Advances and Applications in Discrete Mathematics
Volume 28, Issue 2, Pages 217 - 233
(November 2021) http://dx.doi.org/10.17654/DM028020217 |
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CONSTRUCTION OF AMICABLE MATRICES AND GENERALIZED ORTHOGONAL DESIGNS OVER THE PRIME FIELDS
S. M. E. K. Chowdhury, M. Forkan, S. Islam and M. Rahman
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Abstract: Generalized orthogonal designs have many useful applications in statistics, web engineering, and coding theory along with signal processing. In this paper, for every prime number we develop a method of constructing a set of four circulant amicable matrices satisfying is the identity matrix of order n) over the prime field Using these matrices with T-matrices, we suggest some approaches to construct infinite classes of generalized orthogonal designs (GODs) over the prime fields
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Keywords and phrases: orthogonal designs, generalized orthogonal designs, amicable matrices, T-matrices, prime field.
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