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An extension of building sets and relative difference sets

✍ Scribed by Xiang-dong Hou; Surinder K. Sehgal

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 109 KB
Volume: 8
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(2000)8:1<50::aid-jcd7>3.0.co;2-t

No coin nor oath required. For personal study only.

✦ Synopsis

Building sets are a successful tool for constructing semi-regular divisible difference sets and, in particular, semi-regular relative difference sets. In this paper, we present an extension theorem for building sets under simple conditions. Some of the semi-regular relative difference sets obtained using the extension theorem are new in the sense that their ambient groups have smaller ranks than previously known.

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