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Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance and low-complexity decoding algorithms. Recently, they have…

Information Theory · Computer Science 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

There is an advantage in simultaneously transmitting both classical and quantum information over a quantum channel compared to sending independent transmissions. The successful implementation of simultaneous transmissions of quantum and…

Quantum Physics · Physics 2023-08-09 Shayan Majidy

Long polar codes can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. However, for polar codes with short and moderate code length,…

Hardware Architecture · Computer Science 2014-11-18 Jun Lin , Zhiyuan Yan

We present two new algorithms for the reconstruction of turbo codes from a noisy intercepted bitstream. With these algorithms, we were able to reconstruct various turbo codes with realistic parameter sizes. To the best of our knowledge,…

Information Theory · Computer Science 2015-03-17 Mathieu Cluzeau , Matthieu Finiasz , Jean-Pierre Tillich

We propose a modified iterative bounded distance decoding of product codes. The proposed algorithm is based on exchanging hard messages iteratively and exploiting channel reliabilities to make hard decisions at each iteration. Performance…

Information Theory · Computer Science 2018-05-15 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

Undetected errors are important for linear codes, which are the only type of errors after hard decision and automatic-repeat-request (ARQ), but do not receive much attention on their correction. In concatenated channel coding, suboptimal…

Information Theory · Computer Science 2019-01-09 Jingzhao Wang , Yuan Luo

We consider recursive decoding for Reed-Muller (RM) codes and their subcodes. Two new recursive techniques are described. We analyze asymptotic properties of these algorithms and show that they substantially outperform other decoding…

Information Theory · Computer Science 2017-03-17 Ilya Dumer , Kirill Shabunov

While long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels when decoded by a low complexity successive cancelation (SC) algorithm, the error performance of the SC algorithm is inferior for polar…

Hardware Architecture · Computer Science 2016-11-17 Jun Lin , Chenrong Xiong , Zhiyuan Yan

We present the first known efficient decoding algorithm for correcting multiple insertion-deletion errors in Helberg codes and their non-binary generalizations, extending a known algorithm for correcting multiple deletion errors.

Information Theory · Computer Science 2025-08-27 Anthony Segrest , Hieu D. Nguyen

The receiver design for multi-input multi-output (MIMO) ultra-reliable and low-latency communication (URLLC) systems can be a tough task due to the use of short channel codes and few pilot symbols. Consequently, error propagation can occur…

Signal Processing · Electrical Eng. & Systems 2024-04-12 Yi Sun , Hong Shen , Bingqing Li , Wei Xu , Pengcheng Zhu , Nan Hu , Chunming Zhao

In this paper, we investigate the performance of a class of spatially coupled codes, namely partially information coupled turbo codes (PIC-TCs) over the binary erasure channel (BEC). This class of codes enjoy flexible code rate adjustment…

Information Theory · Computer Science 2019-06-18 Min Qiu , Xiaowei Wu , Yixuan Xie , Jinhong Yuan

Error-Correcting Output Codes (ECOCs) offer a principled approach for combining simple binary classifiers into multiclass classifiers. In this paper, we investigate the problem of designing optimal ECOCs to achieve both nominal and…

Machine Learning · Computer Science 2020-11-03 Samarth Gupta , Saurabh Amin

Typical random codes (TRC) in a communication scenario of source coding with side information at the decoder is the main subject of this work. We study the semi-deterministic code ensemble, which is a certain variant of the ordinary random…

Information Theory · Computer Science 2021-01-29 Ran Tamir , Neri Merhav

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Information Theory · Computer Science 2022-09-13 Issam Maarouf , Andreas Lenz , Lorenz Welter , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

In this paper, we present a simple technique to approximate the performance union bound of a punctured turbo code. The bound approximation exploits only those terms of the transfer function that have a major impact on the overall…

Information Theory · Computer Science 2022-03-08 Ioannis Chatzigeorgiou , Miguel R. D. Rodrigues , Ian J. Wassell , Rolando Carrasco

Quantum stabilizer codes (QSCs) suffer from a low quantum coding rate, since they have to recover the quantum bits (qubits) in the face of both bit-flip and phase-flip errors. In this treatise, we conceive a low-complexity concatenated…

Quantum Physics · Physics 2020-10-20 Daryus Chandra , Zunaira Babar , Soon Xin Ng , Lajos Hanzo

Large-scale, fault-tolerant quantum computations will be enabled by quantum error-correcting codes (QECC). This work presents the first systematic technique to test the accuracy and effectiveness of different QECC decoding schemes by…

Quantum Physics · Physics 2023-11-22 Arshpreet Singh Maan , Alexandru Paler

An unconventional encoding scheme called concurrent coding, has recently been demonstrated and shown to offer interesting features and benefits in comparison to conventional techniques, e.g. robustness against burst errors and improved…

Information Theory · Computer Science 2020-06-29 David M Benton

The discovery of new quantum error-correcting codes that encode several logical qubits into relatively few physical qubits motivates the development of efficient and accurate methods of decoding these systems. Here, we adopt the…

Quantum Physics · Physics 2026-02-27 Kaavya Sahay , Dominic J. Williamson , Benjamin J. Brown

As the first error correction codes provably achieving the symmetric capacity of binary-input discrete memory-less channels (B-DMCs), polar codes have been recently chosen by 3GPP for eMBB control channel. Among existing algorithms,…

Signal Processing · Electrical Eng. & Systems 2018-03-19 Huayi Zhou , Xiao Liang , Liping Li , Zaichen Zhang , Xiaohu You , Chuan Zhang
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