engleski

q-ary strongly regular graphs

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.

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

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