Linear codes from vectorial Boolean functions in the context of algebraic attacks - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Discrete Mathematics, Algorithms and Applications Année : 2021

Linear codes from vectorial Boolean functions in the context of algebraic attacks

Résumé

In this paper, we study the relationship between vectorial (Boolean) functions and cyclic codes in the context of algebraic attacks. We first derive a direct link between the annihilators of a vectorial function (in univariate form) and certain [Formula: see text]-ary cyclic codes (which we show that they are LCD codes). We also present some properties of those cyclic codes as well as their weight enumerator. In addition, we generalize the so-called algebraic complement and study its properties.
Fichier non déposé

Dates et versions

hal-03960619 , version 1 (27-01-2023)

Identifiants

Citer

M. Boumezbeur, Sihem Mesnager, K. Guenda. Linear codes from vectorial Boolean functions in the context of algebraic attacks. Discrete Mathematics, Algorithms and Applications, 2021, 13 (03), pp.2150032. ⟨10.1142/S1793830921500324⟩. ⟨hal-03960619⟩
25 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More