Different Aspects Of Coding Theory

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Different Aspects of Coding Theory

Author : Robert Calderbank
Publisher : American Mathematical Soc.
ISBN 13 : 0821803794
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Different Aspects of Coding Theory by : Robert Calderbank

Download or read book Different Aspects of Coding Theory written by Robert Calderbank and published by American Mathematical Soc.. This book was released on 1995 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposia in applied mathematics have been held under the auspices of the American Mathematical Society and others since 1967. This books connects coding theory with actual applications in consumer electronics and with other areas of mathematics. It covers in detail the mathematical foundations of digital data storage and makes connections to symbolic dynamics, linear systems, and finite automata. It also explores the use of algebraic geometry within coding theory and examines links with finite geometry, statistics, and theoretical computer science.

Coding Theory

Author : Andre Neubauer
Publisher : John Wiley & Sons
ISBN 13 : 9780470519820
Total Pages : 362 pages
Book Rating : 4.5/5 (198 download)

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Book Synopsis Coding Theory by : Andre Neubauer

Download or read book Coding Theory written by Andre Neubauer and published by John Wiley & Sons. This book was released on 2007-10-22 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important key technologies for digital communication systems as well as storage media is coding theory. It provides a means to transmit information across time and space over noisy and unreliable communication channels. Coding Theory: Algorithms, Architectures and Applications provides a concise overview of channel coding theory and practice, as well as the accompanying signal processing architectures. The book is unique in presenting algorithms, architectures, and applications of coding theory in a unified framework. It covers the basics of coding theory before moving on to discuss algebraic linear block and cyclic codes, turbo codes and low density parity check codes and space-time codes. Coding Theory provides algorithms and architectures used for implementing coding and decoding strategies as well as coding schemes used in practice especially in communication systems. Feature of the book include: Unique presentation-like style for summarising main aspects Practical issues for implementation of coding techniques Sound theoretical approach to practical, relevant coding methodologies Covers standard coding schemes such as block and convolutional codes, coding schemes such as Turbo and LDPC codes, and space time codes currently in research, all covered in a common framework with respect to their applications. This book is ideal for postgraduate and undergraduate students of communication and information engineering, as well as computer science students. It will also be of use to engineers working in the industry who want to know more about the theoretical basics of coding theory and their application in currently relevant communication systems

Elements of Algebraic Coding Theory

Author : L.R. Vermani
Publisher : CRC Press
ISBN 13 : 9780412573804
Total Pages : 270 pages
Book Rating : 4.5/5 (738 download)

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Book Synopsis Elements of Algebraic Coding Theory by : L.R. Vermani

Download or read book Elements of Algebraic Coding Theory written by L.R. Vermani and published by CRC Press. This book was released on 1996-07-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding theory came into existence in the late 1940's and is concerned with devising efficient encoding and decoding procedures. The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text. BCH and cyclic, Group codes, Hamming codes, polynomial as well as many other codes are introduced in this textbook. Incorporating numerous worked examples and complete logical proofs, it is an ideal introduction to the fundamental of algebraic coding.

Introduction to Coding Theory

Author : Ron Roth
Publisher : Cambridge University Press
ISBN 13 : 9780521845045
Total Pages : 592 pages
Book Rating : 4.8/5 (45 download)

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Book Synopsis Introduction to Coding Theory by : Ron Roth

Download or read book Introduction to Coding Theory written by Ron Roth and published by Cambridge University Press. This book was released on 2006-02-23 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description

Algebraic Geometry in Coding Theory and Cryptography

Author : Harald Niederreiter
Publisher : Princeton University Press
ISBN 13 : 140083130X
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Geometry in Coding Theory and Cryptography by : Harald Niederreiter

Download or read book Algebraic Geometry in Coding Theory and Cryptography written by Harald Niederreiter and published by Princeton University Press. This book was released on 2009-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books

Coding Theory

Author : J. H. van Lint
Publisher : Springer
ISBN 13 : 3540366571
Total Pages : 146 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Coding Theory by : J. H. van Lint

Download or read book Coding Theory written by J. H. van Lint and published by Springer. This book was released on 2009-08-14 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are the contents of a two-term course given by me during the 1970-1971 academic year as Morgan Ward visiting professor at the California Institute of Technology. The students who took the course were mathematics seniors and graduate students. Therefore a thorough knowledge of algebra. (a. o. linear algebra, theory of finite fields, characters of abelian groups) and also probability theory were assumed. After introducing coding theory and linear codes these notes concern topics mostly from algebraic coding theory. The practical side of the subject, e. g. circuitry, is not included. Some topics which one would like to include 1n a course for students of mathematics such as bounds on the information rate of codes and many connections between combinatorial mathematics and coding theory could not be treated due to lack of time. For an extension of the course into a third term these two topics would have been chosen. Although the material for this course came from many sources there are three which contributed heavily and which were used as suggested reading material for the students. These are W. W. Peterson's Error-Correcting Codes «(15]), E. R. Berlekamp's Algebraic Coding Theory «(5]) and several of the AFCRL-reports by E. F. Assmus, H. F. Mattson and R. Turyn ([2], (3), [4] a. o. ). For several fruitful discussions I would like to thank R. J. McEliece.

