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Block-permutation LDPC codes for distributed storage systems
P. 227–238.
Krouk E., Ovchinnikov A.
In the paper the usage of low-density parity-check (LDPC) codes to protect storage systems from failures is considered. These codes are the instance of locally recoverable (LRC) codes which obtain much attention during last years regarding storage systems. The system model of distributed storage system is described, with specific types of failures. The coding schemes based on Reed- Solomon (RS) and LDPC codes are formulated for this model taking into account the specific failures types. These coding schemes are compared using several examples of model parameters. The redundancy and locality provided by different coding schemes are estimated. © Springer International Publishing Switzerland 2015.
Language:
English
Morozov V., Oleg Evsutin, Nikita Yarygin, , in: 2025 XIХ International Symposium on Problems of Redundancy in Information and Control Systems (Redundancy), 5-7 Nov. 2025.: IEEE, 2025. P. 1–7.
Quantum Key Distribution (QKD) is a promising field in modern cryptography where the security of key information is guaranteed by the laws of quantum mechanics. One of the key stages in QKD protocols is error estimation and reconciliation in the secret key. This procedure requires the transmission of a certain number of secret key bits ...
Added: December 30, 2025
Veresova A., Ovchinnikov A., , in: 2025 XIХ International Symposium on Problems of Redundancy in Information and Control Systems (Redundancy), 5-7 Nov. 2025.: IEEE, 2025. P. 1–5.
This paper addresses the problem of constructing
codes for correcting single error bursts. The construction is
based on a block-circulant design of low-density parity-check
codes. For such a design, the maximal correctable burst length
is limited by the block size, which forces consideration of codes
whose parity-check matrix contains only a small number of large
blocks. However, this significantly restricts the ...
Added: November 24, 2025
Morozov V., Башара В. О., Емельяненко М. В., В кн.: Параллельные вычислительные технологии – XIX всероссийская научная конференция с международным участием, ПаВТ’2025, г. Москва, 8–10 апреля 2025 г. Короткие статьи и описания плакатов.: Челябинск: Издательский центр ЮУрГУ, 2025. С. 193–210.
Error correction in the secret key is a mandatory step in quantum key distribution (QKD) protocols. Usually, modern error-correcting codes are used for its implementation. Imperfections of the hardware used in QKD systems lead to bit flipping errors in the channel. Moreover, such systems are characterized by an asymmetric distribution of such errors. Taking into ...
Added: June 3, 2025
Ivanov F., Kuvshinov A., Facta Universitatis. Series Electronics and Energetics 2024 Vol. 37 No. 3 P. 483–496
Nowadays concatenated codes are actively developed for different applications of error-correcting theory. In this paper we propose a new method for constructing concatenated codes consisting of some outer error-correcting code and a particular designed inner low-density parity-check (LDPC) code. We consider polarization-adjusted convolutional (PAC) code and LDPC code as outer code of suggested construction. Special ...
Added: November 16, 2024
Nefedov S., Ozhegov R., Evsyutin O. et al., Наноиндустрия 2024 Т. 17 № S10-2 (128) С. 553–558
The paper considers challenges of creating a quantum key distribution system for long-distance trunk line. Besides, it presents the results of design, prototyping and examination of equipment implementing the quantum key distribution protocol with phase-time coding. ...
Added: August 2, 2024
Ivanov F., Kuvshinov A., , in: 2023 16th International Conference on Advanced Technologies, Systems and Services in Telecommunications (TELSIKS).: Niš: IEEE, 2023. P. 228–231.
Concatenated codes are effectively used in different approaches of error-correcting theory. We suggest new concatenated code construction that is composed of outer LDPC code and a particular designed inner LDPC code. Special optimization procedure was developed to obtain inner code with specific error-correcting characteristics. We apply the decoder of woven codes to this construction, while ...
Added: June 21, 2024
Ivanov F., Kuvshinov A., , in: 2022 IEEE International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON).: Ekaterinburg: IEEE, 2022. P. 190–194.
In this paper we consider the special construction of concatenated codes. Our scheme consists of outer LDPC code and a specially designed class of inner LDPC code with interleaver between inner and outer codes. An inner code in the proposed construction is obtained using a specific optimization algorithm that allows to minimize SNR for a ...
Added: June 21, 2024
Veresova A., Ovchinnikov A., , in: 2023 XVIII International Symposium Problems of Redundancy in Information and Control Systems (REDUNDANCY).: IEEE, 2023. P. 122–126.
This article discusses the application of low-density parity-check (LDPC) codes for error correction, with a focus on the joint correction of both grouped and independent errors in communication and data storage systems.
The error correction capabilities of LDPC codes with different constructions were estimated when correcting single error bursts and independent errors.
Experiments showed that correcting even ...
Added: October 30, 2023
Ovchinnikov A., Fominykh A. A., , in: 2023 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF).: IEEE, 2023. P. 1–5.
The common technique to perform decoding in channels with memory is to use interleaving, which increases both complexity and delay at the receiver. To overcome these limitations, coding scheme adaptation approaches might be used. One of the approaches is the optimization of long error-correcting codes and the modification of the decoder, taking into account the ...
Added: July 18, 2023
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
Andrei Ovchinnikov, Fominykh A., , in: Internet of Things, Smart Spaces, and Next Generation Networks and Systems. 20th International Conference, NEW2AN 2020, and 13th Conference, ruSMART 2020, St. Petersburg, Russia, August 26–28, 2020, Proceedings, Part IIssue 12525.: Springer, 2020. P. 393–401.
Hard-decision decoders are considered for burst error correction for low-density parity-check codes. The decoder for block-permutation construction of low-density parity-check proposed. Experiments on complexity and error probability are conducted with burst lengths both within and beyond the burst error correction capability. Also simulation results for Gilbert model are presented. ...
Added: October 27, 2022
Ivanov F., Alexey Kreschuk, Krouk E., , in: 21th IFAC World CongressVol. 53. Issue 2.: Elsevier, 2020. P. 11108–11113.
Secret sharing schemes have been studied intensively for the last 20 years, and these schemes have a number of real-world applications. There are a number of approaches to the construction of secret sharing schemes. One of them is based on codes of forward error correction (FEC). In fact, every linear code can be used to ...
Added: October 20, 2021
Rybin P., Ivanov F., Journal of Communications Technology and Electronics 2018 Vol. 63 No. 12 P. 1518–1523
The error exponent of the regular graph-based binary low-density parity-check (LDPC) codes under the maximum likelihood (ML) decoding algorithm in the binary symmetric channel (BSC) is analyzed. Unlike most other papers where error exponents are considered for the case when the length of LDPC codes tends to infinity (asymptotic analysis), the finite length case (finite ...
Added: March 1, 2019