Pregled bibliografske jedinice broj: 1103508
New quasi-symmetric designs and unitals with prescribed automorphism groups
New quasi-symmetric designs and unitals with prescribed automorphism groups // Combinatorics 2016
Maratea, Italija, 2016. (predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, znanstveni)
CROSBI ID: 1103508 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New quasi-symmetric designs and unitals with prescribed automorphism groups
Autori
Krčadinac, Vedran ; Vlahović Kruc, Renata
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Combinatorics 2016
Mjesto i datum
Maratea, Italija, 29.05.2016. - 03.06.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Podatak o recenziji nije dostupan
Ključne riječi
quasi-symmetric design ; automorphism group ; unital
Sažetak
A celebrated computational technique for the construction of designs with prescribed automorphism groups is the method of Kramer and Mesner. We describe how to adapt the method to quasi-symmetric designs, i.e. to the case when any pair of blocks intersect either in x or in y points, for non-negative integers x<y. Using the adapted method, we find many new quasi-symmetric 2-(28, 12, 11) designs with x=4, y=6 and 2-(36, 16, 12) designs with x=6, y=8. We also construct quasi-symmetric 2-(56, 16, 18) designs with x=4, y=8, which had previously been unknown. Finally, we find three new unitals 2-(217, 7, 1) of non-prime power order.
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:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
