Existence of 2-$(v,k,1)$ Designs Admitting a Block-Transitive Group of Affine Type

Ding Shifeng, Liu Weijun

Abstract


In this paper we use Weil's estimate on character sums to prove that large admissible prime powers $q$ admit 2-$(q,k,1)$ designs having block-transitive automorphism groups in AGL$(1, q)$.


Keywords


Block-transitive; Design; Weil's Theorem

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