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About Some Irregular Degree Distributions of LDPC Codes in Two-State Channels
P. 1–4.
Ovchinnikov A., Fominykh A. A.
Veresova A., Ovchinnikov A., , in: 2024 IEEE International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON).: Novosibirsk: IEEE, 2024. P. 47–51.
Added: November 27, 2024
Ovchinnikov A., Fominykh A. A., , in: 2023 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF).: IEEE, 2023. P. 1–4.
Satellite and space communication systems have received a lot of attention as crucial transmission frameworks in recent years. In these systems, the signal is mostly degraded by fast amplitude and phase changes (fading), which cause error bursts. Hence, robust error-correcting codes that can handle error bursts are necessary for space and satellite transmissions of good ...
Added: July 18, 2023
А. А. Ovchinnikov, А. М. Veresova, Fominykh A. A., Информационно-управляющие системы 2022 No. 6 P. 41–52
In modern systems for communication, data storage and processing the error-correction capability of codes are estimated for memoryless channels. In real channels the noise is correlated, which leads to grouping error in bursts. A traditional method to fight this phenomenon is channel decorrelation, which does not allow developing of coding schemes, mostly utilizing the channel ...
Added: June 22, 2023
Ovchinnikov A., A. Veresova, Fominykh A. A., Proceedings of Telecommunication Universities 2022 Vol. 8 No. 4 P. 55–63
Although low-density parity-check (LDPC) codes in modern communication standards have been extensively studied over a memoryless channel, their burst error correction capacity in channels with memory has yet to be
thoroughly analyzed. The conventional approach to transmission in channels with memory uses interleaving within
a buffer of several codewords. However, such an approach reduces the efficiency of ...
Added: June 22, 2023
A. A. Ovchinnikov, Fominykh A. A., , in: 2020 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF).: IEEE, 2020. P. 1–5.
The paper examines the decoding of low-density parity-check codes taking into account the source distribution.
More specifically, we consider the alteration of LLR calculation on the input of belief propagation decoder. The experimental results for binary input additive white Gaussian noise channel are presented using various source distributions. ...
Added: October 30, 2022
Fominykh A. A., Ovchinnikov A. A., Isaeva M. N., , in: WAVE ELECTRONICS AND ITS APPLICATION IN INFORMATION AND TELECOMMUNICATION SYSTEMS. 2021. (WECONF 2021) St. Petersburg, Russia, 31 May - 4 June 2021.: IEEE, 2021. P. 1–4.
This article examines constructing block-permutation low-density parity-check codes for error burst correction. Block-permutation constructions with superimposed zero masks are considered. We have analyzed the approach of
construction such matrices consisting of two stages: finding the location of zero blocks and finding the base matrix. Experimental results containing analysis of correction capability of considered codes over the channel with memory are presented. ...
Added: October 27, 2022
Alina M. Veresova, Fominykh A. A., Andrei A. Ovchinnikov, , in: 2021 XVII International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY).: IEEE, 2021. P. 143–148.
The applying of low-density parity-check codes is
considered over two-state channels with memory described by
Markov and Gilbert models. The error probability using different
strategies of syndrome decoding is estimated. The method of
choosing the coset leaders is proposed which provides the
error probability close to maximum-likelihood decoding for the
considered codes. ...
Added: October 27, 2022
A. M. Veresova, A. A. Ovchinnikov, , in: 2022 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF) 30 May - 3 June 2022, St. Petersburg, Russia.: IEEE, 2022. P. 1–4.
Channels with memory can be described using the Gilbert–Elliott model. To correct errors in such channels, non–
binary Reed-Solomon codes are used, as well as low-density parity-check codes together with interleaving procedure or modifications of classical decoding algorithms. The purpose of this study is to compare the effectiveness of these codes when using different decoding algorithms in channels with memory. The probability ...
Added: October 27, 2022
Ovchinnikov A. А., Информационно-управляющие системы 2022 No. 3 P. 45–54
Introduction: Today the investigations of post-quantum cryptosystems secure against quantum computations is the area of great interest. An important direction here is code-based cryptography utilizing the mathematical problems from error-correcting coding theory. The improvement of existing code-based systems may be achieved both in practical part (reducing the key sizes) and theoretically by using more complicated ...
Added: September 26, 2022
van der Hoorn P., Ostroumova Prokhorenkova Liudmila, Samosvat E., Stochastic Systems 2018 Vol. 8 No. 1 P. 1–28
We present an algorithm that solves the problem of generating graphs, with a given degree distribution, that are maximally disassortative (with respect to Spearman’s rank correlation). As a result, we obtain a general lower bound for Spearman’s rho on graphs, which depends on the distribution of the probability mass between the head and tail of ...
Added: May 3, 2020