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Coding theory

Most popular at the top

  • Coding Theory And Cryptologyby H Niederreiter

    World Scientific 2002; US$ 91.00

    The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. more...

  • Fundamentals of Error-Correcting Codesby W. Cary Huffman; Vera Pless

    Cambridge University Press 2003; US$ 52.00

    Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, much coverage is included of recent techniques which until now could only be found in specialist journals and book publications. more...

  • Foundations of Cryptography: Volume 1, Basic Toolsby Oded Goldreich

    Cambridge University Press 2001; US$ 42.00

    The design of cryptographic systems must be based on firm foundations. This book focuses on the basic mathematical tools needed for cryptographic design: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs. Suitable for use in a graduate course, the book's emphasis is on the clarification of fundamental concepts, and on demonstrating the feasibility of solving important cryptographic problems. more...

  • RSA and Public-Key Cryptographyby Richard A. Mollin

    CRC Press 2002; US$ 94.95

    Richard A. Mollin brings together all of the relevant information available on public-key cryptography (PKC), from RSA to the latest applications of PKC, including electronic cash, secret broadcasting, secret balloting systems, various banking and payment protocols, smart cards, and biometrics. more...

  • Coding Theoryby San Ling; Chaoping Xing

    Cambridge University Press 2004; US$ 48.00

    Based on the authors' teaching experiences, this book provides a thoroughly modern introduction to the coding theory - a subject of central importance for many applications in engineering and computer science. There are numerous examples and exercises, some of which introduce students to novel or more advanced material. more...

  • Code Design for Dependable Systemsby Eiji Fujiwara

    John Wiley & Sons, Inc. 2006; US$ 200.00

    Theoretical and practical tools to master matrix code design strategy and technique Error correcting and detecting codes are essential to improving system reliability and have popularly been applied to computer systems and communication systems. Coding theory has been studied mainly using the code generator polynomials; hence, the codes are sometimes called polynomial codes. On the other hand, the codes designed by parity check matrices are referred to in this book as matrix codes. This timely book focuses on the design theory for matrix codes and their practical applications for the improvement of system reliability. As the author effectively demonstrates, matrix codes are far more flexible than polynomial codes, as they are capable of expressing... more...

  • The Art of Error Correcting Codingby Robert H. Morelos-Zaragoza

    John Wiley & Sons, Ltd. 2006; US$ 100.00

    Building on the success of the first edition, which offered a practical introductory approach to the techniques of error concealment, this book, now fully revised and updated, provides a comprehensive treatment of the subject and includes a wealth of additional features.  The Art of Error Correcting Coding, Second Edition explores intermediate and advanced level concepts as well as those which will appeal to the novice. All key topics are discussed, including Reed-Solomon codes, Viterbi decoding, soft-output decoding algorithms, MAP, log-MAP and MAX-log-MAP.  Reliability-based algorithms GMD and Chase are examined, as are turbo codes, both serially and parallel concatenated, as well as low-density parity-check (LDPC) codes and their... more...

  • Essentials of Error-Control Codingby Castiñ; Jorge eira Moreira; Patrick Guy Farrell

    John Wiley & Sons, Ltd. 2006; US$ 90.00

    Rapid advances in electronic and optical technology have enabled the implementation of powerful error-control codes, which are now used in almost the entire range of information systems with close to optimal performance. These codes and decoding methods are required for the detection and correction of the errors and erasures which inevitably occur in digital information during transmission, storage and processing because of noise, interference and other imperfections. Error-control coding is a complex, novel and unfamiliar area, not yet widely understood and appreciated. This book sets out to provide a clear description of the essentials of the subject, with comprehensive and up-to-date coverage of the most useful codes and their decoding algorithms.... more...

  • Self-Dual Codes and Invariant Theoryby Gabriele Nebe; Eric M. Rains; Neil J. A. Sloane

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 139.00

    One of the most remarkable theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. Part of an encyclopedia listing the different types of self-dual codes and their properties, this book develops a different theory. more...

  • Topics in Geometry, Coding Theory and Cryptographyby Arnaldo Garcia; Henning Stichtenoth

    Springer 2006; US$ 119.00

    After Goppa's discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. This book presents survey articles on some of these developments. more...