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Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/104042
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dc.titleRelative (pa, pb, pa, pa-b-Difference Sets: A Unified Exponent Bound and a Local Ring Construction
dc.contributor.authorMa, S.L.
dc.contributor.authorSchmidt, B.
dc.date.accessioned2014-10-28T02:44:34Z
dc.date.available2014-10-28T02:44:34Z
dc.date.issued2000-01
dc.identifier.citationMa, S.L.,Schmidt, B. (2000-01). Relative (pa, pb, pa, pa-b-Difference Sets: A Unified Exponent Bound and a Local Ring Construction. Finite Fields and their Applications 6 (1) : 1-22. ScholarBank@NUS Repository.
dc.identifier.issn10715797
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104042
dc.description.abstractWe show that for an odd prime p the exponent of an abelian group of order pa+b containing a relative (pa, pb, pa, pa-b)-difference set cannot exceed p⌊a/2⌋+1. Furthermore, we give a new local ring construction of relative (q2u, q, q2u, q2u-1)-difference sets for prime powers q. Finally, we discuss an important open case concerning the existence of abelian relative (pa, p, pa, pa-1)-difference sets. © 2000 Academic Press.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitleFinite Fields and their Applications
dc.description.volume6
dc.description.issue1
dc.description.page1-22
dc.identifier.isiutNOT_IN_WOS
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