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.
|Number of pages||9|
|Journal||Journal of Combinatorial Designs|
|Publication status||Published - 1999|
- Automorphism group
- Mathieu group
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics