Pregled bibliografske jedinice broj: 906329
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 // 2015 PhD Summer School in Discrete Mathematics
Rogla, Slovenija, 2015. str. 9-9 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Self-dual codes from quotient matrices of symmetric divisible designs with the dual property
Autori
Mostarac, Nina ; Crnković, Dean ; Rukavina, Sanja
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
2015 PhD Summer School in Discrete Mathematics
/ - , 2015, 9-9
Skup
2015 PhD Summer School in Discrete Mathematics
Mjesto i datum
Rogla, Slovenija, 27.06.2015. - 03.07.2015
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Self-dual code ; Divisible design ; Quotient matrix
Sažetak
In this talk 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