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Channel polarization and Polar code are widely considered as major breakthroughs in coding theory because they have shown promising features for future wireless standards. The main drawbacks of Polar code are high-latency in decoding…

Signal Processing · Electrical Eng. & Systems 2019-05-14 Duc-Phuc Nguyen , Dinh-Dung Le , Thi-Hong Tran , Takashi Nakada , Yasuhiko Nakashima

Polar codes are the first provably capacity-achieving forward error correction codes. To improve decoder throughput, the symbol-decision SC algorithm makes hard-decision for multiple bits at a time. In this paper, we prove that for polar…

Information Theory · Computer Science 2015-01-09 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Polar codes have emerged as the most favorable channel codes for their unique capacity-achieving property. To date, numerous works have been reported for efficient design of polar codes decoder. However, these prior efforts focused on…

Information Theory · Computer Science 2015-01-15 Bo Yuan , Keshab K. Parhi

Polar codes are of great interests because they provably achieve the capacity of both discrete and continuous memoryless channels while having an explicit construction. Most existing decoding algorithms of polar codes are based on bit-wise…

Information Theory · Computer Science 2016-01-20 Chenrong Xiong , Jun Lin , Zhiyuan Yan

There have been significant advances in recent years in the development of forward error correction decoders that can decode codes of any structure, including practical realizations in synthesized circuits and taped out chips. While…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Jiewei Feng , Ken R. Duffy , Muriel Médard

This paper presents novel techniques for improving the error correction performance and reducing the complexity of coarsely quantized 5G-LDPC decoders. The proposed decoder design supports arbitrary message-passing schedules on a…

Information Theory · Computer Science 2025-08-19 Philipp Mohr , Gerhard Bauch

We introduce a novel approach to error correction decoding in the presence of additive alpha-stable noise, which serves as a model of interference-limited wireless systems. In the absence of modifications to decoding algorithms, treating…

Information Theory · Computer Science 2024-10-31 Charles Wiame , Ken R. Duffy , Muriel Médard

In this paper, we discuss pre-transformed RM-Polar codes and cyclic redundancy check (CRC) concatenated pre-transformed RM-Polar codes. The simulation results show that the pre-transformed RM-Polar (256, 128+9) code concatenated with 9-bit…

Information Theory · Computer Science 2021-04-16 Bin Li , Jiaqi Gu , Huazi Zhang

In this work, we investigate the problem of neural-based error correction decoding, and more specifically, the new so-called syndrome-based decoding technique introduced to tackle scalability in the training phase for larger code sizes. We…

Information Theory · Computer Science 2024-03-06 Gastón De Boni Rovella , Meryem Benammar

In this paper, we investigate a coupled polar code architecture that supports both local and global decoding. This local-global construction is motivated by practical applications in data storage and transmission where reduced-latency…

Information Theory · Computer Science 2023-01-09 Ziyuan Zhu , Wei Wu , Paul H. Siegel

SC-Flip (SCF) decoding algorithm shares the attention with the common polar code decoding approaches due to its low-complexity and improved error-correction performance. However, the inefficient criterion for locating the correct…

Hardware Architecture · Computer Science 2020-07-31 Furkan Ercan , Warren J. Gross

In this paper, we analyze the delay probability of the first error position in perturbation-enhanced Successive cancellation (SC) decoding for polar codes. Our findings reveal that, asymptotically, an SC decoder's performance does not…

Information Theory · Computer Science 2025-01-13 Zhicheng Liu , Liuquan Yao , Shuai Yuan , Guiying Yan , Zhiming Ma , Yuting Liu

We propose a novel soft-aided low-complexity decoder for product codes based on dynamic reliability scores and error-and-erasure decoding. We observe coding gains of up to 1.2 dB compared to conventional hard-decision decoders.

Information Theory · Computer Science 2022-05-18 Sisi Miao , Lukas Rapp , Laurent Schmalen

Error correction codes are a crucial part of the physical communication layer, ensuring the reliable transfer of data over noisy channels. The design of optimal linear block codes capable of being efficiently decoded is of major concern,…

Information Theory · Computer Science 2024-05-08 Yoni Choukroun , Lior Wolf

Previous work showed that polar codes can be decoded using off-the-shelf LDPC decoders by imposing special constraints on the LDPC code structure, which, however, resulted in some performance degradation. In this paper we show that this…

Information Theory · Computer Science 2019-09-27 Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

Quantum error correction requires decoders that are both accurate and efficient. To this end, union-find decoding has emerged as a promising candidate for error correction on the surface code. In this work, we benchmark a weighted variant…

Quantum Physics · Physics 2020-07-22 Shilin Huang , Michael Newman , Kenneth R. Brown

In this work, we present a family of architectures for polar decoders using a reduced-complexity successive-cancellation decoding algorithm that employs unrolling to achieve extremely high throughput values while retaining moderate…

Hardware Architecture · Computer Science 2016-07-12 Pascal Giard , Gabi Sarkis , Claude Thibeault , Warren J. Gross

Modern applications are driving demand for ultra-reliable low-latency communications, rekindling interest in the performance of short, high-rate error correcting codes. To that end, here we introduce a soft-detection variant of Guessing…

Information Theory · Computer Science 2021-06-16 Ken R. Duffy

Polar codes under cyclic redundancy check aided successive cancellation list (CA-SCL) decoding can outperform the turbo codes and the LDPC codes when code lengths are configured to be several kilobits. In order to reduce the decoding…

Information Theory · Computer Science 2015-08-11 Kai Chen , Bin Li , Hui Shen , Jie Jin , David Tse

The URLLC scenario in the upcoming 6G standard requires low latency and ultra reliable transmission, i.e., error correction towards ML performance. Achieving near-ML performance is very challenging especially for short block lengths. Polar…

Information Theory · Computer Science 2023-03-03 Claus Kestel , Marvin Geiselhart , Lucas Johannsen , Stephan ten Brink , Norbert Wehn