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
β¦ LIBER β¦
Deciding Hadamard equivalence of Hadamard matrices
β Scribed by Charles J. Colbourn; Marlene J. Colbourn
- Publisher
- Springer Netherlands
- Year
- 1981
- Tongue
- English
- Weight
- 164 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
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## Abstract In answer to βResearch Problem 16β in Horadam's recent book __Hadamard matrices and their applications__, we provide a construction for generalized Hadamard matrices whose transposes are not generalized Hadamard matrices. Β© 2009 Wiley Periodicals, Inc. J Combin Designs 17: 456β458, 2009