Point Code Minimum Steiner Triple Systems

Charles J. Colbourn, Alan C.H. Ling

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

The point code of a Steiner triple system uniquely determines the system when the number of vectors whose weight equals the replication number agrees with the number of points. The existence of a Steiner triple system with this minimum point code property is established for all v ≡ 1, 3 (mod 6) with v ≥ 15.

Original languageEnglish (US)
Pages (from-to)141-146
Number of pages6
JournalDesigns, Codes, and Cryptography
Volume14
Issue number2
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

Keywords

  • Complete arc
  • Independent set
  • Point code
  • Steiner triple system

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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