On the Hadamard Product of Balancing Matrix and Balancing Matrix

Abstract

In this paper, the matrix Q n B ◦ Q −n B which is the Hadamard product of both balancing Q n B matrix and balancing Q −n B 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 Q n B matrix and balancing Q −n B matrix is also considered