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Qualified difference sets from unions of cyclotomic classes

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.
Type
Journal Article
Type of thesis
Series
Citation
Byard, K. & Broughan, K.A. (2009). Qualified difference sets from unions of cyclotomic classes. Bulletin of the Australian Mathematical Society, 80, 147-158.
Date
2009
Publisher
Cambridge University Press
Degree
Supervisors
Rights
This article has been published in the journal: Bulletin of the Australian Mathematical Society. © Copyright 2009 Australian Mathematical Society.