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The need to transmit and store massive amounts of data reliably and without error is a vital part of modern communications systems. Error-correcting codes play a fundamental role in minimising data corruption caused by defects such as noise, interference, crosstalk and packet loss. This book provides an accessible introduction to the basic elements of algebraic codes, and discusses their use in a variety of applications. The author describes a range of important coding techniques, including Reed-Solomon codes, BCH codes, trellis codes, and turbocodes. Throughout the book, mathematical theory is illustrated by reference to many practical examples. The book was first published in 2003 and is aimed at graduate students of electrical and computer engineering, and at practising engineers whose work involves communications or signal processing.

Data transmission systems --- Signal processing --- Data communication systems --- Transmission of data --- Digital communications --- Electronic data processing --- Electronic systems --- Information theory --- Telecommunication systems --- Mathematical models. --- Mathematics. --- Data transmission systems - Mathematical models --- Signal processing - Mathematics --- 681.3*E4 --- 681.3*I42 --- 681.3*I42 Compression (coding): approximate methods; exact coding (Image processing)--See also {681.3*E4} --- Compression (coding): approximate methods; exact coding (Image processing)--See also {681.3*E4} --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Mathematical models --- Mathematics

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Fractals. --- Image compression. --- Image processing --- Digital techniques. --- Image compression --- -Pictorial data processing --- Image data compression --- Compression (coding): approximate methods; exact coding (Image processing)--See also {681.3*E4} --- -Compression (coding): approximate methods; exact coding (Image processing)--See also {681.3*E4} --- 681.3*I42 Compression (coding): approximate methods; exact coding (Image processing)--See also {681.3*E4} --- -Image data compression --- Fractals --- 681.3*I42 --- Data compression (Telecommunication) --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Digital image processing --- Digital electronics --- Digital techniques --- Stochastic processes --- Artificial intelligence. Robotics. Simulation. Graphics --- Image processing - Digital techniques

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Algebra --- Mathematical control systems --- Discrete mathematics --- Coding theory --- Codage --- 519.7 --- 681.3*E4 --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Mathematical cybernetics --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding theory. --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- 519.7 Mathematical cybernetics --- Codage. --- Combinatorial analysis --- Analyse combinatoire

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Coding theory --- Data compression (Telecommunication) --- 681.3*E4 --- Compression of data (Telecommunication) --- Data compression (Computer science) --- Data transmission systems --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding theory. --- Data compression (Telecommunication). --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Appareils électriques

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The AAECC conferences focus on the algebraic aspects of modern computer science, which includes the most up-to-date and advanced topics. The topic of error-correcting codes is one where theory and implementation are unifiedinto a subject both of mathematical beauty and of practical importance. Algebraic algorithms are not only interesting theoretically but also important in computer and communication engineering and many other fields. This volume contains the proceedings of the 9th AAECC conference, held in New Orleans, LA, in October 1991. Researchers from Europe, America, Japan and other regions of the world presented papers at the conference. The papers present new results of recent theoretical and application-oriented research in the field.

Algebra --- -Algorithms --- -Error-correcting codes (Information theory) --- -681.3*E4 --- Codes, Error-correcting (Information theory) --- Error-detecting codes (Information theory) --- Forbidden-combination check (Information theory) --- Self-checking codes (Information theory) --- Artificial intelligence --- Automatic control --- Coding theory --- Information theory --- Algorism --- Arithmetic --- Mathematics --- Mathematical analysis --- Data processing --- -Congresses --- Congresses --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Foundations --- Algorithms --- Error-correcting codes (Information theory) --- Congresses. --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- 681.3*E4 --- Data processing&delete& --- Error-correcting codes (Information theory) - Congresses. --- Algebra - Data processing - Congresses. --- Algorithms - Congresses. --- Algebra. --- Information theory. --- Coding theory. --- Combinatorics. --- Discrete Mathematics. --- Theory of Computation. --- Coding and Information Theory. --- Symbolic and Algebraic Manipulation. --- Data processing. --- Combinatorics --- Data compression (Telecommunication) --- Digital electronics --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Communication theory --- Communication --- Cybernetics