Qualified difference sets from unions of cyclotomic classes

dc.contributor.author	Byard, Kevin
dc.contributor.author	Broughan, Kevin A.
dc.date.accessioned	2010-01-27T00:23:26Z
dc.date.available	2010-01-27T00:23:26Z
dc.date.issued	2009
dc.description.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.	en
dc.format.mimetype	application/pdf
dc.identifier.citation	Byard, K. & Broughan, K.A. (2009). Qualified difference sets from unions of cyclotomic classes. Bulletin of the Australian Mathematical Society, 80, 147-158.	en
dc.identifier.doi	10.1017/S0004972709000161	en
dc.identifier.issn	0004-9727
dc.identifier.uri	https://hdl.handle.net/10289/3533
dc.language.iso	en
dc.publisher	Cambridge University Press	en
dc.relation.isPartOf	Bulletin of the Australian Mathematical Society	en_NZ
dc.rights	This article has been published in the journal: Bulletin of the Australian Mathematical Society. © Copyright 2009 Australian Mathematical Society.	en
dc.subject	qualified residue difference sets	en
dc.subject	difference sets	en
dc.subject	cyclotomy	en
dc.title	Qualified difference sets from unions of cyclotomic classes	en
dc.type	Journal Article	en
pubs.begin-page	147	en_NZ
pubs.elements-id	34245
pubs.end-page	158	en_NZ
pubs.issue	01	en_NZ
pubs.volume	80	en_NZ