Equivalence of Hadamard matrices and pseudo-noise matrices
Tom Bella, Vadim Olshevsky, Lev Sakhnovich · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2005
Several classes of structured matrices (e.g., the Hadamard-Sylvester matrices and the pseudo-noise matrices) are used in the design of error-correcting codes. In particular, the columns of matrices belonging to the above two matrix classes are often used as codewords. In this paper we show that the two above classes essentially coincide: the pseudo-noise matrices can be obtained from the Hadamard-Sylvester matrices by means of the row/column permutations.