Pregled bibliografske jedinice broj: 1107427
Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of M11
Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of M11, 2021. doi:10.1007/s00200-020-00484-2 (rukopis).
CROSBI ID: 1107427 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Self-orthogonal codes constructed from weakly
self-orthogonal designs invariant under an
action of M11
Autori
Mikulić Crnković, Vedrana ; Traunkar, Ivona ;
Vrsta, podvrsta
Ostale vrste radova, rukopis
Godina
2021
Ključne riječi
Mathieu group ; design ; orbit matrix ; linear code ; weakly self-orthogonal design ; self-orthogonal codes
Sažetak
In this paper we generalize the construction of binary self-orthogonal codes obtained from weakly self-orthogonal designs described by Tonchev in order to obtain self-orthogonal codes over an arbitrary field. We extend construction self- orthogonal codes from orbit matrices of self- orthogonal designs and weakly self-orthogonal 1- designs such that block size is odd and block intersection numbers are even, discribed by D. Crnković, V.M. Crnković and B.G. Rodrigues. Also, we generalize mentioned construction in order to obtain self-orthogonal codes over an arbitrary fi eld. We construct weakly self-orthogonal designs invariant under an action of Mathieu group M11 and, from them, binary self-orthogonal codes.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
