Pregled bibliografske jedinice broj: 927930
Orbit matrices of Hadamard matrices and related codes
Orbit matrices of Hadamard matrices and related codes // Discrete mathematics, 341 (2018), 5; 1199-1209 doi:10.1016/j.disc.2018.01.018 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 927930 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Orbit matrices of Hadamard matrices and related
codes
Autori
Crnković, Dean ; Egan, Ronan ; Švob, Andrea
Izvornik
Discrete mathematics (0012-365X) 341
(2018), 5;
1199-1209
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hadamard matrix ; Orbit matrix ; Self-orthogonal code
Sažetak
In this paper we introduce the notion of orbit matrices of Hadamard matrices with respect to their permutation automorphism groups and show that under certain conditions these orbit matrices yield self-orthogonal codes. As a case study, we construct codes from orbit matrices of some Paley type I and Paley type II Hadamard matrices. In addition, we construct four new symmetric (100, 45, 20) designs which correspond to regular Hadamard matrices, and construct codes from their orbit matrices. The codes constructed include optimal, near-optimal self-orthogonal and self-dual codes, over finite fields and over $\mathbb{; ; ; ; Z}; ; ; ; _4$.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-1637 - Kodovi i s njima povezane kombinatoričke strukture (CoCoS) (Crnković, Dean, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
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
