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Pregled bibliografske jedinice broj: 906258

Self-dual codes from quotient matrices of symmetric divisible designs with the dual property


Crnković, Dean; Mostarac, Nina; Rukavina, Sanja
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

Profili:

Avatar Url Nina Mostarac (autor)

Avatar Url Sanja Rukavina (autor)

Avatar Url Dean Crnković (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Crnković, Dean; Mostarac, Nina; Rukavina, Sanja
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)
Crnković, D., Mostarac, N. & Rukavina, S. (2016) Self-dual codes from quotient matrices of symmetric divisible designs with the dual property. Discrete mathematics, 339 (2), 409-414 doi:10.1016/j.disc.2015.09.004.
@article{article, author = {Crnkovi\'{c}, Dean and Mostarac, Nina and Rukavina, Sanja}, year = {2016}, pages = {409-414}, DOI = {10.1016/j.disc.2015.09.004}, keywords = {Self-dual code, Divisible design, Quotient matrix}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2015.09.004}, volume = {339}, number = {2}, issn = {0012-365X}, title = {Self-dual codes from quotient matrices of symmetric divisible designs with the dual property}, keyword = {Self-dual code, Divisible design, Quotient matrix} }
@article{article, author = {Crnkovi\'{c}, Dean and Mostarac, Nina and Rukavina, Sanja}, year = {2016}, pages = {409-414}, DOI = {10.1016/j.disc.2015.09.004}, keywords = {Self-dual code, Divisible design, Quotient matrix}, journal = {Discrete mathematics}, doi = {10.1016/j.disc.2015.09.004}, volume = {339}, number = {2}, issn = {0012-365X}, title = {Self-dual codes from quotient matrices of symmetric divisible designs with the dual property}, keyword = {Self-dual code, Divisible design, Quotient matrix} }

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


Citati:





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