✦ LIBER ✦

An infinite class of Hadamard matrices of maximal excess

✍ Scribed by H. Kharaghani

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 308 KB
Volume: 89
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90123-j

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✦ Synopsis

We show that if there is a skew-Hadamard matrix of order m then there is an Hadamard matrix of order 4m2 -4m whose excess attains the maximum possible bound predicted by S. Kounias and N. Farmakis, On the excess of Hadamard matrices, Discrete Mathematics 68 (1988) 59-69. That is a(4m* -4m) = 4(m -1)*(2m + 1).

In particular if ~"'3 (mod4) is a prime power, a class of Hadamard matrices of order 4~'~ + 4p" with maximum excess a(4p*" + 4p ") = 4p*"(2p (I + 3) is constructed.

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