Naslov
Q-ary strongly regular graphs

Autori
Crnković, Dean ; Braun, Michael ; De Boeck, Maarten ; Mikulić Crnković, Vedrana ; Švob, Andrea

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of Abstracts for The 24th Conference of the International Linear Algebra Society / Galway - , 2022, 197-197

Skup
24th Conference of the International Linear Algebra Society

Mjesto i datum
Gaillimh, Irska, 20.06.2022. - 24.06.2022

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
q-analog, q-ary design, strongly regular graph

Sažetak
The notion of q-analog of designs has been introduced by Delsarte in 1976. In 1987, Thomas constructed the first non-trivial q-analog of design with parameters 2-(n, 3, 7 ; 2), n > 6, n = 6k + 1 or n = 6k − 1. An important result was given in 2016, when Braun, Etzion, Ostergard, Vardy and Wassermann constructed a design over a finite field with parameters 2-(13, 3, 1 ; 2) which was the first known example of a Steiner q-design that does not arise from spreads. In this talk we will introduce the notion of q-analog of strongly regular graphs, and present some new results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA