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A construction for generalized hadamard matrices

✍ Scribed by Jennifer Seberry


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
496 KB
Volume
4
Category
Article
ISSN
0378-3758

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A construction for Hadamard matrices
✍ H. Kharaghani πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 317 KB

Kharaghani, H., A construction for Hadamard matrices, Discrete Mathematics 120 (1993) 115-120. Let 2% be the order of an Hadamard matrix. Using block Golay sequences, a class of Hadamard matrices of order (r + 4" + 1)4"+ 1 m2 is constructed, where r is the length of a Golay sequence.

Generalized Hadamard matrices whose tran
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## Abstract In answer to β€œResearch Problem 16” 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: 456–458, 2009

Hadamard matrices of generalized quatern
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Yamada, M., Hadamard matrices of generalized quaternion type, Discrete Mathematics 87 (1991) 187-196. Let G be a semi-direct product of a cyclic group of an odd order by a generalized quaternion group Q,. We consider the ring % obtained from the group ring ZG by identifying the elements f 1 in the c