On the hadamard product of balancing matrix and balancing matrix

Abstract

In this paper, the matrix QnB ◦ Q−nB which is the Hadamard product of both balancing QnB matrix and balancing Q−nB matrix is introduced. Some properties of the Hadamard product of these matrices are investigated. A different coding and decoding method based on the application of the Hadamard product of balancing QnB matrix and balancing Q−nB matrix is also considered.