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Among error-correcting codes, polar codes are the first to provably achieve channel capacity with an explicit construction. In this work, we present software implementations of a polar decoder that leverage the capabilities of modern…

Information Theory · Computer Science 2015-05-20 Pascal Giard , Gabi Sarkis , Claude Thibeault , Warren J. Gross

This study focuses on the efficiency of message-passing-based decoding algorithms for polar and low-density parity-check (LDPC) codes. Both successive cancellation (SC) and belief propagation (BP) decoding algorithms are studied {in} the…

Information Theory · Computer Science 2023-04-24 Dawei Yin , Yuan Li , Xianbin Wang , Jiajie Tong , Huazi Zhang , Jun Wang , Guanghui Wang , Jun Chen , Guiying Yan , Zhiming Ma , Wen Tong

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 decoding performance of polar codes strongly depends on the decoding algorithm used, while also the decoder throughput and its latency mainly depend on the decoding algorithm. In this work, we implement the powerful successive…

Information Theory · Computer Science 2016-12-22 Sebastian Cammerer , Benedikt Leible , Matthias Stahl , Jakob Hoydis , Stephan ten Brink

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

The design of low-density parity-check (LDPC) code ensembles optimized for a finite number of decoder iterations is investigated. Our approach employs EXIT chart analysis and differential evolution to design such ensembles for the binary…

Information Theory · Computer Science 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

LDPC (Low Density Parity Check) codes are among the most powerful and widely adopted modern error correcting codes. The iterative decoding algorithms required for these codes involve high computational complexity and high processing…

Hardware Architecture · Computer Science 2011-05-16 Carlo Condo , Guido Masera

In this work, we propose the integration of GLDPC codes with short polar-like component codes, termed GLDPC codes with polar component codes (GLDPC-PC). This approach leverages the good distance properties of polar-like codes and mitigates…

Information Theory · Computer Science 2024-05-10 Binghui Shi , Yongpeng Wu , Yin Xu , Xiqi Gao , Xiaohu You , Wenjun Zhang

We propose a low complexity list successive cancellation (LCLSC) decoding algorithm to reduce complexity of traditional list successive cancellation (LSC) decoding of polar codes while trying to maintain the LSC decoding performance at the…

Information Theory · Computer Science 2013-09-13 Congzhe Cao , Zesong Fei , Jinhong Yuan , Jingming Kuang

Sparse superimposed coding (SSC) has emerged as a promising technique for short-packet transmission in ultra-reliable low-latency communication scenarios. However, conventional SSC schemes often suffer from high encoding and decoding…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Yanfeng Zhang , Xi'an Fan , Xu Zhu , Jinkai Zheng , Hui Liang , Weiwei Yang , Tom H. Luan

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

Information Theory · Computer Science 2017-01-27 Laurent Schmalen , Vahid Aref , Fanny Jardel

We develop novel protocols for generating loss-tolerant quantum codes; these are central for safeguarding information against qubit losses, with most crucial applications in quantum communications. Contrary to current proposals, our method…

Quantum Physics · Physics 2025-03-31 Francesco Cesa , Tommaso Feri , Angelo Bassi

The transducer architecture is becoming increasingly popular in the field of speech recognition, because it is naturally streaming as well as high in accuracy. One of the drawbacks of transducer is that it is difficult to decode in a fast…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-02 Wei Kang , Liyong Guo , Fangjun Kuang , Long Lin , Mingshuang Luo , Zengwei Yao , Xiaoyu Yang , Piotr Żelasko , Daniel Povey

The sixth generation (6G) wireless communication system will improve the key technical indicators by one to two orders of magnitude, and come with some new features. As a crucial technique to enhance the reliability and efficiency of data…

Information Theory · Computer Science 2025-04-08 Li Shen , Yongpeng Wu , Yin Xu , Xiaohu You , Xiqi Gao , Wenjun Zhang

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

In this study, we investigate the characteristics of scheduling sequences that enable efficient decoding of generalized low-density parity-check (GLDPC) codes under the layered message-passing algorithm. In particular, we show that…

Information Theory · Computer Science 2026-04-28 Qingqing Peng , Dongxu Chang , Guiying Yan , Guanghui Wang

Low density lattice codes (LDLC) are a family of lattice codes that can be decoded efficiently using a message-passing algorithm. In the original LDLC decoder, the message exchanged between variable nodes and check nodes are continuous…

Information Theory · Computer Science 2018-06-15 Shuiyin Liu , Yi Hong , Emanuele Viterbo , Alessia Marelli , Rino Micheloni

This paper propose a decoder architecture for low-density parity-check convolutional code (LDPCCC). Specifically, the LDPCCC is derived from a quasi-cyclic (QC) LDPC block code. By making use of the quasi-cyclic structure, the proposed…

Information Theory · Computer Science 2016-11-17 Chiu-Wing Sham , Xu Chen , Francis C. M. Lau , Yue Zhao , Wai M. Tam

Motivated by the need for channel codes with low-complexity soft-decision decoding algorithms, we consider the recursive Plotkin concatenation of optimal low-rate and high-rate codes based on simplex codes and their duals. These component…

Information Theory · Computer Science 2025-10-14 Andreas Zunker , Marvin Rübenacke , Stephan ten Brink

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