Pregled bibliografske jedinice broj: 699083
Intersection Numbers for Subspace Designs
Intersection Numbers for Subspace Designs // Journal of combinatorial designs, 23 (2015), 11; 463-480 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 699083 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Intersection Numbers for Subspace Designs
Autori
Kiermaier, Michael ; Pavčević, Mario Osvin
Izvornik
Journal of combinatorial designs (1063-8539) 23
(2015), 11;
463-480
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
subspace design; q-analog; intersection number; block design; Fano plane
Sažetak
Intersection numbers for subspace designs are introduced and q-analogs of the Mendelsohn and Köhler equations are given. As an application, we are able to determine the intersection structure of a putative q-analog of the Fano plane for any prime power q. It is shown that its existence implies the existence of a 2-(7, 3, q^4)_q subspace design. Furthermore, several simplified or alternative proofs concerning intersection numbers of ordinary block designs are discussed.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario-Osvin Pavčević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
