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In this paper, we introduce novel coding schemes for wireless networks with random transmission delays. These coding schemes obviate the need for synchronicity, reduce the number of transmissions and achieve the optimal rate region in the…

Information Theory · Computer Science 2015-03-04 Niv Voskoboynik , Haim H. Permuter , Asaf Cohen

We present a novel iterative decoding algorithm for Reed-Muller (RM) codes, which takes advantage of a graph representation of the code. Vertices of the considered graph correspond to codewords, with two vertices being connected by an edge…

Information Theory · Computer Science 2022-07-20 Mikhail Kamenev

In this work, we consider efficient maximum-likelihood decoding of linear block codes for small-to-moderate block lengths. The presented approach is a branch-and-bound algorithm using the cutting-plane approach of Zhang and Siegel (IEEE…

Information Theory · Computer Science 2014-04-29 Michael Helmling , Eirik Rosnes , Stefan Ruzika , Stefan Scholl

\begin{abstract} In this paper we consider Time-Varying Block (TVB) codes, which generalize a number of previous synchronization error-correcting codes. We also consider various practical issues related to MAP decoding of these codes.…

Information Theory · Computer Science 2018-02-26 Johann A. Briffa , Victor Buttigieg , Stephan Wesemeyer

Fast SC decoding overcomes the latency caused by the serial nature of the SC decoding by identifying new nodes in the upper levels of the SC decoding tree and implementing their fast parallel decoders. In this work, we first present a novel…

This paper considers rateless network error correction codes for reliable multicast in the presence of adversarial errors. Most existing network error correction codes are designed for a given network capacity and maximum number of errors…

Information Theory · Computer Science 2013-01-15 Wentao Huang , Tracey Ho , Hongyi Yao , Sidharth Jaggi

We exploit the redundancy of the language-based source to help polar decoding. By judging the validity of decoded words in the decoded sequence with the help of a dictionary, the polar list decoder constantly detects erroneous paths after…

Information Theory · Computer Science 2020-07-24 Ying Wang , Minghai Qin , Krishna R. Narayanan , Anxiao Jiang , Zvonimir Bandic

Monotone chain polar codes generalize classical polar codes to multivariate settings, offering a flexible approach for achieving the entire admissible rate region in the distributed lossless coding problem. However, this flexibility also…

Information Theory · Computer Science 2025-09-04 Zichang Ren , Chunhang Zheng , Dou Li , Yuping Zhao

We study codes that are list-decodable under insertions and deletions. Specifically, we consider the setting where a codeword over some finite alphabet of size $q$ may suffer from $\delta$ fraction of adversarial deletions and $\gamma$…

Information Theory · Computer Science 2018-02-26 Bernhard Haeupler , Amirbehshad Shahrasbi , Madhu Sudan

Tensor-network codes enable the construction of large stabilizer codes out of tensors describing smaller stabilizer codes. An application of tensor-network codes was an efficient and exact decoder for holographic codes. Here, we show how to…

Quantum Physics · Physics 2022-04-27 Terry Farrelly , David K. Tuckett , Thomas M. Stace

The problem of reconstructing a source sequence with the presence of decoder side-information that is mis-synchronized to the source due to deletions is studied in a distributed source coding framework. Motivated by practical applications,…

Information Theory · Computer Science 2016-11-17 Nan Ma , Kannan Ramchandran , David Tse

Attention-based Encoder-Decoder has the effective architecture for neural machine translation (NMT), which typically relies on recurrent neural networks (RNN) to build the blocks that will be lately called by attentive reader during the…

Computation and Language · Computer Science 2017-12-07 Hao Xiong , Zhongjun He , Xiaoguang Hu , Hua Wu

Communication in the presence of bounded timing asynchronism which is known to the receiver but cannot be easily compensated is studied. Examples of such situations include point-to-point communication over inter-symbol interference (ISI)…

Information Theory · Computer Science 2014-11-18 Ping-Chung Wang , Yu-Chih Huang , Krishna R. Narayanan

We introduce sequential and parallel decoders for quantum Tanner codes. When the Tanner code construction is applied to a sufficiently expanding square complex with robust local codes, we obtain a family of asymptotically good quantum…

Quantum Physics · Physics 2022-12-09 Anthony Leverrier , Gilles Zémor

In this paper, we shed light on how an adaptive, efficient error coding in the transport layer helps ensure the application requirements. We recap the use of MDS codes and show that binary coding can significantly reduce the complexity and…

Information Theory · Computer Science 2022-02-22 Pablo Gil Pereira , Thorsten Herfet

This paper presents an efficient hardware design approach for list successive cancellation (LSC) decoding of polar codes. By applying path-overlapping scheme, the l instances of (l > 1) successive cancellation (SC) decoder for LSC with list…

Information Theory · Computer Science 2015-11-03 Tiben Che , Jingwei Xu , Gwan Choi

We consider a system in which two users communicate with a destination with the help of a half-duplex relay. Based on the compute-and-forward scheme, we develop and evaluate the performance of coding strategies that are of network coding…

Information Theory · Computer Science 2013-06-11 Mohieddine El Soussi , Abdellatif Zaidi , Luc Vandendorpe

We give a linear-time erasure list-decoding algorithm for expander codes. More precisely, let $r > 0$ be any integer. Given an inner code $C_0$ of length $d$, and a $d$-regular bipartite expander graph $G$ with $n$ vertices on each side, we…

Information Theory · Computer Science 2020-02-21 Noga Ron-Zewi , Mary Wootters , Gilles Zémor

A modified successive cancellation list (SCL) decoder is proposed for polar-coded probabilistic shaping. The decoder exploits the deterministic encoding rule for shaping bits to rule out candidate code words that the encoder would not…

Information Theory · Computer Science 2023-10-25 Constantin Runge , Thomas Wiegart , Diego Lentner

The color code is remarkable for its ability to perform fault-tolerant logic gates. This motivates the design of practical decoders that minimise the resource cost of color-code quantum computation. Here we propose a decoder for the planar…

Quantum Physics · Physics 2022-01-20 Kaavya Sahay , Benjamin J. Brown
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