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A new method of generating Williamson type Matrices A, B, C, D is described such that (i) A, B, C, D are symmetric. (ii) A, B, C are circulant matrices and D is a back circulant matrix. All such Williamsom type matrices of order n = 7, 9, 11, 13, 15, 17 are obtained by exhaustive computer search. The number of Williamson type Matrices constructed here is much greater than that of Williamson Matrices of same order. For example there are only 4 Williamson Matrices of order 17 but by our method we have obtained 504 Williamson type Matrices of order 17.
Dr. M.K.Singh. 1970. \u201cProlific Generation of Williamson Type Matrices\u201d. Unknown Journal GJCST Volume 11 (GJCST Volume 11 Issue 8): .
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Total Score: 108
Country: India
Subject: Uncategorized
Authors: Dr. M.K.Singh, Sandip Dutta, N C Mahanti (PhD/Dr. count: 1)
View Count (all-time): 113
Total Views (Real + Logic): 20649
Total Downloads (simulated): 10960
Publish Date: 1970 01, Thu
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A new method of generating Williamson type Matrices A, B, C, D is described such that (i) A, B, C, D are symmetric. (ii) A, B, C are circulant matrices and D is a back circulant matrix. All such Williamsom type matrices of order n = 7, 9, 11, 13, 15, 17 are obtained by exhaustive computer search. The number of Williamson type Matrices constructed here is much greater than that of Williamson Matrices of same order. For example there are only 4 Williamson Matrices of order 17 but by our method we have obtained 504 Williamson type Matrices of order 17.
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