Pregled bibliografske jedinice broj: 906249
Self-dual codes from extended orbit matrices of symmetric designs
Self-dual codes from extended orbit matrices of symmetric designs // Designs, codes and cryptography, 79 (2016), 1; 113-120 doi:10.1007/s10623-015-0038-x (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 906249 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-dual codes from extended orbit matrices of
symmetric designs
Autori
Crnković, Dean ; Rukavina, Sanja
Izvornik
Designs, codes and cryptography (0925-1022) 79
(2016), 1;
113-120
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Symmetric design ; Orbit matrix ; Linear code ; Self-dual code
Sažetak
In this paper we study codes spanned by the rows of an orbit matrix of a symmetric design with respect to the action of an automorphism group that acts with all orbits of the same length. We define an extended orbit matrix and show that under some condition the rows of the extended orbit matrix span a code that is self- dual with respect to a certain scalar product. Further, we show that sometimes a chain of codes can be used to associate a self-dual code to an orbit matrix of a symmetric design.
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:
- 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
