Naslov
Quasi-symmetric designs

Autori
Vlahović Kruc, Renata ; Krčadinac, Vedran

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

Skup
PhD Seminars Mathematics

Mjesto i datum
Gent, Belgija, 13.12.2018

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
quasi-symmetric designs

Sažetak
A t-(v, k, λ) design is a finite incidence structure consisting of a set V of v points and a collection B of k-subsets of V, called blocks, with the property that any t-subset of V is contained in exactly λ blocks. A t-design is quasi-symmetric if any two blocks intersect either in x or in y points, for non-negative integers x < y. The classi cation of quasi- symmetric designs for t = 2 is a difficult open problem and there are many triples (v, k, λ) for which existence is unknown. Quasi-symmetric designs have important connections with strongly regular graphs and self-orthogonal codes. We use computational methods for the construction of designs with pre- scribed automorphism groups, such as the Kramer-Mesner method and a method based on clique search.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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