On Construction of Hadamard Rhotrix using a Special Type of Mn- Matrix

Abstract

The Hadamard matrix H is a square matrix with all the entries +1’s or -1’s which satisfies the property HHT = n In. Rhotrix is a new concept for mathematical enrichment with much scope for research and has a wide range of applications in coding theory and cryptography. Mn–matrix is also a matrix with  1 entry, like the Hadamard matrix, but the orthogonality property is not satisfied. It is shown in this paper that Hadamard matrices and thereby Hadamard rhotrices can be constructed by using a special type of Mn-matrix, named N- matrix, which is a unique approach.