ISSN 1991-2927
 

ACP № 3 (61) 2020

Author: "Sergei Valentinovich Shakhtanov"

Nikolai Iurevich Babanov, Doctor of Sciences in Engineering; graduated from Lobachevski State University of Nizhny Novgorod; Vice-Rector for Development Programmes of Nizhny Novgorod State Technical University n.a. R.E. Alekseev; an author of articles and monographs in the field of signal processing and information security. e-mail: babanov@nntu.ruN. Babanov,

Anatolii Afanasevich Gladkikh, Doctor of Sciences in Engineering; graduated from the Marshal Budjonny Military Academy of Signal Corps; completed his postgraduate studies at the Military Academy of Communications; Professor at the Department of Telecommunications of Ulyanovsk State Technical University; an author of monographs, textbooks, articles, and patents in the field of noise-immune coding and information security. e-mail: a.gladkikh@ulstu.ruA. Gladkikh,

Sergei Mikhailovich Namestnikov, Candidate of Sciences in Engineering; graduated from Ulyanovsk State Technical University, completed postgraduate studies at UlSTU; Associate Professor of the Department of Telecommunications at UlSTU; an author of articles in the field of statistical signal processing. e-mail: sernam@ ulstu.ruS. Namestnikov,

Sergei Valentinovich Shakhtanov, graduated from the Leningrad Higher Military Engineering School of Communications; Senior Lecturer of the Department of Infocommunication Technologies and Communication Systems at Nizhny Novgorod State Engineering and Economic University; an author of articles in the field of noise-immune coding and information security. e-mail: r155p@bk.ruS. Shakhtanov

Properties of cyclic structures in the system of permutation decoding of redundant codes 60_11.pdf

The practice of using optical cables as part of large data centers is gaining a steady trend of switching from single-mode fibers to their multimode counterparts. This is due to a number of economic indicators that are advantageous for multimode fibers and their wide capabilities to transmit significant amounts of data at high speeds over short distances within the boundaries of a specific object. For this reason, a similar trend is beginning to be observed in transport infrastructure, aircraft and shipbuilding. At the same time, the objectively expected loss in terms of the bit error rate in multimode cables is successfully compensated by means of noise-tolerant encoding. In this regard, there is an increased interest in permutation decoding systems for systematic redundant codes that allow the use of cognitive methods of digital data processing. This provides an adequate acceleration of the decoding procedure for such codes at time intervals close to the speed of data exchange in optical cables. The time gain is achieved by preliminary calculation of generating matrices of equivalent codes, the structure of which is set by stochastic permutation of the symbols of the accepted combinations depending on the current interference vector. The result of this calculation is stored in the decoder's cognitive map. Due to this, the time required for rapid calculation of the equivalent code is replaced by a short search time for the finished matrix from the memory of the cognitive map using the cyclic properties of permutations.

Soft symbol solution, permutation, permutation orbits, equivalent code, permutation decoding, cognitive decoder map.

2020_ 2

Sections: Electrical engineering and electronics

Subjects: Electrical engineering and electronics.



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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.

Ivan Iurevich Davydov, Ulyanovsk State Technical University, graduated with a Master degree from Ulyanovsk State Technical University in Telecommunication Technologies and Communication Systems; a postgraduate student of the Department of Telecommunications of Ulyanovsk State Technical University; an author of articles in the field of error-proof coding and information security. [e-mail: 1Davydov2i@gmail.com]I. Davydov,

Denis Aleksandrovich Kozlov, Ulyanovsk Transport (Aviation) Security Center, graduated from the Ulyanovsk Institute of Civil Aviation; Head of Ulyanovsk Transport (Aviation) Security Center; a postgraduate student of the Department of Aviation Security Assurance at the Ulyanovsk Institute of Civil Aviation named after Chief Air Marshal B.P. Bugaev; an author of articles in the field of aviation security. [e-mail: peccab@mail.ru]D. Kozlov,

Sergei Valentinovich Shakhtanov, Nizhny Novgorod State University of Engineering and Economics, Cgraduated from the Leningrad Higher Military Engineering School of Communications; Senior Lecturer of the Department of Infocommunication Technologies and Communication Systems at the Nizhny Novgorod State University of Engineering and Economics; an author of publications in the field of error-proof coding and information protection. [e-mail: r155p@bk.ru]S. Shakhtanov,

Mariia Iurevna Shibaeva, Nizhny Novgorod State University of Engineering and Economics, graduated from the Faculty of Information Technologies and Communication Systems at the Nizhny Novgorod State University of Engineering and Economics; Master’s Degree Student of the Department of Infocommunication Technologies and Communication Systems at the Nizhny Novgorod State University of Engineering and Economics; an author of publications in the field of error-proof coding and information protection. [e-mail: shibaevamarya@yandex.ru]M. Shibaeva

Permutation Decoding in the System of Combinations Code Designs in the Evaluation of Biometric Data 56_10.pdf

State-of-the-art telecommunication systems and means of data protection against natural and anthropogenic interference in the form of redundant codes are increasingly used in various applications related to the processing of biometric data. A large volume of publications in this subject area is devoted to codes with a low density of parity checks, polar codes, turbocodes with iterative data transformations that implement the algorithm of "belief propagation". These code constructions provide the required probabilistic characteristics but the procedure of decoding such codes takes long time intervals, which is unacceptable in terms of the duration of the cycle of biometric data management in systems critical to time delays. The paper proposes to use the principle of permutation decoding (PD), which is applied to systematic block codes. This method allows to fully use the corrective capabilities of redundant codes but in the classical interpretation requires cumbersome matrix calculations, which does not allow to use the positive properties of the method for error correction. The complexity of the computational process is excessively high. Therefore, to reduce the negative effect in the PD system, it is proposed to use the cognitive principle of data processing at the channel level, which significantly reduces the complexity of the decoder implementation and ensures the use of PD in the control systems of biometric data of subjects, for example, in the automation of transport security processes. Special attention is paid to the combination of codes in the format of cascade coding. For the first time, a description of such a scheme is given for polar codes and nonbinary Reed-Solomon (RS) codes.

Soft symbol solution, permutation decoding, cognitive map decoder, concatenated code.

2019_ 2

Sections: Mathematical modeling

Subjects: Mathematical modeling, Artificial intelligence.



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