engleski

On q-analogs of 3-(v, k, λ) designs

A t-(v, k, lambda_t) design can be generalized as follows. A t-(v, k, lambda_t ; q) design over a finite field F_q is a set B of k- dimensional subspaces of a v-dimensional vector space over F_q, called blocks, with the property that any t- dimensional subspace is contained in exactly lambda_t blocks. The emphasis will be on q- analogs of designs for t=3. We address tactical decomposition of q- analogs of designs for t=3. We give insight into the problems we encountered as well as results we obtained.

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

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