Qualified difference sets from unions of cyclotomic classes

Byard, Kevin; Broughan, Kevin A.

doi:10.1017/S0004972709000161

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DOI

10.1017/S0004972709000161

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Byard, K. & Broughan, K.A. (2009). Qualified difference sets from unions of cyclotomic classes. Bulletin of the Australian Mathematical Society, 80, 147-158.

Permanent Research Commons link: https://hdl.handle.net/10289/3533

Abstract

Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n=4,6,8 and 10. Two new families were discovered in the case n=8 and some new isolated systems were discovered for n=6 and n=10.

Date

2009

Type

Journal Article

Publisher

Cambridge University Press

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Computing and Mathematical Sciences Papers [1455]