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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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Title: New hadamard matrices of order 4p^2 obtained from Jacobi sums of order 16
Author: Bernhard, Schmidt; Ma, Siu Lun; Leung, Ka Hin
Copyright year: 2006
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.
Subject: DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics.
Type: Journal Article
Series/ Journal Title: Journal of combinatorial theory series A.
School: School of Physical and Mathematical Sciences
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.
Version: Accepted version

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