Pregled bibliografske jedinice broj: 1109210
On some codes invariant under the action of the Held group
On some codes invariant under the action of the Held group // Šesti hrvatski matematički kongres
Zagreb, Hrvatska, 2016. str. 1-1 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1109210 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some codes invariant under the action of the
Held group
Autori
Mikulić Crnković, Vedrana ; Crnković, Dean
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Šesti hrvatski matematički kongres
/ - , 2016, 1-1
Skup
Šesti hrvatski matematički kongres
Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
weakly self-orthogonal 1-design ; self-orthogonal code ; Held group
Sažetak
Lately, some methods for constructing self- orthogonal codes generated by an orbit matrix of a 2-design or a strongly regular graph were developed. We take into consideration linear codes (over binary field) generated by the incidence matrices of 1-designs, and by orbit matrices of those structures. More precisely, one can construct a binary self-orthogonal code of a self-orthogonal and weakly self-orthogonal 1- design. We determine when the code generated by an orbit matrix of a 1-design is self-orthogonal. We construct self-orthogonal 1-designs from the sporadic simple group He with large number of points. Furthermore, we define binary codes of the constructed designs and their orbit matrices and analyze their properties.
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
