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

  • Ding Shifeng
  • Liu Weijun
Keywords: Block-transitive, Design, Weil's Theorem

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$(1, q)$.

Published
2012-09-27
Article Number
P35