Pregled bibliografske jedinice broj: 979804
Transitive t-designs and strongly regular graphs constructed from linear groups L(2, q), q <= 23
Transitive t-designs and strongly regular graphs constructed from linear groups L(2, q), q
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Naslov
Transitive t-designs and strongly regular graphs
constructed from linear groups L(2, q), q <= 23
Autori
Crnković, Dean ; Švob, Andrea
Izvornik
International Journal of Group Theory (2251-7650) 8
(2019), 3;
43-64
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
t-design ; Strongly regular graph ; Linear group ; Transitive group
Sažetak
In this paper we construct t-designs from the linear groups L(2, q), q <= 23. Thereby we classify t-designs, t >= 2, admitting a transitive action of the linear groups L(2, q), q <= 23, up to 35 points and obtained numerous transitive designs, for 36<= v <= 55. In many cases we proved the existence of designs with certain parameters. Among others we constructed designs with parameters 2-(55, 10, 4), 3-(24, 11, 495), 3-(24, 12, 5m), m \in \{; ; ; 11, 12, 22, 33, 44, 66, 132\}; ; ; . Furthermore, we constructed strongly regular graphs admitting a transitive action of the linear groups L(2, q), q <= 23.
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
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
