Pregled bibliografske jedinice broj: 1267485
Self-Dual Hadamard Bent Sequences
Self-Dual Hadamard Bent Sequences // Journal of Systems Science & Complexity, 36 (2023), 894-908 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1267485 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-Dual Hadamard Bent Sequences
Autori
Shi, Minjia ; Li, Yaya ; Cheng, Wei ; Crnković, Dean ; Krotov, Denis, Solé, Patrick
Izvornik
Journal of Systems Science & Complexity (1009-6124) 36
(2023);
894-908
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bent sequences ; bush-type Hadamard matrices ; Hadamard matrices ; PUF functions ; regular Hadamard matrices
Sažetak
A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application (Sol´e, et al., 2021). The authors study the self-dual class in length at most 196. The authors use three competing methods of generation: Exhaustion, Linear Algebra and Gr¨obner bases. Regular Hadamard matrices and Bush-type Hadamard matrices provide many examples. The authors conjecture that if v is an even perfect square, a self-dual bent sequence of length v always exists. The authors introduce the strong automorphism group of Hadamard matrices, which acts on their associated self-dual bent sequences. The authors give an efficient algorithm to compute that group.
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:
- 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