Polynomial Theory Of Error Correcting Codes
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| Author | : Giovanni Cancellieri |
| Publisher | : Springer |
| Total Pages | : 736 |
| Release | : 2014-11-08 |
| Genre | : Technology & Engineering |
| ISBN | : 3319017276 |
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 | : Vera Pless |
| Publisher | : Wiley-Interscience |
| Total Pages | : 232 |
| Release | : 1989 |
| Genre | : Computers |
| ISBN | : |
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 |
| Total Pages | : 238 |
| Release | : 2018-05-11 |
| Genre | : Mathematics |
| ISBN | : 1351449834 |
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 |
| Total Pages | : 352 |
| Release | : 2011-02-14 |
| Genre | : Computers |
| ISBN | : 1118031512 |
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 | : William Wesley Peterson |
| Publisher | : MIT Press |
| Total Pages | : 584 |
| Release | : 1972 |
| Genre | : Computers |
| ISBN | : 9780262160391 |
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 | : Alain Poli |
| Publisher | : |
| Total Pages | : 536 |
| Release | : 1992 |
| Genre | : Computers |
| ISBN | : |
This advanced text covers both the theory and applications of coding theory. Drawing on recent research, the book explains new developments in the field of information coding. Included are worked examples and exercises.
| Author | : Florence Jessie MacWilliams |
| Publisher | : |
| Total Pages | : 788 |
| Release | : 1977 |
| Genre | : Error-correcting codes (Information theory). |
| ISBN | : |
| Author | : Jaques Calmet |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 430 |
| Release | : 1986-07 |
| Genre | : Computers |
| ISBN | : 9783540167761 |
| Author | : Elwyn R Berlekamp |
| Publisher | : World Scientific |
| Total Pages | : 501 |
| Release | : 2015-03-26 |
| Genre | : Mathematics |
| ISBN | : 981463591X |
This is the revised edition of Berlekamp's famous book, 'Algebraic Coding Theory', originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently became known as the Berlekamp-Massey Algorithm. Another is the Berlekamp algorithm for factoring polynomials over finite fields, whose later extensions and embellishments became widely used in symbolic manipulation systems. Other novel algorithms improved the basic methods for doing various arithmetic operations in finite fields of characteristic two. Other major research contributions in this book included a new class of Lee metric codes, and precise asymptotic results on the number of information symbols in long binary BCH codes.Selected chapters of the book became a standard graduate textbook.Both practicing engineers and scholars will find this book to be of great value.
| Author | : Man Young Rhee |
| Publisher | : McGraw-Hill Companies |
| Total Pages | : 488 |
| Release | : 1989 |
| Genre | : Computers |
| ISBN | : |
