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In this paper, a novel decoding algorithm for low-density parity-check (LDPC) codes based on convex optimization is presented. The decoding algorithm, called interior point decoding, is designed for linear vector channels. The linear vector…

Information Theory · Computer Science 2009-11-13 Tadashi Wadayama

Concurrent coding is an encoding scheme with "holographic" type properties that are shown here to be robust against a significant amount of noise and signal loss. This single encoding scheme is able to correct for random errors and burst…

Information Theory · Computer Science 2016-04-27 David M. Benton

Random linear codes are a workhorse in coding theory, and are used to show the existence of codes with the best known or even near-optimal trade-offs in many noise models. However, they have little structure besides linearity, and are not…

Computational Complexity · Computer Science 2024-07-11 Venkatesan Guruswami , Jonathan Mosheiff

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

Conflict-avoiding codes (CACs) were introduced by Levenshtein as a single-channel transmission scheme for a multiple-access collision channel without feedback. When the number of simultaneously active source nodes is less than or equal to…

Information Theory · Computer Science 2021-04-22 Yuan-Hsun Lo , Kenneth W. Shum , Wing Shing Wong , Yijin Zhang

We study the problem of deep joint source-channel coding (D-JSCC) for correlated image sources, where each source is transmitted through a noisy independent channel to the common receiver. In particular, we consider a pair of images…

Information Theory · Computer Science 2022-01-26 Sixian Wang , Ke Yang , Jincheng Dai , Kai Niu

Low-density parity-check (LDPC) codes with the parity-based approach for distributed joint source channel coding (DJSCC) with decoder side information is described in this paper. The parity-based approach is theoretical limit achievable.…

Information Theory · Computer Science 2014-04-10 Feng Cen

This paper analyzes security performance of an image encryption algorithm using 2D lag-complex Logistic map (LCLM), which adopts it as a pseudo-random number generator, and uses the sum of all pixel values of the plain-image as its initial…

Cryptography and Security · Computer Science 2022-08-16 Chengqing Li , Xianhui Shen , Sheng Liu

In this paper, we construct protograph-based spatially coupled low-density parity-check (SC-LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner graphs into a single coupled chain. By varying L, we obtain…

Information Theory · Computer Science 2016-11-17 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

We consider the problem of coded computing, where a computational task is performed in a distributed fashion in the presence of adversarial workers. We propose techniques to break the adversarial toleration threshold barrier previously…

Information Theory · Computer Science 2021-08-23 Mahdi Soleymani , Ramy E. Ali , Hessam Mahdavifar , A. Salman Avestimehr

Low-density parity-check (LDPC) codes are capable of achieving excellent performance and provide a useful alternative for high performance applications. However, at medium to high signal-to-noise ratios (SNR), an observable error floor…

Information Theory · Computer Science 2016-08-17 C. T. Healy , R. C. de Lamare

Linear nested codes, where two or more sub-codes are nested in a global code, have been proposed as candidates for reliable multi-terminal communication. In this paper, we consider nested array-based spatially coupled low-density…

Information Theory · Computer Science 2021-02-23 Salman Habib , David G. M. Mitchell , Joerg Kliewer

We propose the use of a lower or upper triangular sub-base matrix to replace the identity matrix in the source-check-channel-variable linking protomatrix of a double-protograph low-density parity-check joint-source-channel code (DP-LDPC…

Information Theory · Computer Science 2023-10-17 Jia Zhan , Francis C. M. Lau

The base station-mobile device communication traffic has dramatically increased recently due to mobile data, which in turn heavily overloaded the underlying infrastructure. To decrease Base Station (BS) interaction, intra-cell communication…

Information Theory · Computer Science 2021-10-04 Elif Haytaoglu , Erdi Kaya , Suayb S. Arslan

Three-dimensional (3D) topological codes offer the advantage of supporting fault-tolerant implementations of non-Clifford gates, yet their performance against realistic noise remains largely unexplored. In this work, we focus on the…

Quantum Physics · Physics 2025-10-31 Ji-Ze Xu , Yin Zhong , Miguel A. Martin-Delgado , Hao Song , Ke Liu

Physical-layer Network Coding (PNC) can significantly improve the throughput of two-way relay channels. An interesting variant of PNC is Analog Network Coding (ANC). Almost all ANC schemes proposed to date, however, operate in a symbol by…

Information Theory · Computer Science 2011-10-17 Shengli Zhang , Soung-Chang Liew , Qingfeng Zhou , Lu Lu , Hui Wang

In this paper, we present a novel way for solving the main problem of designing the capacity approaching irregular low-density parity-check (LDPC) code ensemble over binary erasure channel (BEC). The proposed method is much simpler, faster,…

Information Theory · Computer Science 2021-03-02 H. Tavakoli , M. Ahmadian Attari , M. R. Peyghami

We study the problem of achieving strong secrecy over wiretap channels at negligible cost, in the sense of maintaining the overall communication rate of the same channel without secrecy constraints. Specifically, we propose and analyze two…

Information Theory · Computer Science 2016-12-06 Remi A. Chou , Badri Vellambi , Matthieu Bloch , Joerg Kliewer

Color code is a promising topological code for fault-tolerant quantum computing. Insufficient research on the color code has delayed its practical application. In this work, we address several key issues to facilitate practical…

Quantum Physics · Physics 2024-06-04 Jiaxuan Zhang , Yu-Chun Wu , Guo-Ping Guo

Arithmetic Coding (AC) is widely used for the entropy coding of text and video data. It involves recursive partitioning of the range [0,1) in accordance with the relative probabilities of occurrence of the input symbols. A data (image or…

Multimedia · Computer Science 2013-11-14 Gaurav Pande
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