Partial geometric designs and difference families

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2015-01-01
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Nowak, Kathleen
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Sung Yell Song
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Altmetrics
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Mathematics
Abstract

We examine the designs produced by different types of difference families. Difference families have long been known to produce designs with well behaved automorphism groups. These designs provide the elegant solutions desired for applications. In this work, we explore the following question: Does every (named) design have a difference family analogue? We answer this question in the affirmative for partial geometric designs.

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Thu Jan 01 00:00:00 UTC 2015