Pregled bibliografske jedinice broj: 1267479
Self-dual bent sequences for complex Hadamard matrices
Self-dual bent sequences for complex Hadamard matrices // Designs, codes and cryptography, 91 (2023), 1453-1474 doi:10.1007/s10623-022-01157-6 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1267479 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-dual bent sequences for complex Hadamard matrices
Autori
Shi, Minjia ; Li, Yaya ; Cheng, Wei ; Crnković, Dean ; Krotov, Denis, Solé, Patrick
Izvornik
Designs, codes and cryptography (0925-1022) 91
(2023);
1453-1474
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bent sequences ; Complex Hadamard matrices ; Regular complex Hadamard matrices ; Bush-type complex Hadamard matrices ; Mixed-skew Hadamard matrices
Sažetak
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 90.We use three competing methods of generation: Brute force, Linear Algebra and Groebner bases. Regular complex Hadamard matrices and Bush-type complex Hadamard matrices providemany examples.We introduce the strong automorphism group of complexHadamard matrices, which acts on their associated self-dual bent sequences. We give an efficient algorithm to compute that group.We also answer the questionwhich complexHadamardmatrices can be uniquely reconstructed from the off-diagonal elements, define a related concept of mixed-skew Hadamard matrix, and show the existence of mixed-skew Hadamard matrices of small orders.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-51 - Kodovi, grupe i kombinatoričke strukture (Crnković, Dean, NadSve ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Dean Crnković
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts