Prolific Generation of Williamson Type Matrices

Dr. M.K.Singh; Sandip Dutta; N C Mahanti

Prolific Generation of Williamson Type Matrices

Dr. M.K.Singh * §

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Sandip Dutta

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N C Mahanti

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§ Ranchi University, Ranchi, India

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

Reference Format

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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, Sandip Dutta, N C Mahanti. . "Prolific Generation of Williamson Type Matrices". Global Journal of Computer Science and Technology GJCST Volume 11 (GJCST Volume 11 Issue 8).

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GJCST Volume 11 Issue 8

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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

Keywords

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Classification

GJCST Classification F.2.1

G.1.3

Submission ReceivedMarch 28, 2011
Peer Review Double Blind
Handling Editor
Accepted April 20, 2011
Published May 4, 2011

Version of record

v1.2

Issue date

May 7, 2011

Language

English

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Article Matrices

Total Score: 148

Country: India

Subject: Global Journal of Computer Science and Technology

Authors: Dr. M.K.Singh, Sandip Dutta, N C Mahanti (PhD/Dr. count: 1)

View Count (all-time): 244

Total Views (Real + Logic): 6990

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Publish Date: 2011 05, Wed

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Total Views: 7K

Total Downloads: 316

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