Different Aspects Of Coding Theory

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Selected Topics In Information And Coding Theory

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Author : Isaac Woungang
language : en
Publisher: World Scientific
Release Date : 2010

Selected Topics In Information And Coding Theory written by Isaac Woungang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.

Pt. 1. Applications of coding theory to computational complexity. ch. 1. Linear complexity and related complexity measures / Arne Winterhof. ch. 2. Lattice and construction of high coding gain lattices from codes / Mohammd-Reza Sadeghi. ch. 3. Distributed space-time codes with low ML decoding complexity / G. Susinder Rajan and B. Sundar Rajan -- pt. 2. Methods of algebraic combinatorics in coding theory/codes construction and existence. ch. 4. Coding theory and algebraic combinatorics / Michael Huber. ch. 5. Block codes from matrix and group rings / Paul Hurley and Ted Hurley. ch. 6. LDPC and convolutional codes from matrix and group rings / Paul Hurley and Ted Hurley. ch. 7. Search for good linear codes in the class of quasi-cyclic and related codes / Nuh Aydin and Tsvetan Asamov -- pt. 3. Source coding/channel capacity/network coding. ch. 8. Applications of universal source coding to statistical analysis of time series / Boris Ryabko. ch. 9. Introduction to network coding for acyclic and cyclic networks / Ángela I. Barbero and Øyvind Ytrehus. ch. 10. Distributed joint source-channel coding on a multiple access channel / Vinod Sharma and R. Rajesh -- pt. 4. Other selected topics in information and coding theory. ch. 11. Low-density parity-check codes and the related performance analysis methods / Xudong Ma. ch. 12. Variable length codes and finite automata / Marie-Pierre Béal [und weitere]. ch. 13. Decoding and finding the minimum distance with Gröbner Bases : history and new insights / Stanislav Bulygin and Ruud Pellikaan. ch. 14. Cooperative diversity systems for wireless communication / Murat Uysal and Muhammad Mehboob Fareed. ch. 15. Public key cryptography and coding theory / Pascal Véron

Coding Theory

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Author : Andre Neubauer
language : en
Publisher: John Wiley & Sons
Release Date : 2007-10-22

Coding Theory written by Andre Neubauer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-22 with Technology & Engineering categories.

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

Basil Bernstein Code Theory And Education

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Author : Parlo Singh
language : en
Publisher: Routledge
Release Date : 2020-11-25

Basil Bernstein Code Theory And Education written by Parlo Singh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Education categories.

Over a career spanning forty years, Basil Bernstein produced theoretical models about the workings of educational systems, and how these systems produce social relations of inequality. He was considered by many to be a radical scholar whose work generated enormous controversies. One such controversy was around code theory, specifically restricted and elaborated codes which came to signify—for some scholars—the deficit views of those living in poverty. Bernstein weathered the intensity of the debates around these ideas, spending much of his career vehemently challenging deficit portrayals of code theory, reworking and extending his theoretical corpus with the development of ideas around pedagogic discourse and identity. The past decade has witnessed a revival of interest in Bernstein’s theoretical ideas across fields as diverse as policy studies, sociology of education, curriculum and pedagogy studies, anthropology, linguistics, and social and cultural psychology. This book contributes to the revival of Bernstein’s work by examining specifically some women’s contribution to this theoretical corpus. The contributions traverse a number of disciplines, building a rich tapestry of concepts to think about education systems and the formation of social minds. Significantly the book tackles the complex matter of how to empirically work with Bernstein’s ideas, and so contribute to debates about the nexus between theory and methods. The chapters in this book were originally published as articles in Taylor & Francis journals or previously published in Taylor & Francis books.

Foundations Of Coding Theory

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Author : W.E. Hartnett
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Foundations Of Coding Theory written by W.E. Hartnett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.

During the sixteenth century, Cardano wrote a fascinating work called The Book on Games of Chance. In it he gives an extremely candid recount ing and personal appraisal of some aspects of his most remarkable life. * One feature of the book is striking for the modern scientist or mathemati cian accustomed to current publishing practices. It is brought out during Cardano's discussion of his investigations of certain special questions of applied probability, namely, the question of how to win at gambling. His technique is simplicity itself: in fine reportorial style he reveals his proposed strategy for a particular gambling game, giving marvelous motivating arguments which induce the reader to feel warm, heartfelt support for the projected strategy. Then with all the drama that only a ringside seat observation can bring, Cardano announces that he tried the strategy at the casino and ended up borrowing his taxi fare. Undaunted by failure, he analyzes his now fire-tested strategy in detail, mounts new and per suasive arguments, and, ablaze with fresh optimism and replenished resources, charges off to the fray determined to now succeed where he had so often failed before. Along the way, Cardano developed a number of valuable insights about games of chance and produced useful research results which presumably would be of interest in our present-day society. However, he could never publish the results today in journals with all the flair, the mistakes, the failures and minor successes which he exhibits in his book.

A Student S Guide To Coding And Information Theory

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Author : Stefan M. Moser
language : en
Publisher: Cambridge University Press
Release Date : 2012-01-26

A Student S Guide To Coding And Information Theory written by Stefan M. Moser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-26 with Technology & Engineering categories.

This easy-to-read guide provides a concise introduction to the engineering background of modern communication systems, from mobile phones to data compression and storage. Background mathematics and specific engineering techniques are kept to a minimum so that only a basic knowledge of high-school mathematics is needed to understand the material covered. The authors begin with many practical applications in coding, including the repetition code, the Hamming code and the Huffman code. They then explain the corresponding information theory, from entropy and mutual information to channel capacity and the information transmission theorem. Finally, they provide insights into the connections between coding theory and other fields. Many worked examples are given throughout the book, using practical applications to illustrate theoretical definitions. Exercises are also included, enabling readers to double-check what they have learned and gain glimpses into more advanced topics, making this perfect for anyone who needs a quick introduction to the subject.

Information And Coding Theory

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Author : Gareth A. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-26

Information And Coding Theory written by Gareth A. Jones and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-26 with Mathematics categories.

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.

Coding And Information Theory

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Author : Steven Roman
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-06-04

Coding And Information Theory written by Steven Roman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-04 with Mathematics categories.

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.

Introduction To Coding Theory

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Author : Ron Roth
language : en
Publisher: Cambridge University Press
Release Date : 2006-02-23

Introduction To Coding Theory written by Ron Roth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-23 with Computers categories.

This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.

Self Dual Codes And Invariant Theory

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Author : Gabriele Nebe
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-20

Self Dual Codes And Invariant Theory written by Gabriele Nebe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-20 with Mathematics categories.

One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory, which has inspired hundreds of papers about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.

Concise Encyclopedia Of Coding Theory

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Author : W. Cary Huffman
language : en
Publisher: CRC Press
Release Date : 2021-03-25

Concise Encyclopedia Of Coding Theory written by W. Cary Huffman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Computers categories.

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