ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

5
Issue
vol 60 / MAY, 2017
Article
UDC 519.61:511-33

CALCULATION OF MERSENNE MATRICES BY PALEY METHOD

N. A. Balonin
Saint Petersburg State University of Aerospace Instrumentation (SUAI), Saint Petersburg, Russia; Professor


M. B. Sergeev
Saint Petersburg State University of Aerospace Instrumentation (SUAI); Research Institute of Information and Control Systems of the National Research University of Information Technologies, Mechanics and Optics; Department head; Director


Abstract. A modified Paley method for calculation of Mersenne matrix of arbitrary order equal to a prime number is presented. An example of Mersenne matrix calculation is analyzed. Comparison of Mersenne matrices obtained with the use of the modified Sylvester and Paley methods is carried out. Effectiveness of the proposed method is analyzed with respect to the universal procedure of M-matrix retrieval.
Keywords: secure coding, data processing, orthogonal matrices, quasi-orthogonal matrices, Hadamard matrices, Mersenne matrices, Sylvester method, Scarpis method, Paley method