Pregled bibliografske jedinice broj: 1174630
New symmetric 2-(71,15,3) designs
New symmetric 2-(71,15,3) designs // Bulletin of The Institute of Combinatorics and its Applications, 94 (2022), 79-94 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1174630 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New symmetric 2-(71,15,3) designs
Autori
Crnković, Dean ; Rukavina, Sanja
Izvornik
Bulletin of The Institute of Combinatorics and its Applications (1183-1278) 94
(2022);
79-94
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
symmetric design, triplane, automorphism group, linear code
Sažetak
A symmetric 2-(v, k, lambda) design is called a triplane. In this paper we construct two triplanes of order twelve, i.e., symmetric 2-(71, 15, 3) designs, from the bonary codes of the previously known triplanes. All 146 previously known triplanes of order twelve, i.e., symmetric 2- (71, 15, 3) designs, admit an action of an automorphism of order three, while these two newly constructed triplanes have full automorphism groups that are isomorphic to the elementary abelian group of order eight. Furthermore, possible actions of automorphisms of prime order on a triplane of order twelve are studied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-6732 - Kombinatorički objekti i kodovi (COCo) (Crnković, Dean, HRZZ ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-51 - Kodovi, grupe i kombinatoričke strukture (Crnković, Dean, NadSve ) ( CroRIS)
NadSve-Sveučilište u Rijeci-uniri-prirod-18-45 - Dizajni, grafovi i linearni kodovi (Rukavina, Sanja, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
