There exist non‐isomorphic STS(19) with equivalent point codes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 English Publisher:WileyJournal:Journal of Combinatorial Designs, volume 12, pages 443-448 (issn: 1063-8539, eissn: 1520-6610,

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Authors: Östergård Patric; Kaski Petteri;

doi: 10.1002/jcd.20007

There exist non‐isomorphic STS(19) with equivalent point codes

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Abstract

AbstractThe 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 whenv ≤ 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.

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Keywords

Steiner triple system, point code, Triple systems, design isomorphism, code equivalence

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