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The use of Space-Time Block Codes (STBCs) increases significantly the optimal detection complexity at the receiver unless the low-complexity decodability property is taken into consideration in the STBC design. In this paper we propose a…

Information Theory · Computer Science 2016-11-17 Amr Ismail , Jocelyn Fiorina , Hikmet Sari

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

It is known belief propagation decoding variants of LDPC codes can be unrolled easily as neural networks after assigning differed weights to message passing edges flexibly. In this paper we focus on how to determine these weights, in the…

Information Theory · Computer Science 2022-08-10 Guangwen Li , Xiao Yu

Quantum low-density parity-check (QLDPC) codes are promising candidates for error correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum computers is the lack of a universal decoder. In this…

Quantum Physics · Physics 2025-02-18 Sisi Miao , Alexander Schnerring , Haizheng Li , Laurent Schmalen

In this paper a new message passing algorithm, which takes advantage of both tree-based re-parameterization and the knowledge of short cycles, is introduced for the purpose of decoding LDPC codes with short block lengths. The proposed…

Information Theory · Computer Science 2014-03-25 J. Li , R. C. de Lamare

The GPU as a digital signal processing accelerator for cloud RAN is investigated. A new design for a 5G NR low density parity check code decoder running on a GPU is presented. The algorithm is flexibly adaptable to GPU architecture to…

Networking and Internet Architecture · Computer Science 2020-09-14 Jonathan Ling , Paul Cautereels

Fault-tolerant quantum computers will depend crucially on the performance of the classical decoding algorithm which takes in the results of measurements and outputs corrections to the errors inferred to have occurred. Machine learning…

Quantum Physics · Physics 2025-04-18 John Blue , Harshil Avlani , Zhiyang He , Liu Ziyin , Isaac L. Chuang

Transformer-based neural decoders have emerged as a promising approach to error correction coding, combining data-driven adaptability with efficient modeling of long-range dependencies. This paper presents a novel decoder architecture that…

Information Theory · Computer Science 2025-09-22 Chin Wa Lau , Xiang Shi , Ziyan Zheng , Haiwen Cao , Nian Guo

In this paper, we introduce a new nonlinear optical channel equalizer based on Transformers. By leveraging parallel computation and attending directly to the memory across a sequence of symbols, we show that Transformers can be used…

Information Theory · Computer Science 2024-08-02 Behnam Behinaein Hamgini , Hossein Najafi , Ali Bakhshali , Zhuhong Zhang

The non-binary low-density parity-check (NB-LDPC) codes can offer promising performance advantages but suffer from high decoding complexity. To tackle this challenge, in this paper, we consider NB-LDPC codes over finite fields as codes over…

Information Theory · Computer Science 2024-10-30 V. B. Wijekoon , Emanuele Viterbo , Yi Hong

In this paper, we propose a low latency, robust and scalable neural net based decoder for convolutional and low-density parity-check (LPDC) coding schemes. The proposed decoders are demonstrated to have bit error rate (BER) and block error…

Signal Processing · Electrical Eng. & Systems 2019-08-21 Kumar Yashashwi , Deepak Anand , Sibi Raj B Pillai , Prasanna Chaporkar , K Ganesh

Ultra-reliable low-latency communications (URLLC) demand decoding algorithms that simultaneously offer high reliability and low complexity under stringent latency constraints. While iterative decoding schemes for LDPC and Polar codes offer…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Enrico Testi , Enrico Paolini

We solve the problem of designing powerful low-density parity-check (LDPC) codes with iterative decoding for the block-fading channel. We first study the case of maximum-likelihood decoding, and show that the design criterion is rather…

Information Theory · Computer Science 2016-11-18 Joseph J. Boutros , Albert Guillen i Fabregas , Ezio Biglieri , Gilles Zemor

Polar codes are the first class of error correcting codes that provably achieve the channel capacity at infinite code length. They were selected for use in the fifth generation of cellular mobile communications (5G). In practical scenarios…

Information Theory · Computer Science 2018-11-02 Nghia Doan , Seyyed Ali Hashemi , Elie Ngomseu Mambou , Thibaud Tonnellier , Warren J. Gross

This paper studies the diversity of protographbased quasi-cyclic low-density parity-check (QC-LDPC) codes over nonergodic block-fading channels under iterative beliefpropagation decoding. We introduce diversity evolution (DivE), a…

Information Theory · Computer Science 2026-02-02 Hyuntae Ahn , Inki Kim , Hee-Youl Kwak , Yongjune Kim , Chanki Kim , Sang-Hyo Kim

Sparse regression codes (SPARCs) are a class of codes that encode information through the superposition of columns of a randomised coding matrix. The combination with an outer non-binary low density parity check (NB-LDPC) code was recently…

Information Theory · Computer Science 2025-09-23 Alexander Fengler , Burak Çakmak , Giuseppe Caire

In this letter, we develop an efficient linear programming (LP) decoding algorithm for low-density parity-check (LDPC) codes. We first relax the maximum likelihood (ML) decoding problem to a LP problem by using check-node decomposition.…

Information Theory · Computer Science 2019-01-24 Jing Bai , Yongchao Wang , Francis C. M. Lau

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

The recent development of deep learning methods provides a new approach to optimize the belief propagation (BP) decoding of linear codes. However, the limitation of existing works is that the scale of neural networks increases rapidly with…

Information Theory · Computer Science 2021-02-11 Jincheng Dai , Kailin Tan , Zhongwei Si , Kai Niu , Mingzhe Chen , H. Vincent Poor , Shuguang Cui

This paper basically expresses the core fundamentals and brief overview of the research of R. G. GALLAGER [1] on Low-Density Parity-Check (LDPC) codes and various parameters related to LDPC codes like, encoding and decoding of LDPC codes,…

Information Theory · Computer Science 2020-09-21 Saumya Borwankar , Dhruv Shah