✦ LIBER ✦
There exist non-isomorphic STS(19) with equivalent point codes
✍ Scribed by Petteri Kaski; Patric R. J. Östergård
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 109 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
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.