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Polar codes are capacity achieving error correcting codes that can be decoded through the successive-cancellation algorithm. To improve its error-correction performance, a list-based version called successive-cancellation list (SCL) has…

Information Theory · Computer Science 2017-01-30 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

Polar codes achieve outstanding error correction performance when using successive cancellation list (SCL) decoding with cyclic redundancy check. A larger list size brings better decoding performance and is essential for practical…

Signal Processing · Electrical Eng. & Systems 2019-05-03 ChenYang Xia , YouZhe Fan , Chi-Ying Tsui

This paper proposes a generalization of the recently introduced Successive Cancellation Flip (SCFlip) decoding of polar codes, characterized by a number of extra decoding attempts, where one or several positions are flipped from the…

Information Theory · Computer Science 2017-03-14 Ludovic Chandesris , Valentin Savin , David Declercq

Due to the ability to provide superior error-correction performance, the successive cancellation list (SCL) algorithm is widely regarded as one of the most promising decoding algorithms for polar codes with short-to-moderate code lengths.…

Information Theory · Computer Science 2023-11-15 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

In the Shannon lecture at the 2019 International Symposium on Information Theory (ISIT), Ar{\i}kan proposed to employ a one-to-one convolutional transform as a pre-coding step before the polar transform. The resulting codes of this…

Information Theory · Computer Science 2024-01-19 Mohammad Rowshan , Andreas Burg , Emanuele Viterbo

Successive-cancellation list (SCL) decoding of polar codes has been adopted for 5G. However, the performance is not very satisfactory with moderate code length. Heuristic or deep-learning-aided (DL-aided) flip algorithms have been developed…

Information Theory · Computer Science 2021-06-25 Yaoyu Tao , Zhengya Zhang

The polarization-adjusted convolutional (PAC) codes concatenate the polar transform and the convolutional transform to improve the decoding performance of the finite-length polar codes, where the rate-profile is used to construct the PAC…

Information Theory · Computer Science 2021-06-09 He Sun , Emanuele Viterbo , Rongke Liu

Polar codes are a class of channel capacity achieving codes that has been selected for the next generation of wireless communication standards. Successive-cancellation (SC) is the first proposed decoding algorithm, suffering from mediocre…

Information Theory · Computer Science 2018-10-09 Furkan Ercan , Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

Sorting operation is one of the main bottlenecks for the successive-cancellation list (SCL) decoding. This paper introduces an improvement to the SCL decoding for polar and pre-transformed polar codes that reduces the number of sorting…

Information Theory · Computer Science 2022-07-26 Mohsen Moradi , Amir Mozammel

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

Polar codes, as the first provable capacity-achieving error-correcting codes, have received much attention in recent years. However, the decoding performance of polar codes with traditional successive-cancellation (SC) algorithm cannot…

Information Theory · Computer Science 2014-09-23 Bo Yuan , Keshab K. Parhi

Successive-cancellation list (SCL) decoding is an algorithm that provides very good error-correction performance for polar codes. However, its hardware implementation requires a large amount of memory, mainly to store intermediate results.…

Hardware Architecture · Computer Science 2017-03-28 Seyyed Ali Hashemi , Alexios Balatsoukas-Stimming , Pascal Giard , Claude Thibeault , Warren J. Gross

Benefiting from performance advantages under short code lengths, polar codes are well-suited for certain scenarios, such as the future Internet of Things (IoT) applications that require high reliability and low power. Existing list flip…

Information Theory · Computer Science 2025-04-01 Yansong Lv , Jingxin Dai , Yuhuan Wang , Hang Yin , Zhanxin Yang

Polar codes have attracted a lot of attention during past few years and have been adopted as a coding scheme for 5G standard. Successive-cancellation list (SCL) decoder provides high level error-correction performance for polar codes, but…

Information Theory · Computer Science 2019-04-25 Liang Ma , Hang Li , Yuejun Wei

A heuristic construction of polar codes for successive cancellation list (SCL) decoding with a given list size is proposed to balance the trade-off between performance measured in frame error rate (FER) and decoding complexity. Furthermore,…

Information Theory · Computer Science 2018-08-03 Peihong Yuan , Tobias Prinz , Georg Böcherer , Onurcan İşcan , Ronald Böhnke , Wen Xu

This paper focuses on the recently introduced Successive Cancellation Flip (SCFlip) decoder of polar codes. Our contribution is twofold. First, we propose the use of an optimized metric to determine the flipping positions within the SCFlip…

Information Theory · Computer Science 2017-01-18 Ludovic Chandesris , Valentin Savin , David Declercq

Under successive cancellation (SC) decoding, polar codes are inferior to other codes of similar blocklength in terms of frame error rate. While more sophisticated decoding algorithms such as list- or stack-decoding partially mitigate this…

Information Theory · Computer Science 2014-12-18 Orion Afisiadis , Alexios Balatsoukas-Stimming , Andreas Burg

Polar codes are the first class of capacity-achieving forward error correction (FEC) codes. They have been selected as one of the coding schemes for the 5G communication systems due to their excellent error correction performance when…

Signal Processing · Electrical Eng. & Systems 2019-05-23 ChenYang Xia , YouZhe Fan , Chi-ying Tsui

Polar codes are the first codes with a proven capacity-achieving capability, but their decoding faces several challenges, especially under long code lengths. In this paper, we target algorithmic improvements and analyses to enable the…

Information Theory · Computer Science 2026-05-22 Jiajie Li , Sihui Shen , Warren J. Gross

Convolutional precoding in polarization-adjusted convolutional (PAC) codes is a recently introduced variant of polar codes. It has demonstrated an effective reduction in the number of minimum weight codewords (a.k.a error coefficient) of…

Information Theory · Computer Science 2024-06-05 Xinyi Gu , Mohammad Rowshan , Jinhong Yuan