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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

This paper characterizes the latency of the simplified successive-cancellation (SSC) decoding scheme for polar codes under hardware resource constraints. In particular, when the number of processing elements $P$ that can perform SSC…

Information Theory · Computer Science 2020-12-25 Seyyed Ali Hashemi , Marco Mondelli , Arman Fazeli , Alexander Vardy , John Cioffi , Andrea Goldsmith

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

We propose a new framework for constructing polar codes (i.e., selecting the frozen bit positions) for arbitrary channels, and tailored to a given decoding algorithm, rather than based on the (not necessarily optimal) assumption of…

Information Theory · Computer Science 2019-01-31 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

The successive cancellation list decoding algorithm for polar codes yields near-optimal decoding performance at the cost of high implementation complexity. The successive cancellation stack algorithm has been shown to provide similar…

Information Theory · Computer Science 2018-09-12 Harsh Aurora , Warren J. Gross

Nowadays polar codes are becoming one of the most favorable capacity achieving error correction codes for their low encoding and decoding complexity. However, due to the large code length required by practical applications, the few existing…

Hardware Architecture · Computer Science 2011-11-04 Chuan Zhang , Bo Yuan , Keshab K. Parhi

SC-Flip (SCF) is a low-complexity polar code decoding algorithm with improved performance, and is an alternative to high-complexity (CRC)-aided SC-List (CA-SCL) decoding. However, the performance improvement of SCF is limited since it can…

Information Theory · Computer Science 2020-09-22 Furkan Ercan , Thibaud Tonnellier , Nghia Doan , Warren J. Gross

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

Successive cancellation list (SCL) decoding has been widely adopted for polar codes, which allows near maximum likelihood performance with sufficiently large list size. In this work, we show that, if the list size is $2^\gamma$, where…

Information Theory · Computer Science 2025-07-23 Alexander Sauter , Mustafa Cemil Coşkun , Gianluigi Liva

In this work, we present a simplified successive cancellation list decoder that uses a Chase-like decoding process to achieve a six time improvement in speed compared to successive cancellation list decoding while maintaining the same…

Information Theory · Computer Science 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

The successive cancellation list decoder (SCL) is an efficient decoder for classical polar codes with low decoding error, approximating the maximum likelihood decoder (MLD) for small list sizes. Here we adapt the SCL to the task of decoding…

Quantum Physics · Physics 2026-05-14 Anqi Gong , Joseph M. Renes

We propose a belief propagation list (BPL) decoder with comparable performance to the successive cancellation list (SCL) decoder of polar codes, which already achieves the maximum likelihood (ML) bound of polar codes for sufficiently large…

Information Theory · Computer Science 2018-08-24 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

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 letter proposes successive cancellation list (SCL) decoding of product codes with Reed--Muller (RM) component codes. SCL decoding relies on a product code description based on the $2\times 2$ Hadamard kernel, which enables interpreting…

Information Theory · Computer Science 2019-08-29 Mustafa Cemil Coşkun , Thomas Jerkovits , Gianluigi Liva

This paper presents our low-latency Polar code encoders and decoders developed for the 2025 International Symposium on Topics in Coding (ISTC 2025) contest, which challenges participants to implement the fastest possible channel code…

Networking and Internet Architecture · Computer Science 2025-07-08 Mathieu Leonardon , Mohammed El Houcine Ayoubi , Adrien Cassagne , Romain Tajan , Camille Leroux

The joint transmission scheme of polar codes and sparse code multiple access (SCMA) has been regarded as a promising technology for future wireless communication systems. However, most of the existing polar-coded SCMA (PC-SCMA) systems…

Information Theory · Computer Science 2022-04-01 Shufeng Li , Mingyu Cai , Libiao Jin , Yao Sun , Hongda Wu , Ping Wang

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 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

While constructing polar codes for successive-cancellation decoding can be implemented efficiently by sorting the bit-channels, finding optimal polar codes for cyclic-redundancy-check-aided successive-cancellation list (CA-SCL) decoding in…

Information Theory · Computer Science 2023-05-16 Yun Liao , Seyyed Ali Hashemi , Hengjie Yang , John M. Cioffi

Targeting high-throughput and low-power communications, we implement two successive cancellation (SC) decoders for polar codes. With $16nm$ ASIC technology, the area efficiency and energy efficiency are $4Tbps/mm^2$ and $0.63pJ/bit$,…

Information Theory · Computer Science 2021-07-20 Jiajie Tong , Xianbin Wang , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong
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