Functions with low differential uniformity can be used in block ciphers as S-boxes since they
have good resistance to differential attacks. In this extended abstract, we give two …

Finding permutation polynomials with low differential uniformity is an important topic in S-
box designs of many block ciphers. For example, AES chooses the differentially 4-uniform …

Our research work is on the construction of new differentially δ-uniform families of vectorial
Boolean functions. Almost all of our families have explicit and compact univariate in a …

(m+k, m)-functions with good cryptographic properties when 1≤ k< m play an important role
in several block ciphers. In this paper, based on the method introduced by Carlet et al. in …

A generalization of the method of C. Carlet for constructing differentially 4-uniform
permutations of binary vector spaces in even dimension 2 k is suggested. It consists in …

Cryptography studies secure communications. In symmetric-key cryptography, the
communicating parties have a shared secret key which allows both to encrypt and decrypt …

Cette thèse explore à la fois la construction et l'analyse de primitives de cryptographie
symétrique. Nous obtenons de meilleures constructions que celles de la littérature, en visant …

S-boxes are crucial components of symmetric ciphers. In this article, firstly we examine the
nonlinearity and differential uniformity of mappings obtained via switching given mappings …

Les travaux exposés dans cette thèse se situent à l'interface des mathématiques discrètes,
des corps finis et de la cryptographie symétrique. La cryptographie symétrique consiste en …