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Constructions of Relative Difference Sets with Classical Parameters and Circulant Weighing Matrices

✍ Scribed by Ka Hin Leung; Siu Lun Ma; Bernhard Schmidt

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 173 KB
Volume: 99
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2002.3262

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✦ Synopsis

In this paper, a new family of relative difference sets with parameters ðm; n; k; lÞ ¼ ððq 7 À 1Þ=ðq À 1Þ; 4ðq À 1Þ; q 6 ; q 5 =4Þ is constructed where q is a 2-power. The construction is based on the technique used in [2]. By a similar method, we also construct some new circulant weighing matrices of order q dÀ1 where q is a 2-power, d is odd and d55: # 2002 Elsevier Science (USA)

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