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Signed groups, sequences, and the asymptotic existence of Hadamard matrices

โœ Scribed by R Craigen

Book ID
118382781
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
691 KB
Volume
71
Category
Article
ISSN
0097-3165

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โœ R. Craigen; W. H. Holzmann; H. Kharaghani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB ๐Ÿ‘ 2 views

Let N = N (q) be the number of nonzero digits in the binary expansion of the odd integer q. A construction method is presented which produces, among other results, a block circulant complex Hadamard matrix of order 2 ฮฑ q, where ฮฑ โ‰ฅ 2N -1. This improves a recent result of Craigen regarding the asympt

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This paper contains a discussion of cocyclic Hadamard matrices, their associated relative difference sets, and regular group actions. Nearly all central extensions of the elementary abelian 2-groups by Z 2 are shown to act regularly on the associated group divisible design of the Sylvester Hadamard