There exist nonisomorphic STS(19) with equivalent point codes

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3 Citations (Scopus)

Abstract

The rows of a point by block incidence matrix of a design can be used to generate a code, the point code of the design. It is known that binary point codes of non‐isomorphic Steiner triple systems of order hr STS(v), are inequivalent when v ≤ 15, but whether this also holds for higher orders has been open. In the current paper, an example of two non‐isomorphic STS(19) with equivalent point codes is presented. © 2004 Wiley Periodicals, Inc.
Original languageEnglish
Pages (from-to)443-448
JournalJournal of Combinatorial Designs
Volume12
Issue number6
DOIs
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed

Keywords

  • code equivalence
  • design isomorphism
  • point code
  • Steiner triple system

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