those permutations are equal to their compositional inverse). Elements …

The Complete Differential Spectrum of a Class of Power Permutations Over Odd Characteristic Finite Fields

2023 · IEEE Transactions on Information Theory

Permutation polynomials over finite fields are fundamental objects as they are used in various theoretical and practical applications in cryptography, coding theory, combinatorial design, and related topics. This family of polynomials constitutes an active research …