New 5-designs with automorphism group PSL (2, 23)

Masaaki Kitazume, Akihiro Munemasa

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Blocks of the unique Steiner system S(5, 8, 24) are called octads. The group PSL(2, 23) acts as an automorphism group of this Steiner system, permuting octads transitively. Inspired by the discovery of a 5-(24, 10, 36) design by Gulliver and Harada, we enumerate all 4-and 5-designs whose set of blocks are union of PSL(2, 23)-orbits on 10-subsets containing an octad.

Original languageEnglish
Pages (from-to)147-155
Number of pages9
JournalJournal of Combinatorial Designs
Volume7
Issue number2
DOIs
Publication statusPublished - 1999
Externally publishedYes

Keywords

  • Automorphism group
  • Design
  • Mathieu group

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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