Error-Correction Coding and Decoding

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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Error-correcting Codes;Coding Theory;Cryptographic Analysis;Error Detection;Parity Check;Communications Efficiency;Maximum-likelihood Decoder;Public-key Cryptosystem;Shannon Limit;Open Access