On some new Steiner 2-designs S(2, 5, 45)

Crnković, Dean; Dumičić Danilović, Doris; Rukavina, Sanja; Šimac, Marina

Pregled bibliografske jedinice broj: 1013471

On some new Steiner 2-designs S(2, 5, 45)

Crnković, Dean; Dumičić Danilović, Doris; Rukavina, Sanja; Šimac, Marina

On some new Steiner 2-designs S(2, 5, 45) // Utilitas mathematica, 111 (2019), 281-308 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1013471 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On some new Steiner 2-designs S(2, 5, 45)

Autori
Crnković, Dean ; Dumičić Danilović, Doris ; Rukavina, Sanja ; Šimac, Marina

Izvornik
Utilitas mathematica (0315-3681) 111 (2019); 281-308

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Steiner 2-design ; LDPC code

Sažetak
In this paper we classify Steiner S(2, 5, 45) designs having an automorphism group isomorphic to Z 6 or E 9 . We also construct S(2, 5, 45) designs having S 3 as an au- tomorphism group. Among the constructed Steiner designs there are 12 mutually nonisomorphic ones. To our best knowledge, 11 of the constructed Steiner S(2, 5, 45) designs are new. We also study LDPC codes of Steiner S(2, 5, 45) 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

Profili:

Dean Crnković (autor)