Error-correction coding and decoding : bounds, codes, decoders, analysis and applications
著者
書誌事項
Error-correction coding and decoding : bounds, codes, decoders, analysis and applications
（Signals and communication technology）
Springer Open, c2017
- : [hardback]
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors' twenty-five years of research organized into five parts:
Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems.
Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes.
Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of th
ese codes.
Part IV deals with decoders designed to realize optimum performance.
Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking.
This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field.
This book is open access under a CC BY 4.0 license.
目次
Part I: Theoretical Performance of Error-Correcting Codes.- Bounds on Error Correction Coding Performance.- Soft and Hard Decision Decoding Performance.- Soft Decision and Quantised Soft Decision Decoding.- Part II: Code Construction.- Cyclotomic Cosets, The Mattson-Solomon Polynomial, Idempotents and Cyclic Codes.- Good Binary Linear Codes.- Lagrange Codes.- Extended BCH.- Reed-Solomon Codes.- Algebraic Geometry Codes.- Algebraic Quasi Cyclic Codes.- Convolutional Codes: A Historical Perspective.- Aalogue BCH Codes.- LDPC Codes.- Part III: Analysis of Codes.- True Search for Stopping Sets for LDPC Codes.- Part IV: Decoders.- Erasures and Error-Correcting Codes.- The Modified Dorsch Decoder.- A Concatenated Error-Correction System Using the |u|u+v| Code Construction.- Part V: Applications.- Combined Error Detection and Error Correction.- Password Correction and Confidential Information Access System.- Variations on the McEliece Public Key Encryption System.- Error-Correcting Codes and Dirty-Paper Coding.
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