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Polar codes are the first error-correcting code proven to achieve channel capacity based on infinite code length. The Successive Cancellation List Flip (SCLF) decoding algorithm was proposed by flipping an erroneous bit during the next…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Fu-Siang Liang , Shan Lu , Yeong-Luh Ueng

Polar codes can be decoded with the low-complexity successive-cancellation flip (SCF) algorithm. To improve error-correction performance, the dynamic successive-cancellation flip (DSCF) variant was proposed, where the resulting…

Information Theory · Computer Science 2021-01-13 Ilshat Sagitov , Pascal Giard

Due to the sequential nature of the successive-cancellation (SC) algorithm, the decoding of polar codes suffers from significant decoding latencies. Fast SC decoding is able to speed up the SC decoding process, by implementing parallel…

Information Theory · Computer Science 2022-11-21 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

We show that successive cancellation list decoding can be formulated exclusively using log-likelihood ratios. In addition to numerical stability, the log-likelihood ratio based formulation has useful properties which simplify the sorting…

Information Theory · Computer Science 2016-02-15 Alexios Balatsoukas-Stimming , Mani Bastani Parizi , Andreas Burg

BMERA or convolutional polar codes are an extension of polar codes with a provably better error exponent than polar codes. A successive cancellation (SC) decoding algorithm for BMERA codes similar to SC polar decoders is introduced. A…

Information Theory · Computer Science 2018-07-11 Tobias Prinz , Peihong Yuan

The key to successive cancellation (SC) flip decoding of polar codes is to accurately identify the first error bit. The optimal flipping strategy is considered difficult due to lack of an analytical solution. Alternatively, we propose a…

Information Theory · Computer Science 2019-02-26 Xianbin Wang , Huazi Zhang , Rong Li , Lingchen Huang , Shengchen Dai , Yourui Huangfu , Jun Wang

In this letter, we propose an adaptive SC (Successive Cancellation)-List decoder for polar codes with CRC. This adaptive SC-List decoder iteratively increases the list size until the decoder outputs contain at least one survival path which…

Information Theory · Computer Science 2012-08-16 Bin Li , Hui Shen , David Tse

Polar codes are a class of error-correcting codes that provably achieve the capacity of practical channels. The successive-cancellation flip (SCF) decoder is a low-complexity decoder that was proposed to improve the performance of the…

Information Theory · Computer Science 2023-08-07 Ilshat Sagitov , Charles Pillet , Alexios Balatsoukas-Stimming , Pascal Giard

We introduce successive cancellation (SC) decoding of product codes (PCs) with single parity-check (SPC) component codes. Recursive formulas are derived, which resemble the SC decoding algorithm of polar codes. We analyze the error…

Information Theory · Computer Science 2017-06-19 Mustafa Cemil Coşkun , Gianluigi Liva , Alexandre Graell i Amat , Michael Lentmaier

This work presents a fast successive-cancellation list flip (Fast-SCLF) decoding algorithm for polar codes that addresses the high latency issue associated with the successive-cancellation list flip (SCLF) decoding algorithm. We first…

Information Theory · Computer Science 2022-01-25 Nghia Doan , Seyyed Ali Hashemi , Warren J. Gross

In the conventional successive cancellation (SC) decoder for polar codes, all the future bits to be estimated later are treated as random variables. However, polar codes inevitably involve frozen bits, and their concatenated coding schemes…

Information Theory · Computer Science 2023-09-19 Min Jang , Jong-Hwan Kim , Seho Myung , Kyeongcheol Yang

Polar codes is promising because they can provably achieve the channel capacity while having an explicit construction method. Lots of work have been done for the bit-based decoding algorithm for polar codes. In this paper, generalized…

Information Theory · Computer Science 2016-11-15 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Polar codes have gained significant amount of attention during the past few years and have been selected as a coding scheme for the next generation of mobile broadband standard. Among decoding schemes, successive-cancellation list (SCL)…

Information Theory · Computer Science 2017-08-31 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

Due to the low-latency and high-reliability requirements of 5G, low-complexity node-based successive cancellation list (SCL) decoding has received considerable attention for use in 5G communications systems. By identifying special…

Information Theory · Computer Science 2022-12-21 Yuqing Ren , Andreas Toftegaard Kristensen , Yifei Shen , Alexios Balatsoukas-Stimming , Chuan Zhang , Andreas Burg

The recently-discovered polar codes are seen as a major breakthrough in coding theory; they provably achieve the theoretical capacity of discrete memoryless channels using the low complexity successive cancellation (SC) decoding algorithm.…

Hardware Architecture · Computer Science 2015-03-19 Camille Leroux , Alexandre J. Raymond , Gabi Sarkis , Ido Tal , Alexander Vardy , Warren J. Gross

This work identifies information-theoretic quantities that are closely related to the required list size on average for successive cancellation list (SCL) decoding to implement maximum-likelihood decoding over general binary memoryless…

Information Theory · Computer Science 2022-04-04 Mustafa Cemil Coşkun , Henry D. Pfister

A deep-learning-aided successive-cancellation list (DL-SCL) decoding algorithm for polar codes is introduced with deep-learning-aided successive-cancellation (DL-SC) decoding being a specific case of it. The DL-SCL decoder works by allowing…

Information Theory · Computer Science 2019-12-04 Seyyed Ali Hashemi , Nghia Doan , Thibaud Tonnellier , Warren J. Gross

Dynamic successive cancellation flip (DSCF) decoding of polar codes is a powerful algorithm that can achieve the error correction performance of successive cancellation list (SCL) decoding, with a complexity that is close to that of…

Information Theory · Computer Science 2019-07-29 Nghia Doan , Seyyed Ali Hashemi , Furkan Ercan , Thibaud Tonnellier , Warren Gross

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

Successive cancellation list (SCL) decoding algorithm is a powerful method that can help polar codes achieve excellent error-correcting performance. However, the current SCL algorithm and decoders are based on likelihood or log-likelihood…

Information Theory · Computer Science 2014-12-16 Bo Yuan , Keshab K. Parhi