ISSN 1991-2927
 

ACP № 1 (59) 2020

Author: "Georgii Mikhailovich Tamrazian"

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УДК 621.391.037.3

Dmitrii Vladimirovich Ganin, Candidate of Sciences in Economics; graduated from the Nizhny Novgorod Agricultural Academy; Vice-rector for Research and Innovation, Associate Professor of the Department of Infocommunication Technologies and Communication Systems of the Nizhny Novgorod State University of Engineering and Economics; an author of articles and patents of the Russian Federation in the field of noise- resistant coding and data recovery systems. e-mail: ngiei135@mail.ruD.V. Ganin,

Georgii Mikhailovich Tamrazian, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University; Engineer of Federal Research-and-Production Center Joint Stock Company ‘Research-and-Production Association ‘Mars’; an author of research papers, and patents in the field of noiseless coding and information security. e-mail: tamrazz@bk.ruG.M. Tamrazian,

Sergei Valentinovich Shakhtanov, Senior Lecturer of the Department of Infocommunication Technologies and Communication Systems of the Nizhny Novgorod State University of Engineering and Economics; an author of publications in the field of noise-resistant coding and information protection. e-mail: r155p@bk.ruS.V. Shakhtanov,

Basem Said,, Postgraduate Student of the Department of Telecommunications of Ulyanovsk State Technical University; graduated from UlSTU with a Master’s degree in Telecommunication Technologies and Communication Systems; an author of publications in the field of noise-resistant coding and information protection. e-mail: alsamery@mail.ruB. Said,

Anastasiia Denisovna Bakurova, Bachelor Student of the Department of Telecommunications of Ulyanovsk State Technical University in the field of Infocommunication Technologies and Communication Systems; an author of publications in the field of noise-resistant coding and information protection. e-mail: bakurova.ad@mail.ruA.D. Bakurova

A procedure for finding a set of degenerate matrices in a binary block code permutation system58_9.pdf

The features of permutation decoding (PD) of block noise-resistant codes in modern data exchange systems were discussed in articles [1–5]. The main of them are: asymptotically better in comparison with the known algorithms possibilities for error correction due to the full use of the redundancy introduced into the code; the possibility of using progressive technologies related to cognitive methods of data processing in relation to the decoding procedure; exceptions to the decoding procedure of complex algorithms for finding error locators and their subsequent correction; intelligible use of the properties of cyclic permutations of column numerators generating matrix codes in order to significantly reduce the memory of the cognitive card decoder. At the same time, several important directions in the use of the PD system remain undisclosed. Primarily, it is advisable to include such areas to research related to the search features of the cascade designs block codes, while a non-binary code is used at the outer processing stage and this appropriate binary block code is implemented at the internal stage. The main disadvantage of binary codes is the ambiguity of permutations of the column numerators of the generating matrices of such codes, which in some cases lead to the formation of degenerate information matrices, and do not provide an equivalent code in this case. For this reason, the identification of these permutations at the design stage of binary codecs is of fundamental importance. Authors pay a special attention to the methods of regular search of a set of degenerate matrices of arbitrary block codes in order to replace them promptly with benign permutations and to preserve the General rate of data processing in the system of cascade construction. This is very important for optical communication lines when implementing complex types of modulation in conjunction with the forward error correction.

Generating code matrix, permutation decoding, cognitive decoder map.

2019_ 4

Sections: Mathematical modeling

Subjects: Mathematical modeling.

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