Article Dans Une Revue Journal of Systems Science and Complexity Année : 2023

Self-dual Hadamard bent sequences

Wei Cheng
Denis Krotov
  • Fonction : Auteur
  • PersonId : 1163289

Résumé

A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application (Solé et al, 2021). We study the self-dual class in length at most 196. We use three competing methods of generation: Exhaustion, Linear Algebra and Gröbner bases. Regular Hadamard matrices and Bush-type Hadamard matrices provide many examples. We conjecture that if v is an even perfect square, a self-dual bent sequence of length v always exists. We introduce the strong automorphism group of Hadamard matrices, which acts on their associated self-dual bent sequences. We give an efficient algorithm to compute that group.

Fichier principal
Vignette du fichier
sdbent30.pdf (386.7 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-03774339 , version 1 (10-09-2022)

Licence

Identifiants

Citer

Minjia Shi, Yaya Li, Wei Cheng, Denis Krotov, Patrick Solé. Self-dual Hadamard bent sequences. Journal of Systems Science and Complexity, 2023, ⟨10.1007/s11424-023-2276-8⟩. ⟨hal-03774339⟩
168 Consultations
292 Téléchargements

Altmetric

Partager

  • More