hrvatski

Designs Over Finite Fields

I will focus my attention on the q-analogues of Steiner systems, that are designs over F_q having λ = 1. They are of particular interest because of their versatility ; they indeed can be also viewed as (t, k)-spreads of PG(v−1, q) or perfect (v, k, 2k−2t+2)-constant dimension codes. Finally, we briefly discuss possible automorphisms of the putative 2-(7, 3, 1)_q design, the q-analogue of the Fano plane.

designs over finite fields

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