| 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 |