Self-dual Hadamard bent sequences release_dzjnsjnemfe3hmtfuqujzm64t4

by Minjia Shi, Yaya Li, Wei Cheng, Dean Crnković, Denis Krotov, Patrick Solé

Released as a article .

2022  

Abstract

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 Groebner 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 exist. 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.
In text/plain format

Archived Files and Locations

application/pdf  241.7 kB
file_jdxqmbe6ivbb3h7twf5smz4ili
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   submitted
Date   2022-06-22
Version   v2
Language   en ?
arXiv  2203.16439v2
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 97336046-0b07-4adf-8c62-5c3f3628a3e8
API URL: JSON