Pregled bibliografske jedinice broj: 906258
Self-dual codes from quotient matrices of symmetric divisible designs with the dual property
Self-dual codes from quotient matrices of symmetric divisible designs with the dual property // Discrete mathematics, 339 (2016), 2; 409-414 doi:10.1016/j.disc.2015.09.004 (međunarodna recenzija, članak, znanstveni)
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Naslov
Self-dual codes from quotient matrices of
symmetric divisible designs with the dual property
Autori
Crnković, Dean ; Mostarac, Nina ; Rukavina, Sanja
Izvornik
Discrete mathematics (0012-365X) 339
(2016), 2;
409-414
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Self-dual code ; Divisible design ; Quotient matrix
Sažetak
In this paper we look at codes spanned by the rows of a quotient matrix of a symmetric (group) divisible design (SGDD) with the dual property. We define an extended quotient matrix and show that under certain conditions the rows of the extended quotient matrix span a self- dual code with respect to a certain scalar product.We also show that sometimes a chain of codes can be used to associate a self-dual code to a quotient matrix of a SGDD with the dual property.
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts