Pregled bibliografske jedinice broj: 912040
On some self-orthogonal codes from M11
On some self-orthogonal codes from M11 // Hypergraphs, Graphs and Designs - HyGraDe 2017
Sant'Alessio Siculo, Italija, 2017. str. 50-50 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 912040 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some self-orthogonal codes from M11
Autori
Novak, Ivona ; Mikulić Crnković, Vedrana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Hypergraphs, Graphs and Designs - HyGraDe 2017
/ - , 2017, 50-50
Skup
Hypergraphs, Graphs and Designs - HyGraDe 2017
Mjesto i datum
Sant'Alessio Siculo, Italija, 20.06.2017. - 24.06.2017
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Mathieu group, self-orthogonal code, design
Sažetak
M11 is the smallest of five sporadic simple Mathieu groups and it can be represented as transitive permutation group on 11, 12, 22, 55, 66, 110, 132, 144 and 165 points. Defining base block of a design as union of orbits of a point stabilizer acting on the set of points, we construct 1-designs, and from them codes. Precisely, we constructed weakly self- orthogonal 1-designs, 1 and from them, by suitable extension, self-orthogonal codes. We will present weakly self-orthogonal 1-designs and self-orthogonal codes obtained from permutation representation of M11 on less than 165 points (inclusive), and some of their properties. Also, we constructed self- orthogonal codes from some orbit matrices of 1- designs.
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
