Article ID Journal Published Year Pages File Type
4656466 Journal of Combinatorial Theory, Series A 2006 17 Pages PDF
Abstract

Let be a prime. Then there are integers a,b,c,d with , , p2=a2+2(b2+c2+d2), and 2ab=c2-2cd-d2. 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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics