Polynomial Theory Of Error Correcting Codes

Author : Giovanni Cancellieri
Publisher : Springer
ISBN 13 : 3319017276
Total Pages : 736 pages
Book Rating : 4.73/5 ( download)

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Download or read book Polynomial Theory of Error Correcting Codes written by Giovanni Cancellieri and published by Springer. This book was released on 2014-11-08 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction. It presents both new concepts and new families of codes. For example, lengthened and modified lengthened cyclic codes are introduced as a bridge towards time-invariant convolutional codes and their extension to time-varying versions. The novel families of codes include turbo codes and low-density parity check (LDPC) codes, the features of which are justified from the structural properties of the component codes. Design procedures for regular LDPC codes are proposed, supported by the presented theory. Quasi-cyclic LDPC codes, in block or convolutional form, represent one of the most original contributions of the book. The use of more than 100 examples allows the reader gradually to gain an understanding of the theory, and the provision of a list of more than 150 definitions, indexed at the end of the book, permits rapid location of sought information.

Author : Florence Jessie MacWilliams
Publisher : North Holland
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.58/5 ( download)

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Download or read book The Theory of Error-Correcting Codes written by Florence Jessie MacWilliams and published by North Holland. This book was released on 1978 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vera Pless
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.06/5 ( download)

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Download or read book Introduction to the Theory of Error-correcting Codes written by Vera Pless and published by Wiley-Interscience. This book was released on 1989 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory of error-correction codes, and in particular to linear block codes is provided in this book. It considers such codes as Hamming codes and Golay codes, correction of double errors, use of finite fields, cyclic codes, BCH codes and weight distributions, as well as design of codes. In this second edition, the author includes more material on non-binary code and cyclic codes. In addition some proofs have been simplified and there are many more examples and problems. The text has been aimed at mathematicians, electrical engineers and computer scientists.

Author : D J. Baylis
Publisher : Routledge
ISBN 13 : 1351449842
Total Pages : 232 pages
Book Rating : 4.47/5 ( download)

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Download or read book Error Correcting Codes written by D J. Baylis and published by Routledge. This book was released on 2018-05-11 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

Author : Jiri Adamek
Publisher : John Wiley & Sons
ISBN 13 : 1118031512
Total Pages : 352 pages
Book Rating : 4.13/5 ( download)

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Download or read book Foundations of Coding written by Jiri Adamek and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.

Author : D J. Baylis
Publisher : Routledge
ISBN 13 : 1351449834
Total Pages : 113 pages
Book Rating : 4.30/5 ( download)

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Download or read book Error Correcting Codes written by D J. Baylis and published by Routledge. This book was released on 2018-05-11 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style.Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided.Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

Author : Florence Jessie MacWilliams
Publisher :
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.39/5 ( download)

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Download or read book The Theory of Error Correcting Codes written by Florence Jessie MacWilliams and published by . This book was released on 1977 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William Wesley Peterson
Publisher : MIT Press
ISBN 13 : 9780262160391
Total Pages : 584 pages
Book Rating : 4.90/5 ( download)

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Download or read book Error-correcting Codes written by William Wesley Peterson and published by MIT Press. This book was released on 1972 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coding problem; Introduction to algebra; Linear codes; Error correction capabilities of linear codes; Important linear block codes; Polynomial rings and galois fields; Linear switching circuits; Cyclic codes; Bose-chaudhuri-hocquenghem codes; Arithmetic codes.

Author : Jaques Calmet
Publisher : Springer Science & Business Media
ISBN 13 : 9783540167761
Total Pages : 430 pages
Book Rating : 4.65/5 ( download)

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Download or read book Algebraic Algorithms and Error-Correcting Codes written by Jaques Calmet and published by Springer Science & Business Media. This book was released on 1986-07 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Florence Jessie MacWilliams
Publisher :
ISBN 13 :
Total Pages : 762 pages
Book Rating : 4.16/5 ( download)

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Download or read book The Theory of Error Correcting Codes written by Florence Jessie MacWilliams and published by . This book was released on 1978 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: