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This paper proposes a polar code construction scheme that reduces constituent-code supplemented decoding latency. Constituent codes are the sub-codewords with specific patterns. They are used to accelerate the successive cancellation…

Information Theory · Computer Science 2017-09-22 Tiben Che , Gwan Choi

Arikan's recursive code construction is designed to polarize a collection of memoryless channels into a set of good and a set of bad channels, and it can be efficiently decoded using successive cancellation. It was recently shown that the…

Information Theory · Computer Science 2019-01-16 Benjamin Bourassa , Maxime Tremblay , David Poulin

Polar codes are a channel coding scheme for the next generation of wireless communications standard (5G). The belief propagation (BP) decoder allows for parallel decoding of polar codes, making it suitable for high throughput applications.…

Information Theory · Computer Science 2018-07-02 Nghia Doan , Seyyed Ali Hashemi , Marco Mondelli , Warren J. Gross

An ultra-high throughput low-density parity check (LDPC) decoder with an unrolled full-parallel architecture is proposed, which achieves the highest decoding throughput compared to previously reported LDPC decoders in the literature. The…

To extend the applications of polar codes within next-generation wireless communication systems, it is essential to incorporate support for Incremental Redundancy (IR) Hybrid Automatic Repeat Request (HARQ) schemes. For very high-throughput…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Marwan Jalaleddine , Mohamad Ali Jarkas , Jiajie Li , Warren J. Gross

In this paper we show a polar coding scheme for the deletion channel with a probability of error that decays roughly like $2^{-\sqrt{\Lambda}}$, where $\Lambda$ is the length of the codeword. That is, the same decay rate as that of seminal…

Information Theory · Computer Science 2024-10-24 Dar Arava , Ido Tal

Tailoring polar code construction for decoding algorithms beyond successive cancellation has remained a topic of significant interest in the field. However, despite the inherent nested structure of polar codes, the use of sequence models in…

Information Theory · Computer Science 2024-01-31 Sravan Kumar Ankireddy , S Ashwin Hebbar , Heping Wan , Joonyoung Cho , Charlie Zhang

Physical unclonable functions (PUFs) involve challenging practical applications of error-correcting codes (ECCs), requiring extremely low failure rates on the order of $10^{-6}$ and below despite raw input bit error rates as high as 22%.…

Information Theory · Computer Science 2025-10-13 Marvin Rübenacke , Sebastian Cammerer , Michael Sullivan , Alexander Keller

Owing to their capacity-achieving performance and low encoding and decoding complexity, polar codes have drawn much research interests recently. Successive cancellation decoding (SCD) and belief propagation decoding (BPD) are two common…

Information Theory · Computer Science 2017-03-17 Syed Mohsin Abbas , YouZhe Fan , Ji Chen , Chi-Ying Tsui

We propose a novel coupling technique for the design of polar codes of length N, making them decodable through a sliding window of size M < N. This feature allows to reduce the computational complexity of the decoder, an important…

Information Theory · Computer Science 2021-05-06 Valerio Bioglio , Carlo Condo , Ingmar Land

Polar code visibly approaches channel capacity in practice and is thereby a constituent code of the 5G standard. Compared to low-density parity-check code, however, the performance of short-length polar code has rooms for improvement that…

Information Theory · Computer Science 2022-04-26 Hsin-Po Wang , Ting-Chun Lin , Alexander Vardy , Ryan Gabrys

Polar codes have gained significant attention in channel coding for their ability to approach the capacity of binary input discrete memoryless channels (B-DMCs), thanks to their reliability and efficiency in transmission. However, existing…

Information Theory · Computer Science 2025-01-30 Jiaxing Li , Shuwen Zhang , Zhisong Bie

A new permutation decoding approach for polar codes is presented. The complexity of the algorithm is similar to that of a successive cancellation list (SCL) decoder, while it can be implemented with the latency of a successive cancellation…

Information Theory · Computer Science 2019-01-18 Mikhail Kamenev , Yulia Kameneva , Oleg Kurmaev , Alexey Maevskiy

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

A new algorithm for efficient exact maximum likelihood decoding of polar codes (which may be CRC augmented), transmitted over the binary erasure channel, is presented. The algorithm applies a matrix triangulation process on a sparse polar…

Information Theory · Computer Science 2021-06-29 Yonatan Urman , David Burshtein

Polar codes have gained extensive attention during the past few years and recently they have been selected for the next generation of wireless communications standards (5G). Successive-cancellation-based (SC-based) decoders, such as SC list…

Information Theory · Computer Science 2020-01-08 Seyyed Ali Hashemi , Carlo Condo , Marco Mondelli , Warren J. Gross

Polar codes are a class of capacity-achieving error correcting codes that have been selected for use in enhanced mobile broadband in the 3GPP 5th generation (5G) wireless standard. Most polar code research examines the original Arikan polar…

Information Theory · Computer Science 2019-07-17 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

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

Polar codes, introduced recently by Ar\i kan, are the first family of codes known to achieve capacity of symmetric channels using a low complexity successive cancellation decoder. Although these codes, combined with successive cancellation,…

Information Theory · Computer Science 2009-05-22 Nadine Hussami , Satish Babu Korada , Rudiger Urbanke

Due to their capacity-achieving property, polar codes have become one of the most attractive channel codes. To date, the successive cancellation list (SCL) decoding algorithm is the primary approach that can guarantee outstanding…

Information Theory · Computer Science 2016-11-18 Bo Yuan , Keshab K. Parhi
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