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Polar codes are capacity-achieving error-correcting codes with an explicit construction that can be decoded with low-complexity algorithms. In this work, we show how the state-of-the-art low-complexity decoding algorithm can be improved to…

Information Theory · Computer Science 2016-08-29 Pascal Giard , Alexios Balatsoukas-Stimming , Gabi Sarkis , Claude Thibeault , Warren J. Gross

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

Monotone chain polar codes generalize classical polar codes to multivariate settings, offering a flexible approach for achieving the entire admissible rate region in the distributed lossless coding problem. However, this flexibility also…

Information Theory · Computer Science 2025-09-04 Zichang Ren , Chunhang Zheng , Dou Li , Yuping Zhao

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

This paper focuses on low complexity successive cancellation list (SCL) decoding of polar codes. In particular, using the fact that splitting may be unnecessary when the reliability of decoding the unfrozen bit is sufficiently high, a novel…

Information Theory · Computer Science 2016-11-17 Zhaoyang Zhang , Liang Zhang , Xianbin Wang , Caijun Zhong , H. Vincent Poor

Multi-kernel polar codes have recently been proposed to construct polar codes of lengths different from powers of two. Decoder implementations for multi-kernel polar codes need to account for this feature, that becomes critical in memory…

Information Theory · Computer Science 2018-09-26 Valerio Bioglio , Carlo Condo , Ingmar Land

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

In this paper, we introduce a novel class of pre-transformed polar codes, termed as deep polar codes. We first present a deep polar encoder that harnesses a series of multi-layered polar transformations with varying sizes. Our approach to…

Information Theory · Computer Science 2023-08-08 Geon Choi , Namyoon Lee

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

Information Theory · Computer Science 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

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

Polar codes are a recently proposed class of block codes that provably achieve the capacity of various communication channels. They received a lot of attention as they can do so with low-complexity encoding and decoding algorithms, and they…

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 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

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

This paper proposes an enhanced list-aided successive cancellation stack (ELSCS) decoding algorithm with adjustable decoding complexity. In addition, a logarithmic likelihood ratio (LLR)-threshold based path extension scheme is designed to…

Information Theory · Computer Science 2019-12-18 Haotian Zheng , Bin Chen , Luis F. Abanto-Leon , Zizheng Cao , Ton Koonen

Polar codes represent one of the major recent breakthroughs in coding theory and, because of their attractive features, they have been selected for the incoming 5G standard. As such, a lot of attention has been devoted to the development of…

Information Theory · Computer Science 2017-08-31 Seyyed Ali Hashemi , Marco Mondelli , S. Hamed Hassani , Rudiger Urbanke , Warren J. Gross

The performance of short polar codes under successive cancellation (SC) and SC list (SCL) decoding is analyzed for the case where the decoder messages are coarsely quantized. This setting is of particular interest for applications requiring…

Information Theory · Computer Science 2020-09-14 Joachim Neu , Mustafa Cemil Coşkun , Gianluigi Liva

The recently proposed SCLF decoding algorithm for polar codes improves the error-correcting performance of state-of-the-art SCL decoding. However, it comes at the cost of a higher complexity. In this paper, partitioned polar codes tailored…

Information Theory · Computer Science 2026-05-12 Charles Pillet , Ilshat Sagitov , Pascal Giard

Cyclic redundancy check (CRC) aided polar codes are capable of achieving better performance than low-density parity-check (LDPC) codes under the successive cancelation list (SCL) decoding scheme. However, the SCL decoding scheme suffers…

Information Theory · Computer Science 2016-09-29 Mao-Ching Chiu , Wei-De Wu

The paper investigates the emerging field of low-complexity non-binary polar code (NB-PC) decoders. It shows that customizing each kernel of an NB-PC decoder through offline analysis can significantly reduce the overall decoding complexity.…

Information Theory · Computer Science 2025-09-12 Joseph Jabbour , Ali Chamas Al-Ghouwayel , Emmanuel Boutillon