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Cyclic Relative Difference Sets with Classical Parameters

✍ Scribed by K.T. Arasu; J.F. Dillon; Ka Hin Leung; Siu Lun Ma

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 121 KB
Volume: 94
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2000.3137

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✦ Synopsis

We investigate the existence of cyclic relative difference sets with parameters ((q d &1)Â(q&1), n, q d&1 , q d&2 (q&1)Ân), q any prime power. One can think of these as liftings'' or extensions'' of the complements of Singer difference sets. When q is odd or d is even, we find that relative difference sets with these parameters exist if and only if n is a divisor of q&1. In case q is even and d is odd, relative difference sets with these parameters exist if and only if n is a divisor of 2(q&1).

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