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Key Papers In The Development Of Coding Theory
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Book Synopsis Key Papers in the Development of Coding Theory by : Elwyn R. Berlekamp
Download or read book Key Papers in the Development of Coding Theory written by Elwyn R. Berlekamp and published by . This book was released on 1974 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Key Papers in the Development of Coding Theory by : Elwyn R. Berlekamp
Download or read book Key Papers in the Development of Coding Theory written by Elwyn R. Berlekamp and published by . This book was released on 1974 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Coding Theory by : Jurgen Bierbrauer
Download or read book Introduction to Coding Theory written by Jurgen Bierbrauer and published by CRC Press. This book was released on 2016-10-14 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary introduction to coding, theory and applications of codes, and algebraic curves. The latter part presents a brief introduction to the theory of algebraic curves and its most important applications to coding theory.
Book Synopsis Information and Coding Theory by : Gareth A. Jones
Download or read book Information and Coding Theory written by Gareth A. Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an elementary introduction to information and coding theory. The first part focuses on information theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon’s Fundamental Theorem. In the second part, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes. Contains proofs, worked examples, and exercises.
Book Synopsis The Theory of Information and Coding by : R. J. McEliece
Download or read book The Theory of Information and Coding written by R. J. McEliece and published by Cambridge University Press. This book was released on 2004-07-15 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Student edition of the classic text in information and coding theory
Book Synopsis Key Papers in the Development of Coding Theory Pap Er by : Berlekamp
Download or read book Key Papers in the Development of Coding Theory Pap Er written by Berlekamp and published by . This book was released on 1974-09-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Coding Theory (Revised Edition) by : Elwyn R Berlekamp
Download or read book Algebraic Coding Theory (Revised Edition) written by Elwyn R Berlekamp and published by World Scientific. This book was released on 2015-03-26 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Arithmetic, Geometry, and Coding Theory by : R. Pellikaan
Download or read book Arithmetic, Geometry, and Coding Theory written by R. Pellikaan and published by Walter de Gruyter. This book was released on 2011-07-20 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Book Synopsis Introduction to Coding and Information Theory by : Steven Roman
Download or read book Introduction to Coding and Information Theory written by Steven Roman and published by Springer Science & Business Media. This book was released on 1996-11-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.
Book Synopsis Codes on Algebraic Curves by : Serguei A. Stepanov
Download or read book Codes on Algebraic Curves written by Serguei A. Stepanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes. There are four main divisions in the book. The first is a brief exposition of basic concepts and facts of the theory of error-correcting codes (Part I). The second is a complete presentation of the theory of algebraic curves, especially the curves defined over finite fields (Part II). The third is a detailed description of the theory of classical modular curves and their reduction modulo a prime number (Part III). The fourth (and basic) is the construction of geometric Goppa codes and the production of asymptotically good linear codes coming from algebraic curves over finite fields (Part IV). The theory of geometric Goppa codes is a fascinating topic where two extremes meet: the highly abstract and deep theory of algebraic (specifically modular) curves over finite fields and the very concrete problems in the engineering of information transmission. At the present time there are two essentially different ways to produce asymptotically good codes coming from algebraic curves over a finite field with an extremely large number of rational points. The first way, developed by M. A. Tsfasman, S. G. Vladut and Th. Zink [210], is rather difficult and assumes a serious acquaintance with the theory of modular curves and their reduction modulo a prime number. The second way, proposed recently by A.
Author :Robert Calderbank, G. David Forney, Jr., and Nader Moayeri Publisher :American Mathematical Soc. ISBN 13 :9780821870600 Total Pages :298 pages Book Rating :4.8/5 (76 download)
Book Synopsis Coding and Quantization by : Robert Calderbank, G. David Forney, Jr., and Nader Moayeri
Download or read book Coding and Quantization written by Robert Calderbank, G. David Forney, Jr., and Nader Moayeri and published by American Mathematical Soc.. This book was released on with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the DIMACS/IEEE workshop on coding and quantization. The theme of the workshop was the application of discrete mathematics to reliable data transmission and source compression. These applications will become more significant in the coming years, with the advent of high capacity cellular networks, personal communications devices, and the ``wireless office''. The articles are written by experts from industry and from academia. Requiring only a background in basic undergraduate mathematics, this book appeals to mathematicians interested in multidimensional Euclidean geometry (especially lattice theory), as well as to engineers interested in bandwidth efficient communication or vector quantization.
