Geodesic
Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type
Ding Shifeng1 ; Liu Weijun
1Central South University,Hunan Changsha, 410083
The electronic journal of combinatorics, Tome 19 (2012) no. 3
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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$(1, q)$.
DOI : 10.37236/2424
Classification : 05B05, 20B25
Mots-clés : block-transitive automorphism groups, Weil's theorem

Ding Shifeng  1   ; Liu Weijun 

1 Central South University,Hunan Changsha, 410083 
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     author = {Ding Shifeng and Liu Weijun},
     title = {Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {3},
     doi = {10.37236/2424},
     zbl = {1253.05039},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2424/}
}
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Ding Shifeng; Liu Weijun. Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2424

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