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Error correction codes are a crucial part of the physical communication layer, ensuring the reliable transfer of data over noisy channels. The design of optimal linear block codes capable of being efficiently decoded is of major concern,…

Information Theory · Computer Science 2024-05-08 Yoni Choukroun , Lior Wolf

Polar codes have received growing attention in the past decade and have been selected as the coding scheme for the control channel in the fifth generation (5G) wireless communication systems. However, the conventional polar codes have only…

Information Theory · Computer Science 2023-01-26 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

Binary linear block codes (BLBCs) are essential to modern communication, but their diverse structures often require tailor-made decoders, increasing complexity. This work introduces enhanced polar decoding ($\mathsf{PD}^+$), a universal…

Information Theory · Computer Science 2025-05-16 Chien-Ying Lin , Yu-Chih Huang , Shin-Lin Shieh , Po-Ning Chen

Recently, a parallel decoding framework of $G_N$-coset codes was proposed. High throughput is achieved by decoding the independent component polar codes in parallel. Various algorithms can be employed to decode these component codes,…

Information Theory · Computer Science 2020-04-22 Xianbin Wang , Jiajie Tong , Huazi Zhang , Shengchen Dai , Rong Li , Jun Wang

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Yang Yu , Wen Chen , Lili Wei

Coded modulation (CM) is the combination of forward error correction (FEC) and multilevel constellations. Coherent optical communication systems result in a four-dimensional (4D) signal space, which naturally leads to 4D-CM transceivers. A…

Information Theory · Computer Science 2024-01-25 Alex Alvarado , Erik Agrell

Products codes (PCs) are conventionally decoded with efficient iterative bounded-distance decoding (iBDD) based on hard-decision channel outputs which entails a performance loss compared to a soft-decision decoder. Recently, several hybrid…

Information Theory · Computer Science 2022-11-22 Sisi Miao , Lukas Rapp , Laurent Schmalen

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

In this paper, we propose an iterative source error correction (ISEC) decoding scheme for deep-learning-based joint source-channel coding (Deep JSCC). Given a noisy codeword received through the channel, we use a Deep JSCC encoder and…

Machine Learning · Computer Science 2023-02-21 Changwoo Lee , Xiao Hu , Hun-Seok Kim

Ultra-reliable low latency communication (URLLC) is a key part of 5G wireless systems. Achieving low latency necessitates codes with short blocklengths for which polar codes with successive cancellation list (SCL) decoding typically…

Hardware Architecture · Computer Science 2025-12-22 Darja Nonaca , Jérémy Guichemerre , Reinhard Wiesmayr , Nihat Engin Tunali , Christoph Studer

In this paper, we introduce an efficient iterative solver for the joint linear-programming (LP) decoding of low-density parity-check (LDPC) codes and finite-state channels (FSCs). In particular, we extend the approach of iterative…

Information Theory · Computer Science 2016-11-17 Byung-Hak Kim , Henry D. Pfister

Recently deep neural networks have been successfully applied in channel coding to improve the decoding performance. However, the state-of-the-art neural channel decoders cannot achieve high decoding performance and low complexity…

Machine Learning · Computer Science 2021-02-16 Siyu Liao , Chunhua Deng , Miao Yin , Bo Yuan

Many channel decoders rely on parallel decoding attempts to achieve good performance with acceptable latency. However, most of the time fewer attempts than the foreseen maximum are sufficient for successful decoding.…

Information Theory · Computer Science 2021-05-20 Carlo Condo , Alex Nicolescu

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

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

Visible light communication (VLC) could provide short-range optical wireless communication together with illumination using LED lighting. However, conventional forward error correction (FEC) codes for reliable communication do not have the…

Information Theory · Computer Science 2018-10-18 Junbin Fang , Zhen Che , Xiaolong Yu , Zhe Chen , Zoe L. Jiang , Siu-Ming Yiu , Kui Ren , Xiaoqing Tan

As improved versions of successive cancellation (SC) decoding algorithm, successive cancellation list (SCL) decoding and successive cancellation stack (SCS) decoding are used to improve the finite-length performance of polar codes. Unified…

Information Theory · Computer Science 2016-11-15 Kai Chen , Kai Niu , Jia-Ru Lin

The recently proposed Successive-Cancellation List Flip (SCLF) decoding algorithm for polar codes improves the error-correcting performance of state-of-the-art SC List (SCL) decoding. However, it comes at the cost of a higher complexity. In…

Information Theory · Computer Science 2024-09-04 Charles Pillet , Ilshat Sagitov , Grégoire Domer , Pascal Giard

Speculative decoding accelerates large language model (LLM) inference by using a lightweight draft model to propose tokens that are later verified by a stronger target model. While effective in centralized systems, its behavior in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Jingwei Song , Wanyi Chen , Xinyuan Song , Max , Chris Tong , Gufeng Chen , Tianyi Zhao , Eric Yang , Bill Shi , Lynn Ai

We investigate iterative low-resolution message-passing algorithms for quasi-cyclic LDPC codes with horizontal and vertical layered schedules. Coarse quantization and layered scheduling are highly relevant for hardware implementations to…

Information Theory · Computer Science 2022-12-19 Philipp Mohr , Gerhard Bauch
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