Pregled bibliografske jedinice broj: 906001
Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4)
Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4) // The Second Malta Conference in Graph Theory and Combinatorics 2017
Qawra, Malta, 2017. str. 111-111 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 906001 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Quasi-symmetric 2-(64, 24, 46) designs derived from AG(3, 4)
Autori
Rukavina, Sanja ; Crnković, Dean ; Rodrigues, B.G. ; Tonchev, Vladimir D.
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
The Second Malta Conference in Graph Theory and Combinatorics 2017
/ - , 2017, 111-111
Skup
The Second Malta Conference in Graph Theory and Combinatorics 2017
Mjesto i datum
Qawra, Malta, 26.06.2017. - 30.06.2017
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
quasi-symmetric design
Sažetak
In this talk we present the enumeration of quasi-symmetric 2-(64, 24, 46) designs supported by the dual code C? of the binary linear code C spanned by the lines of AG(3, 4). It is shown that C? supports exactly 30, 264 nonisomorphic quasi-symmetric 2-(64, 24, 46) designs. The block graph of a quasi-symmetric 2- (64, 24, 46) design with block intersection numbers 8 and 12, where two blocks are adjacent if they share 12 points, is a strongly regular graph with parameters (336, 80, 28, 16). The block graphs of the 2699 nonisomorphic quasi- symmetric 2-(64, 24, 46) designs admitting an automorphism of order 128, split into 2371 isomorphism classes of strongly regular graphs with parameters (336, 80, 28, 16). The automorphism groups of those strongly regular graphs are computed.
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
