Contents

Ars Combinatoria

  • Research article

A Family of \(4\)-Designs on \(38\) Points

Dragan M.Acketa1, Vojislavy Mudrinski1
1Institute of Mathematics, University of Novi Sad, Trg D. Obradoviéa 4, 21000 Novi Sad, Serbia, Yugoslavia
  • Published: 31/10/1999

Abstract

Using a modification of the Kramer-Mesner method, \(4-(38,5,\lambda)\) designs are constructed with \(\text{PSL}(2,37)\) as an automorphism group and with \(\lambda\) in the set \(\{6,10,12,16\}\). It turns out also that there exists a \(4-(38,5,16)\) design with \(\text{PGL}(2,37)\) as an automorphism group.

Citation
Dragan M.Acketa, Vojislavy Mudrinski. A Family of \(4\)-Designs on \(38\) Points[J], Ars Combinatoria, Volume 053. 283-290. .