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Binary message-passing decoders for low-density parity-check (LDPC) codes are studied by using extrinsic information transfer (EXIT) charts. The channel delivers hard or soft decisions and the variable node decoder performs all computations…

Information Theory · Computer Science 2016-11-18 Gottfried Lechner , Troels Pedersen , Gerhard Kramer

The advancement of deep learning has led to the development of neural decoders for low latency communications. However, neural decoders can be very complex which can lead to increased computation and latency. We consider iterative pruning…

Machine Learning · Computer Science 2022-11-17 Vikrant Malik , Rohan Ghosh , Mehul Motani

Random linear network coding (RLNC) in theory achieves the max-flow capacity of multicast networks, at the cost of high decoding complexity. To improve the performance-complexity tradeoff, we consider the design of sparse network codes. A…

Information Theory · Computer Science 2016-04-20 Ye Li , Wai-Yip Chan , Steven D. Blostein

We propose a new framework for constructing polar codes (i.e., selecting the frozen bit positions) for arbitrary channels, and tailored to a given decoding algorithm, rather than based on the (not necessarily optimal) assumption of…

Information Theory · Computer Science 2019-01-31 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

With the use of belief propagation (BP) decoding algorithm, low-density parity-check (LDPC) codes can achieve near-Shannon limit performance. In order to evaluate the error performance of LDPC codes, simulators running on CPUs are commonly…

Information Theory · Computer Science 2012-07-30 Yue Zhao , Francis C. M. Lau

Efficient and accurate decoding of quantum error-correcting codes is essential for fault-tolerant quantum computation, however, it is challenging due to the degeneracy of errors, the complex code topology, and the large space for logical…

Quantum Physics · Physics 2025-03-28 Hanyan Cao , Feng Pan , Dongyang Feng , Yijia Wang , Pan Zhang

We combine two approaches to optimize the iterative decoding of product codes with precoded polar component codes. On one side, we generate bitwise soft messages based on the codebook probability, an approximation of an auxiliary quantity…

Information Theory · Computer Science 2025-08-29 Nicolás Alvarez Prado , Andreas Straßhofer

Error correction techniques traditionally focus on the co-design of restricted code-structures in tandem with code-specific decoders that are computationally efficient when decoding long codes in hardware. Modern applications are, however,…

Information Theory · Computer Science 2022-10-12 Ken R. Duffy , Wei An , Muriel Medard

We propose a special-purpose class of compression algorithms for efficient compression of Prolog programs. It is a dictionary-based compression method, specially designed for the compression of Prolog code, and therefore we name it PCA…

Programming Languages · Computer Science 2007-05-23 Alin Suciu , Kalman Pusztai

Maximum Likelihood (ML) decoding of forward error correction codes is known to be optimally accurate, but is not used in practice as it proves too challenging to efficiently implement. Here we introduce a ML decoder called SGRAND, which is…

Information Theory · Computer Science 2020-01-10 Amit Solomon , Ken R. Duffy , Muriel Médard

V2X (Vehicle-to-everything) communication relies on short messages for short-range transmissions over a fading wireless channel, yet requires high reliability and low latency. Hard-decision decoding sacrifices the preservation of diversity…

Information Theory · Computer Science 2024-08-08 Praveen Sai Bere , Mohammed Zafar Ali Khan , Lajos Hanzo

We consider binary systematic network codes and investigate their capability of decoding a source message either in full or in part. We carry out a probability analysis, derive closed-form expressions for the decoding probability and show…

Information Theory · Computer Science 2016-11-15 Andrew L. Jones , Ioannis Chatzigeorgiou , Andrea Tassi

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

In this paper, we propose a fast decoder algorithm for uniquely decodable (errorless) code sets for overloaded synchronous optical code-division multiple-access (O-CDMA) systems. The proposed decoder is designed in a such a way that the…

Information Theory · Computer Science 2019-02-27 Michel Kulhandjian , Hovannes Kulhandjian , Claude D'Amours , Halim Yanikomeroglu , Gurgen Khachatrian

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

In this paper we review existing hard-decision decoding algorithms for product codes along with different post-processing techniques used in conjunction with the iterative decoder for product codes. We improve the decoder by Reddy and…

Information Theory · Computer Science 2020-01-15 Ferdinand Blomqvist

In the short block length regime, ensemble decoding schemes with their inherently parallel structure can improve error correction performance and reduce latency compared to stand-alone suboptimal decoders such as belief propagation (BP). In…

Information Theory · Computer Science 2026-04-09 Jonathan Mandelbaum , Paul Bezner , Holger Jäkel , Stephan ten Brink , Laurent Schmalen

In the search for highly efficient decoders for short LDPC codes approaching maximum likelihood performance, a relayed decoding strategy, specifically activating the ordered statistics decoding process upon failure of a neural min-sum…

Information Theory · Computer Science 2024-03-26 Guangwen Li , Xiao Yu

Image perceptual hashing finds applications in content indexing, large-scale image database management, certification and authentication and digital watermarking. We propose a Block-DCT and PCA based image perceptual hash in this article…

Computer Vision and Pattern Recognition · Computer Science 2013-06-19 Zeng Jie

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