| dc.contributor.author |
Bernhard, Schmidt. |
| dc.contributor.author |
Ma, Siu Lun. |
| dc.contributor.author |
Leung, Ka Hin. |
| dc.date.accessioned |
2009-08-12T06:14:11Z |
| dc.date.available |
2009-08-12T06:14:11Z |
| dc.date.copyright |
2006 |
| dc.date.issued |
2009-08-12T06:14:11Z |
| dc.identifier.citation |
Schmidt, B., Ma, S. L., & Ka, H. L. (2006). New Hadamard Matrices of Order 4p^2 obtained from Jacobi Sums of Order 16. Journal of Combinatorial Theory Series A, 113(5), 822-838. |
| dc.identifier.issn |
0097-3165 |
| dc.identifier.uri |
http://hdl.handle.net/10220/6066 |
| dc.description.abstract |
Let p=7 mod 6 be a prime. Then there are integers a,b,c,d with a=15 mod 6, b= 0 mod 4, p^2=a^2+2(b^2+c^2+d^2), and 2ab=c^2-2cd-d^2. We show that there is a regular Hadamard matrix of order 4p2 provided that p=a±2b or p=a+δ12b+4δ2c+4δ1δ2d with δi=±1. |
| dc.format.extent |
18 p. |
| dc.language.iso |
en |
| dc.relation.ispartofseries |
Journal of combinatorial theory series A. |
| dc.rights |
Journal of Combinatorial Theory Series A © copyright 2006 Elsevier. The journal's website is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WHS-4JRVFR6-1&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=21abc0c7c783ebc249d071647769d03e. |
| dc.subject |
DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics. |
| dc.title |
New hadamard matrices of order 4p^2 obtained from Jacobi sums of order 16. |
| dc.type |
Journal Article |
| dc.contributor.school |
School of Physical and Mathematical Sciences |
| dc.identifier.doi |
http://dx.doi.org/10.1016/j.jcta.2005.07.011 |
| dc.description.version |
Accepted version |
