On Construction of Hadamard Matrices
Shipra Kumari, Hrishikesh Mahato
TL;DR
This paper presents a method for constructing Hadamard matrices of order 4t using block matrices and skew Hadamard matrices, expanding the known classes of these matrices through structural modifications.
Contribution
It introduces a novel construction technique for Hadamard matrices based on skew Hadamard matrices and block matrix manipulations.
Findings
Constructed Hadamard matrices of order 4t for certain parameters
Utilized Kronecker product to modify skew Hadamard matrices
Expanded the known set of Hadamard matrices with new constructions
Abstract
In this article, a series of Hadamard matrix has been developed using some block matrices with the help of skew Hadamard matrix. Basically an internal structure of skew Hadamard matrix has been changed with some block matrices using kronecker product. For some parameter, Hadamard matrices of order 4t where t is an integer, has been found.
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Taxonomy
Topicsgraph theory and CDMA systems