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About Constructing Block Permutation LDPC Codes for Channels with Memory

P. 1–4.
Fominykh A. A., Ovchinnikov A. A., Isaeva M. N.

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.

Language: English
DOI
Keywords: low-density parity-check codesburst error correctionblock-permutation construction

In book

WAVE ELECTRONICS AND ITS APPLICATION IN INFORMATION AND TELECOMMUNICATION SYSTEMS. 2021. (WECONF 2021) St. Petersburg, Russia, 31 May - 4 June 2021
IEEE, 2021.
Similar publications
Burst Detection and Correction for Gilbert Codes and its QC-LDPC Extensions
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
Decoding of linear codes for single error bursts correction based on the determination of certain events
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
Usage of LDPC codes in a Gilbert channel
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
Decoding of LDPC Codes for 5G Standard Using Source Distribution
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
About Some Irregular Degree Distributions of LDPC Codes in Two-State Channels
Ovchinnikov A., Fominykh A. A., , 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.
Added: October 27, 2022
About Usage of Metrics in Decoding of LDPC Codes in Two-State Channels with Memory
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
The variant of post-quantum cryptosystem based on burst-correcting codes and on the complete decoding problem
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
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