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Hadamard matrices have many application in computer science and communication technology. It is shown that two classical methods of constructing Hadamard matrices viz., those of Paley’s and Williamson’s can be unified and Paley’s and Williamson’s Hadamard matrices can be constructed by a uniform method i.e. producing an association scheme or coherent configuration by Frobenius group action and then producing Hadamard matrices by taking suitable (1-1) -linear combinations of adjacency matrices of the coherent configuration.
M.K.Singh. 1970. \u201cCONSTRUCTION OF HADAMARD MATRICES FROM CERTAIN FROBENIUS GROUP\u201d. Unknown Journal GJCST Volume 11 (GJCST Volume 11 Issue 10): .
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Total Score: 102
Country: India
Subject: Uncategorized
Authors: M.K.Singh , P.K.Manjhi (PhD/Dr. count: 0)
View Count (all-time): 182
Total Views (Real + Logic): 20796
Total Downloads (simulated): 11171
Publish Date: 1970 01, Thu
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Hadamard matrices have many application in computer science and communication technology. It is shown that two classical methods of constructing Hadamard matrices viz., those of Paley’s and Williamson’s can be unified and Paley’s and Williamson’s Hadamard matrices can be constructed by a uniform method i.e. producing an association scheme or coherent configuration by Frobenius group action and then producing Hadamard matrices by taking suitable (1-1) -linear combinations of adjacency matrices of the coherent configuration.
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