Naslov
Searching for designs over finite fields with non- trivial automorphism groups

Autori
Nakić, Anamari

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, kratko priopćenje, znanstveni

Izvornik
8th Slovenian Conference on Graph Theory, 21.– 27.06.2015., Kranjska Gora, Slovenija. / - , 2015, 1-1

Skup
8th Slovenian Conference on Graph Theory

Mjesto i datum
Kranjska Gora, Slovenija, 21.06.2015. - 27.06.2015

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
design over finite field ; q-analog of design ; automorphism group ; tactical decomposition

Sažetak
A design over the finite field F_q with parameters t-(v, k, lambda)_q is a pair (V, B) where V is the v-dimensional vector space over F_q and B is a collection of k-dimensional subspaces of V, such that each t-dimensional subspace of V is contained in precisely lambda members of B. We follow the trend of finding q- analogues of statements valid for classical combinatorial designs. In particular, we focus on necessary conditions on the existence of designs over finite fields with an assumed automorphism group. We give insight into the problems we encountered as well as results we obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA