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Codes, Systems, and Graphical Models

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Table of Contents

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    Book Overview
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    Chapter 1 An Introduction to the Analysis of Iterative Coding Systems
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    Chapter 2 Connections Between Linear Systems and Convolutional Codes
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    Chapter 3 Multi-Dimensional Symbolic Dynamical Systems
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    Chapter 4 Linear-Congruence Constructions of Low-Density Parity-Check Codes
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    Chapter 5 On the Effective Weights of Pseudocodewords for Codes Defined on Graphs with Cycles
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    Chapter 6 Evaluation of Gallager Codes for Short Block Length and High Rate Applications
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    Chapter 7 Two Small Gallager Codes
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    Chapter 8 Mildly Non-Linear Codes
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    Chapter 9 Capacity-Achieving Sequences
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    Chapter 10 Hypertrellis: A Generalization of Trellis and Factor Graph
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    Chapter 11 BSC Thresholds for Code Ensembles Based on “Typical Pairs” Decoding
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    Chapter 12 Properties of the Tailbiting BCJR Decoder
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    Chapter 13 Iterative Decoding of Tail-Biting Trellises and Connections with Symbolic Dynamics
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    Chapter 14 Algorithms for Decoding and Interpolation
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    Chapter 15 An Algebraic Description of Iterative Decoding Schemes
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    Chapter 16 Recursive Construction of GrÖbner Bases for the Solution of Polynomial Congruences
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    Chapter 17 On Iterative Decoding of Cycle Codes of Graphs
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    Chapter 18 Convolutional Codes Over Finite Abelian Groups: Some Basic Results
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    Chapter 19 Symbolic Dynamics and Convolutional Codes
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    Chapter 20 Linear Codes and Their Duals Over Artinian Rings
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    Chapter 21 Unit Memory Convolutional Codes with Maximum Distance
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    Chapter 22 Basic Properties of Multidimensional Convolutional Codes
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    Chapter 23 Length Distributions and Regular Sequences
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    Chapter 24 Handelman’s Theorem on Polynomials with Positive Multiples
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    Chapter 25 Topological Dynamics of Cellular Automata
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    Chapter 26 A Spanning Tree Invariant for Markov Shifts
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Title
Codes, Systems, and Graphical Models
Published by
Springer New York, December 2012
DOI 10.1007/978-1-4613-0165-3
ISBNs
978-1-4613-0165-3, 978-0-387-95173-7
Editors

Marcus, Brian, Rosenthal, Joachim

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Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Bachelor 1 100%
Readers by discipline Count As %
Physics and Astronomy 1 100%