engleski

Construction of transitive q-designs

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 M. Braun, T. Etzion, P. Ostergard and A. Vardy, A.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 present a method of constructing transitive q-designs, which is a generalization of the method for constructing transitive designs given by the authors.

block design ; q-design ; transitive group

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