Prolific Generation of Williamson Type Matrices

α
Dr. M.K.Singh
Dr. M.K.Singh
σ
Sandip Dutta
Sandip Dutta
ρ
N C Mahanti
N C Mahanti
α Ranchi University

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Prolific Generation of Williamson Type Matrices

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Abstract

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.

References

18 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

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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May 7, 2011

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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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Prolific Generation of Williamson Type Matrices

Dr. M.K.Singh
Dr. M.K.Singh Ranchi University
Sandip Dutta
Sandip Dutta
N C Mahanti
N C Mahanti

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