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Recently, a novel lookup table based decoding method for binary low-density parity-check codes has attracted considerable attention. In this approach, mutual-information maximizing lookup tables replace the conventional operations of the…

Information Theory · Computer Science 2019-10-24 Maximilian Stark , Jan Lewandowsky , Souradip Saha , Gerhard Bauch

This paper investigates decoding of binary linear block codes over the binary erasure channel (BEC). Of the current iterative decoding algorithms on this channel, we review the Recovery Algorithm and the Guess Algorithm. We then present a…

Information Theory · Computer Science 2007-07-13 J. Cai , C. Tjhai , M. Tomlinson , M. Ambroze , M. Ahmed

This paper studies maximum likelihood(ML) decoding in error-correcting codes as rational maps and proposes an approximate ML decoding rule by using a Taylor expansion. The point for the Taylor expansion, which will be denoted by $p$ in the…

Dynamical Systems · Mathematics 2010-06-30 Kazunori Hayashi , Yasuaki Hiraoka

We investigate the MIMO broadcast channel in the high SNR regime when linear filtering is applied instead of dirty paper coding. Using a user-wise rate duality where the streams of every single user are not treated as self-interference as…

Information Theory · Computer Science 2008-07-18 Raphael Hunger , Michael Joham

In this paper, we study the broadcast decoding delay performance of generalized instantly decodable network coding (G-IDNC) in the lossy feedback scenario. The problem is formulated as a maximum weight clique problem over the G-IDNC graph…

Information Theory · Computer Science 2014-11-18 Ahmed Douik , Sameh Sorour , Mohamed-Slim Alouini , Tareq Y. Al-Naffouri

This paper presents an approach for side channel cryptanalysis with iterative approximate Bayesian inference, based on sequential decoding methods. Reliability information about subkey hypotheses is generated in the form of likelihoods, and…

Cryptography and Security · Computer Science 2015-03-20 Andreas Ibing

Link adaptation is a crucial part of many modern communications systems, allowing the system to adapt the transmission and reception strategies to changes in channel conditions. One of the fundamental components of the link adaptation…

Information Theory · Computer Science 2009-09-08 Oded Redlich , Doron Ezri , Dov Wulich

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 performance of maximum-likelihood (ML) decoded binary linear block codes is addressed via the derivation of tightened upper bounds on their decoding error probability. The upper bounds on the block and bit error probabilities are valid…

Information Theory · Computer Science 2007-07-13 M. Twitto , I. Sason , S. Shamai

The problem of blind identification of channel codes at a receiver involves identifying a code chosen by a transmitter from a known code-family, by observing the transmitted codewords through the channel. Most existing approaches for…

Information Theory · Computer Science 2026-03-04 Pramod Singh , Prasad Krishnan , Arti Yardi

In this paper, we investigate the problem of recovering source information from an incomplete set of network coded data. We first study the theoretical performance of such systems under maximum a posteriori (MAP) decoding and derive the…

Information Theory · Computer Science 2015-03-16 Eirina Bourtsoulatze , Nikolaos Thomos , Pascal Frossard

We investigate the reasons behind the superior performance of belief propagation decoding of non-binary LDPC codes over their binary images when the transmission occurs over the binary erasure channel. We show that although decoding over…

Information Theory · Computer Science 2016-11-15 Aman Bhatia , Aravind R. Iyengar , Paul H. Siegel

Given a pair of graphs with the same number of vertices, the inexact graph matching problem consists in finding a correspondence between the vertices of these graphs that minimizes the total number of induced edge disagreements. We study…

Machine Learning · Statistics 2020-07-06 Jesús Arroyo , Daniel L. Sussman , Carey E. Priebe , Vince Lyzinski

This paper studies coding schemes for the $q$-ary symmetric channel based on binary low-density parity-check (LDPC) codes that work for any alphabet size $q=2^m$, $m\in\mathbb{N}$, thus complementing some recently proposed packet-based…

Information Theory · Computer Science 2015-03-13 Claudio Weidmann , Gottfried Lechner

Maximum-likelihood (ML) decoding for arbitrary block codes remains fundamentally hard, with worst-case time complexity-measured by the total number of multiplications-being no better than straightforward exhaustive search, which requires…

Information Theory · Computer Science 2026-01-21 Hoang Ly , Emina Soljanin , Michael Schleppy

Efficient symbol detection algorithms carry critical importance for achieving the spatial multiplexing gains promised by multi-input multi-output (MIMO) systems. In this paper, we consider a maximum a posteriori probability (MAP) based…

Information Theory · Computer Science 2017-10-04 Yavuz Yapici , Ismail Guvenc , Yuichi Kakishima

The asymptotic iterative decoding performances of low-density parity-check (LDPC) codes using min-sum (MS) and sum-product (SP) decoding algorithms on memoryless binary-input output-symmetric (MBIOS) channels are analyzed in this paper. For…

Information Theory · Computer Science 2007-07-13 Chun-Hao Hsu , Achilleas Anastasopoulos

For an arbitrary degree distribution pair (DDP), we construct a sequence of low-density parity-check (LDPC) code ensembles with girth growing logarithmically in block-length using Ramanujan graphs. When the DDP has minimum left degree at…

Information Theory · Computer Science 2016-11-17 Arunkumar Subramanian , Andrew Thangaraj , Matthieu Bloch , Steven W. McLaughlin

Many satellite communication systems operating today employ low cost upconverters or downconverters which create phase noise. This noise can severely limit the information rate of the system and pose a serious challenge for the detection…

Information Theory · Computer Science 2012-10-19 Shachar Shayovitz , Dan Raphaeli

In this work, we investigate the problem of neural-based error correction decoding, and more specifically, the new so-called syndrome-based decoding technique introduced to tackle scalability in the training phase for larger code sizes. We…

Information Theory · Computer Science 2024-03-06 Gastón De Boni Rovella , Meryem Benammar
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