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On the Serial Concatenation of LDPC Codes
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 reducing the complexity of decoding procedure compared to a classic decoder of LDPC code. Furthermore, we improve the performance of our scheme with puncturing the code symbols. The resulting concatenated construction outperforms low-rate LDPC from the 5G standard. Besides this, we demonstrate the performance of code with a special parity-check matrix consisting of parity-check matrices of inner and outer codes from our suggested construction.
Kuvshinov A., Fominykh A., Ivanov F., IEEE Access 2026 Vol. 14 P. 50549–50557
The recursive (U|U+V) construction, a generalization of which includes polar codes, provides a powerful framework for building complex codes from simpler components. However, existing approaches predominantly rely on fixed or symmetric tree architectures, overlooking the critical impact of decomposition choice on code performance. This paper addresses the challenge of optimal tree decomposition selection by presenting a framework ...
Added: April 7, 2026
Vladimir I. Morozov, Mikhail S. Elezov, Oleg O. Evsutin et al., IEEE Access 2026 Vol. 14 P. 343–354
Error correction is a crucial stage in quantum key distribution (QKD) protocols — a promising field of modern cryptography where the secrecy of the shared key information is guaranteed by the laws of quantum mechanics. Currently, there are many effective approaches to error correction in QKD. However, most of them, due to their generic nature, ...
Added: January 6, 2026
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
Kuvshinov A., Timokhin I., Ivanov F., , in: 2024 IEEE International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON).: Novosibirsk: IEEE, 2024. P. 52–57.
Concatenated codes are currently being actively investigated for the next-generation wireless communication sys tems due to their flexibility and ability to be used in various scenarios. The serial type of concatenation provides good error correcting properties with a potential reduction in complexity when an iterative concatenated decoder is used at the receiver side. One of ...
Added: November 16, 2024
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: 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
Switzerland: Springer, 2023.
This volume contains a collection of revised selected full-text papers presented at the
26th International Conference on Distributed Computer and Communication Networks
(DCCN 2023), held in Moscow, Russia, during September 25–29, 2023. DCCN 2023
was jointly organized by the Russian Academy of Sciences (RAS), the V.A. Trapeznikov
Institute of Control Sciences of RAS (ICS RAS), the Peoples’ Friendship University
of ...
Added: March 27, 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
Kowshik S., Kirill Andreev, Frolov A. et al., IEEE Transactions on Communications 2020 Vol. 68 No. 8 P. 4694–4708
We discuss the problem of designing channel access architectures for enabling fast, low-latency, grant-free, and uncoordinated uplink for densely packed wireless nodes. Specifically, we study random-access codes, previously introduced for the AWGN MAC, in the practically more relevant case of Rayleigh fading, when channel gains are unknown to the decoder. We propose a random coding ...
Added: September 9, 2023
Kirill Andreev, Rybin P., Alexey Frolov, IEEE Transactions on Communications 2022 Vol. 70 No. 12 P. 7886–7898
We consider a coded compressed sensing approach for the unsourced random access and replace the outer tree code proposed by Amalladinne et al. (2020) with the list recoverable code capable of correcting t errors. A finite-length random coding bound for such codes is derived. The numerical experiments in the single-antenna quasi-static Rayleigh fading channel show that transition ...
Added: September 9, 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