On representation of Hadamard Codes

Abstract

Hadamard matrices (codes) were defined by the French mathematician M.J.Hadamard in 1893,[Hadamard," Resolution d’une question relative aux dêterminants" ,pp . 240-246,(1893)], called now Hadamard matrices.Hadamard matrix is a square array of +1,-1 whose rows and columns are mutually orthogonal.If the first row and first column contain only +1 ,the matrix is said to be in normal form.We can replace “+1” with “0” and “-1” with “1” to express Hadamard matrix using the logic elements {0,1}.