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Classification of designs with nontrivial automorphism groups

✍ Scribed by Ziba Eslami

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 103 KB
Volume: 14
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20095

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✦ Synopsis

Abstract

In this article, we introduce a new orderly backtrack algorithm with efficient isomorph rejection for classification of t‐designs. As an application, we classify all simple 2‐(13,3,2) designs with nontrivial automorphism groups. The total number of such designs amounts to 1,897,386. The decomposability of the designs is also considered. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 479–489, 2006

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