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Title: A sharp exponent bound for McFarland difference sets with p=2
Authors: Ma, Siu Lun.
Bernhard, Schmidt.
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.
ISSN: 0097-3165
Rights: Journal of combinatorial theory series A © copyright 1997 Elsevier. The journal's website is located at
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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