A cryptographic use indicator matrices systems Walsh functions

Authors

  • Анатолий Яковлевич Белецкий National Aviation University

DOI:

https://doi.org/10.18372/2410-7840.18.10107

Keywords:

system of Walsh functions, display matrix systems Walsh generalized Gray codes, two-dimensional discrete Fourier transform, cryptographic protection of video packets

Abstract

The article deals with the formation and application of cryptographic systems, symmetric Walsh functions binary power order. A synthesis system is based on their indicator matrices. The indicator is right-sided symmetric (0,1)-matrix, i.e. matrix, symmetric with respect to the auxiliary di-agonal, non-degenerate in the ring of residues modulo 2. The order of test matrices is a logarithmic dependence on the order of the Walsh system. The decision marked the problem of the synthesis of the so-called direct problem Walsh. The inverse problem is that for a given matrix of Walsh matrix to calculate its tally. The problem of the development of algorithms for cryptographic protection of video packets transmitted over the air on board unmanned aircraft. Kripto transform reduced to a two-dimensional fast Fourier transform in the basis of the video systems Walsh functions are protected from unauthorized access. Establishes the right permutation counts discrete input signal processor FFT calculates the spectrum of the signal in a given basis Walsh functions

Author Biography

Анатолий Яковлевич Белецкий, National Aviation University

Doctor of Science, Professor, Honored Scientist of Ukraine, Laureate of the State Prize of Ukraine in Science and Technology, Professor of Department Elec-tronics of National Aviation University.

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Published

2016-03-23

Issue

Vol. 18 No. 1 (2016)

Section

Articles

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