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

Ding Shifeng; Liu Weijun

doi:10.37236/2424

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

Ding Shifeng
Liu Weijun

DOI: https://doi.org/10.37236/2424

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

Issue

Volume 19, Issue 3 (2012)

Article Number

P35