Download or read book NASA Technical Paper written by and published by . This book was released on 1977 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Classical, Semi-classical and Quantum Noise by : Leon Cohen
Download or read book Classical, Semi-classical and Quantum Noise written by Leon Cohen and published by Springer Science & Business Media. This book was released on 2011-12-21 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Middleton was a towering figure of 20th Century engineering and science and one of the founders of statistical communication theory. During the second World War, the young David Middleton, working with Van Fleck, devised the notion of the matched filter, which is the most basic method used for detecting signals in noise. Over the intervening six decades, the contributions of Middleton have become classics. This collection of essays by leading scientists, engineers and colleagues of David are in his honor and reflect the wide influence that he has had on many fields. Also included is the introduction by Middleton to his forthcoming book, which gives a wonderful view of the field of communication, its history and his own views on the field that he developed over the past 60 years. Focusing on classical noise modeling and applications, Classical, Semi-Classical and Quantum Noise includes coverage of statistical communication theory, non-stationary noise, molecular footprints, noise suppression, Quantum error correction, and other related topics.
Book Synopsis Digital Communication by : Christoph Meinel
Download or read book Digital Communication written by Christoph Meinel and published by Springer Science & Business Media. This book was released on 2014-02-21 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a detailed summary about the fundamentals and the historical background of digital communication. This includes an overview of the encoding principles and algorithms of textual information, audio information, as well as images, graphics, and video in the Internet. Furthermore the fundamentals of computer networking, digital security and cryptography are covered. Thus, the book provides a well-founded access to communication technology of computer networks, the internet and the WWW. Numerous pictures and images, a subject-index and a detailed list of historical personalities including a glossary for each chapter increase the practical benefit of this book that is well suited as well as for undergraduate students as for working practitioners.
Book Synopsis Algebraic Geometric Codes: Basic Notions by : Michael Tsfasman
Download or read book Algebraic Geometric Codes: Basic Notions written by Michael Tsfasman and published by American Mathematical Society. This book was released on 2022-04-15 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc. The authors give a unique perspective on the subject. Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory. There are no prerequisites other than a standard algebra graduate course. The first two chapters of the book can serve as an introduction to coding theory and algebraic geometry respectively. Special attention is given to the geometry of curves over finite fields in the third chapter. Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes.
Book Synopsis The Art of Error Correcting Coding by : Robert H. Morelos-Zaragoza
Download or read book The Art of Error Correcting Coding written by Robert H. Morelos-Zaragoza and published by John Wiley & Sons. This book was released on 2006-07-11 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 iterative decoders. Features additional problems at the end of each chapter and an instructor’s solutions manual Updated companion website offers new C/C ++programs and MATLAB scripts, to help with the understanding and implementation of basic ECC techniques Easy to follow examples illustrate the fundamental concepts of error correcting codes Basic analysis tools are provided throughout to help in the assessment of the error performance block and convolutional codes of a particular error correcting coding (ECC) scheme for a selection of the basic channel models This edition provides an essential resource to engineers, computer scientists and graduate students alike for understanding and applying ECC techniques in the transmission and storage of digital information.
Download or read book Algebraic Coding written by Gerard Cohen and published by Springer Science & Business Media. This book was released on 1994-04-28 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the changes in the regional infrastructure within the European automobile industry. It is based on the increased competition between the European automobile industry and its suppliers, which has several causes: the intensified activities of Japanese competitors in Europe, leading to faster adaptation to new production concepts in European companies (lean production); concentration of suppliers in connection with these new concepts; new opportunities and competition as a result of the home market and the opening of Eastern Europe.