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|Title:||A sharp exponent bound for McFarland difference sets with p=2||Authors:||Ma, Siu Lun.
|Keywords:||DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics||Issue Date:||1997||Source:||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.||Series/Report no.:||Journal of combinatorial theory series A.||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.||URI:||https://hdl.handle.net/10356/91549
|ISSN:||0097-3165||DOI:||http://dx.doi.org/10.1006/jcta.1997.2808||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.||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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