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Article Dans Une Revue Designs, Codes and Cryptography Année : 2022

Self-dual bent sequences for complex Hadamard matrices

Yaya Li
  • Fonction : Auteur
Wei Cheng
Dean Crnković
  • Fonction : Auteur
  • PersonId : 1193684
Denis Krotov
  • Fonction : Auteur
  • PersonId : 1163289
Patrick Solé

Résumé

A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application (Solé et al, 2021). In this paper we introduce the analogous notion for complex Hadamard matrices, and we study the self dual class in length at most 98. We use three competing methods of generation: Brute force, Linear Algebra and Groebner bases. Regular Hadamard matrices and Bush-type Hadamard matrices provide many examples. We introduce the strong automorphism group of complex Hadamard matrices, which acts on their associated self-dual bent sequences. We give an efficient algorithm to compute that group.
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Dates et versions

hal-03870634 , version 1 (24-11-2022)

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  • HAL Id : hal-03870634 , version 1

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Minjia Shi, Yaya Li, Wei Cheng, Dean Crnković, Denis Krotov, et al.. Self-dual bent sequences for complex Hadamard matrices. Designs, Codes and Cryptography, 2022. ⟨hal-03870634⟩
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