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New hadamard matrices of order 4p^2 obtained from Jacobi sums of order 16.

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New hadamard matrices of order 4p^2 obtained from Jacobi sums of order 16.

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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

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