Byard, KevinBroughan, Kevin A.2010-01-272010-01-272009Byard, K. & Broughan, K.A. (2009). Qualified difference sets from unions of cyclotomic classes. Bulletin of the Australian Mathematical Society, 80, 147-158.0004-9727https://hdl.handle.net/10289/3533Qualified 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.application/pdfenThis article has been published in the journal: Bulletin of the Australian Mathematical Society. © Copyright 2009 Australian Mathematical Society.qualified residue difference setsdifference setscyclotomyJournal Article10.1017/S0004972709000161