Concise Encyclopedia of Coding Theory

Author : W. Cary Huffman
Publisher : CRC Press
ISBN 13 : 1351375105
Total Pages : 998 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Concise Encyclopedia of Coding Theory by : W. Cary Huffman

Download or read book Concise Encyclopedia of Coding Theory written by W. Cary Huffman and published by CRC Press. This book was released on 2021-03-26 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research

Introduction to Coding Theory

Author : Jurgen Bierbrauer
Publisher : CRC Press
ISBN 13 : 135198960X
Total Pages : 267 pages
Book Rating : 4.3/5 (519 download)

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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 2018-10-03 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although its roots lie in information theory, the applications of coding theory now extend to statistics, cryptography, and many areas of pure mathematics, as well as pervading large parts of theoretical computer science, from universal hashing to numerical integration. Introduction to Coding Theory introduces the theory of error-correcting codes in a thorough but gentle presentation. Part I begins with basic concepts, then builds from binary linear codes and Reed-Solomon codes to universal hashing, asymptotic results, and 3-dimensional codes. Part II emphasizes cyclic codes, applications, and the geometric desciption of codes. The author takes a unique, more natural approach to cyclic codes that is not couched in ring theory but by virtue of its simplicity, leads to far-reaching generalizations. Throughout the book, his discussions are packed with applications that include, but reach well beyond, data transmission, with each one introduced as soon as the codes are developed. Although designed as an undergraduate text with myriad exercises, lists of key topics, and chapter summaries, Introduction to Coding Theory explores enough advanced topics to hold equal value as a graduate text and professional reference. Mastering the contents of this book brings a complete understanding of the theory of cyclic codes, including their various applications and the Euclidean algorithm decoding of BCH-codes, and carries readers to the level of the most recent research.

Coding and Information Theory

Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387978123
Total Pages : 520 pages
Book Rating : 4.9/5 (781 download)

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Book Synopsis Coding and Information Theory by : Steven Roman

Download or read book Coding and Information Theory written by Steven Roman and published by Springer Science & Business Media. This book was released on 1992-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.

Coding and Cryptography

Author : Øyvind Ytrehus
Publisher : Springer Science & Business Media
ISBN 13 : 3540354816
Total Pages : 452 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Coding and Cryptography by : Øyvind Ytrehus

Download or read book Coding and Cryptography written by Øyvind Ytrehus and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Coding and Cryptography, WCC 2005, held in Bergen, Norway, in March 2005. The 33 revised full papers were carefully reviewed and selected during two rounds of review. The papers address all aspects of coding theory, cryptography and related areas, theoretical or applied.

Coding Theory, Cryptography and Related Areas

Author : Johannes Buchmann
Publisher : Springer Science & Business Media
ISBN 13 : 3642571891
Total Pages : 269 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Coding Theory, Cryptography and Related Areas by : Johannes Buchmann

Download or read book Coding Theory, Cryptography and Related Areas written by Johannes Buchmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of research papers on various aspects of coding theory, cryptography, and other areas, including new and unpublished results on the subjects. The book will be useful to students, researchers, professionals, and tutors interested in this area of research.

Coding Theory

Author : San Ling
Publisher : Cambridge University Press
ISBN 13 : 9780521529235
Total Pages : 238 pages
Book Rating : 4.5/5 (292 download)

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Book Synopsis Coding Theory by : San Ling

Download or read book Coding Theory written by San Ling and published by Cambridge University Press. This book was released on 2004-02-12 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.

Selected Topics in Information and Coding Theory

Author :
Publisher :
ISBN 13 : 981446919X
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Selected Topics in Information and Coding Theory by :

Download or read book Selected Topics in Information and Coding Theory written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coding Theory

Author : Sudhakar Radhakrishnan
Publisher : BoD – Books on Demand
ISBN 13 : 1789844428
Total Pages : 228 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Coding Theory by : Sudhakar Radhakrishnan

Download or read book Coding Theory written by Sudhakar Radhakrishnan and published by BoD – Books on Demand. This book was released on 2020-03-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to attract the attention of practitioners and researchers in academia and industry interested in challenging paradigms of coding theory and computer vision. The chapters in this comprehensive reference explore the latest developments, methods, approaches, and applications of coding theory in a wide variety of fields and endeavours. This book is compiled with a view to provide researchers, academicians, and readers with an in-depth discussion of the latest advances in this field. It consists of twelve chapters from academicians, practitioners, and researchers from different disciplines of life. All the chapters are authored by various researchers around the world covering the field of coding theory and image and video processing. This book mainly focusses on researchers who can do quality research in the area of coding theory and image and video processing and related fields. Each chapter is an independent research study, which will motivate young researchers to think about. These twelve chapters are presented in three sections and will be an eye-opener for all who systematic researchers in these fields.

Information and Coding Theory

Author : Gareth A. Jones
Publisher : Springer Science & Business Media
ISBN 13 : 1447103610
Total Pages : 217 pages
Book Rating : 4.4/5 (471 download)

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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.

Introduction to Coding Theory

Author : Jurgen Bierbrauer
Publisher : CRC Press
ISBN 13 : 148229981X
Total Pages : 512 pages
Book Rating : 4.4/5 (822 download)

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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.

Network Coding Theory

Author : Raymond W. Yeung
Publisher : Now Publishers Inc
ISBN 13 : 1933019247
Total Pages : 156 pages
Book Rating : 4.9/5 (33 download)

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Book Synopsis Network Coding Theory by : Raymond W. Yeung

Download or read book Network Coding Theory written by Raymond W. Yeung and published by Now Publishers Inc. This book was released on 2006 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a tutorial on the basics of network coding theory. Divided into two parts, this book presents a unified framework for understanding the basic notions and fundamental results in network coding. It is aimed at students, researchers and practitioners working in networking research.