Combinatorial Properties of the Difference Set With Respect to CPHMs of Row Sum 0 and 2

Authors

DOI:

https://doi.org/10.26713/cma.v16i2.3214

Keywords:

Hadamard matrix, Circulant Partial Hadamard Matrix (CPHM), General difference set

Abstract

This article investigates the combinatorial properties of difference sets within the cyclic group \(\mathbb{Z}_n\), specifically in the context of Circulant Partial Hadamard Matrices (CPHMs). We examine the structural characteristics and establish relationships between difference sets associated with \(2\text{-}H(m \times n)\) and \(0\text{-}H(m \times n)\) matrices. Our results provide insights into the interplay between these matrix classes and their corresponding difference sets, contributing to the broader understanding of their applications in combinatorial design theory.

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Published

20-08-2025
CITATION

How to Cite

Manjhi, P. K., & Kumar, J. (2025). Combinatorial Properties of the Difference Set With Respect to CPHMs of Row Sum 0 and 2. Communications in Mathematics and Applications, 16(2), 569–579. https://doi.org/10.26713/cma.v16i2.3214

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

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