On abelian $(2^{2m+1}(2^{m-1}+1), 2^m(2^m+1), 2^m)$-difference sets

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dc.creatorArasu, K. T.
dc.creatorChen, Yu Qing
dc.creatorPott, Alexander
dc.date2005-08-04
dc.date.accessioned2026-07-07T05:22:13Z
dc.date.available2026-07-07T05:22:13Z
dc.descriptionIn this paper we prove that an abelian group contains $(2^{2m+1}(2^{m-1}+1), 2^m(2^m+1), 2^m)$-difference sets with $m\geqslant 3$ if and only if it contains an elementary abelian 2-group of order $2^{2m}$. Our proof shows that the method of constructing such difference sets is essentially unique.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0508086
dc.identifierhttp://arxiv.org/abs/math/0508086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75977
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject05B10
dc.titleOn abelian $(2^{2m+1}(2^{m-1}+1), 2^m(2^m+1), 2^m)$-difference sets
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