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Hadamard Matrices from Weighing Matrices via Signed Groups

✍ Scribed by R. Craigen; H. Kharaghani

Book ID: 110260668
Publisher: Springer
Year: 1997
Tongue: English
Weight: 83 KB
Volume: 12
Category: Article
ISSN: 0925-1022
DOI: 10.1023/a:1008241809111

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In this paper, we prove that the concepts of cocyclic Hadamard matrix and Hadamard group are equivalent. A general procedure for constructing Hadamard groups and classifying such groups on the basis of isomorphism type is given. To illustrate the ideas, cocyclic Hadamard matrices over dihedral group