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Publication Date:
31 08 2009
DOI:
10.1515/INTEG.2009.032

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Integers

Editor-in-Chief: Nathanson, Melvyn B. / Nešetril, Jaroslav / Pomerance, Carl

6 Issues per year

Mathematical Citation Quotient 2010: 0.20

Twelfth Power Qualified Residue Difference Sets

Byard, Kevin 1

1Institute of Information and Mathematical Sciences, Massey University, Albany, North Shore, Auckland, New Zealand. E-mail:

Citation Information: Integers. Volume 9, Issue 4, Pages 401–410, ISSN (Print) 1867-0652, DOI: 10.1515/INTEG.2009.032, August 2009

Publication History:

Received: 16/05/2008;
Revised: 24/02/2009;
Accepted: 05/03/2009;
Published Online: 05/03/2012

Abstract

Qualified residue difference sets of power n are known to exist for n = 2, 4, 6, as do similar sets that include the zero element, while both classes of set are known to be nonexistent for n = 8 and n = 10. Both classes of set are proved nonexistent for n = 12.

Keywords.: Qualified residue difference sets; difference sets; cyclotomy

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