Naslov
New quasi-symmetric designs by the Kramer-Mesner method

Autori
Krčadinac, Vedran ; Vlahović Kruc, Renata

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Network Coding and Designs

Mjesto i datum
Dubrovnik, Hrvatska, 04.04.2016. - 08.04.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
quasi-symmetric desing ; automorphism group ; self-orthogonal code

Sažetak
A t-(v, k, lambda) design is quasi-symmetric if any two blocks intersect either in x or in y points, for non-negative integers x<y. Quasi-symmetric designs have important connections with strongly regular graphs and self-orthogonal codes. In this talk we will describe how to adapt the celebrated Kramer-Mesner construction method for designs with prescribed automorphism groups to the quasi-symmetric case. Using the adapted method, we can significantly increase the number of known quasi-symmetric 2-(28, 12, 11) designs with x=4, y=6 and 2-(36, 16, 12) designs with x=6, y=8. We can also construct quasi-symmetric 2-(56, 16, 18) designs with x=4, y=8, which had previously been unknown. We will give some information on the binary codes associated with the new designs.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA