A sharp exponent bound for McFarland difference sets with p=2.

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A sharp exponent bound for McFarland difference sets with p=2.

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dc.contributor.author Ma, Siu Lun.
dc.contributor.author Bernhard, Schmidt.
dc.date.accessioned 2009-08-12T04:34:27Z
dc.date.available 2009-08-12T04:34:27Z
dc.date.copyright 1997
dc.date.issued 2009-08-12T04:34:27Z
dc.identifier.citation Ma, S. L., & Schmidt, B. (1997). A Sharp Exponent Bound for McFarland Difference Sets with p=2. Journal of Combinatorial Theory Series A, 80(2), 347-352.
dc.identifier.issn 0097-3165
dc.identifier.uri http://hdl.handle.net/10220/6065
dc.description.abstract We show that under the self-conjugacy condition a McFarland difference set with p=2 and f≥ in an abelian group G can only exist,if the exponent of the Sylow 2-subgroups does not exceed 4.The method also works for odd p(where the exponent bound is p and is necessary and sufficient),so that we obtain a unified proof of the exponent bounds for MacFarland difference sets.We also correct a mistake in the proof of an exponent bound for (320,88,24)-difference sets in a previous paper.
dc.format.extent 7 p.
dc.language.iso en
dc.relation.ispartofseries Journal of combinatorial theory series A.
dc.rights Journal of combinatorial theory series A © copyright 1997 Elsevier. The journal's website is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WHS-45M2VN1-Y&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=3841d3c75767e278ab1ea79822038c24.
dc.subject DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics.
dc.title A sharp exponent bound for McFarland difference sets with p=2.
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1006/jcta.1997.2808
dc.description.version Accepted version

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