Pregled bibliografske jedinice broj: 906020
Codes from orbit matrices and extended orbit matrices of symmetric designs
Codes from orbit matrices and extended orbit matrices of symmetric designs // Algebraic Combinatorics and Applications - The First Annual Kliakhandler Conference / Tonchev, Vladimir D. (ur.).
Houghton (MI), Sjedinjene Američke Države, 2015. str. 5-5 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 906020 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Codes from orbit matrices and extended orbit matrices of symmetric designs
Autori
Rukavina, Sanja ; Crnković, Dean
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Algebraic Combinatorics and Applications - The First Annual Kliakhandler Conference
/ Tonchev, Vladimir D. - , 2015, 5-5
Skup
Algebraic Combinatorics and Applications - The First Annual Kliakhandler Conference
Mjesto i datum
Houghton (MI), Sjedinjene Američke Države, 26.08.2015. - 30.08.2015
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
symmetric design ; orbit matrix ; linear code ; self-dual code
Sažetak
We study codes spanned by the rows of an orbit matrix of a symmetric design with respect to an automorphism group that acts with all orbits of the same length. The dimension of such codes is discussed. 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.
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:
Dean Crnković
(autor)
