Pregled bibliografske jedinice broj: 1133302
A few new triplanes
A few new triplanes // 8TH EUROPEAN CONGRESS OF MATHEMATICS Book of Abstracts
Portorož, Slovenija, 2021. str. 265-266 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1133302 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A few new triplanes
Autori
Rukavina, Sanja ; Crnković, Dean
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
8TH EUROPEAN CONGRESS OF MATHEMATICS Book of Abstracts
/ - , 2021, 265-266
ISBN
978-961-293-083-7
Skup
8th European Congres of Mathematics
Mjesto i datum
Portorož, Slovenija, 20.06.2021. - 26.06.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
symmetric design, triplane, automorphism
Sažetak
An incidence structure D = (P, B, I), with point set P, block set B and incidence I is a t-(v, k, λ) design, if |P| = v, every block B ∈ B is incident with precisely k points, and every t distinct points are together incident with precisely λ blocks. We consider triplanes, i.e., symmetric block designs with λ = 3. Triplanes of order 12, i.e. symmetric (71, 15, 3) designs, have the greatest number of points among all known triplanes and it is not known if a triplane (v, k, 3) exists for v > 71.
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