engleski

Primitive symmetric designs with prime power number of points

In this paper we either prove the non-existence or give explicit construction of primitive symmetric (v, k, lambda) designs with v=p(m)<2500, p prime and m>1. The method of design construction is based on an automorphism group action ; non-existence results additionally include the theory of difference sets, multiplier theorems in particular. The research involves programming and wide-range computations. We make use of software package GAP and the library of primitive groups which it contains.

Symmetric design ; primitive automorphism group ; difference set

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