Mutually disjoint Steiner systems S(5, 8, 24) and 5-(24, 12, 48) designs

Makoto Araya, Masaaki Harada

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We demonstrate that there are at least 50 mutually disjoint Steiner systems S(5, 8, 24) and there are at least 35 mutually disjoint 5-(24, 12, 48) designs. The latter result provides the existence of a simple 5-(24, 12, 6m) design for m = 24, 32, 40, 48, 56, 64, 72, 80, 112, 120, 128, 136, 144, 152, 160, 168, 200, 208, 216, 224, 232, 240, 248 and 256.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalElectronic Journal of Combinatorics
Volume17
Issue number1
DOIs
Publication statusPublished - 2010
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Mutually disjoint Steiner systems S(5, 8, 24) and 5-(24, 12, 48) designs'. Together they form a unique fingerprint.

  • Cite this