Concise Encyclopedia of Coding Theory
Title | Concise Encyclopedia of Coding Theory PDF eBook |
Author | W. Cary Huffman |
Publisher | CRC Press |
Pages | 998 |
Release | 2021-03-26 |
Genre | Computers |
ISBN | 1351375105 |
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
Concise Encyclopedia of Computer Science
Title | Concise Encyclopedia of Computer Science PDF eBook |
Author | Edwin D. Reilly |
Publisher | John Wiley & Sons |
Pages | 908 |
Release | 2004-09-03 |
Genre | Computers |
ISBN | 9780470090954 |
The Concise Encyclopedia of Computer Science has been adapted from the full Fourth Edition to meet the needs of students, teachers and professional computer users in science and industry. As an ideal desktop reference, it contains shorter versions of 60% of the articles found in the Fourth Edition, putting computer knowledge at your fingertips. Organised to work for you, it has several features that make it an invaluable and accessible reference. These include: Cross references to closely related articles to ensure that you don’t miss relevant information Appendices covering abbreviations and acronyms, notation and units, and a timeline of significant milestones in computing have been included to ensure that you get the most from the book. A comprehensive index containing article titles, names of persons cited, references to sub-categories and important words in general usage, guarantees that you can easily find the information you need. Classification of articles around the following nine main themes allows you to follow a self study regime in a particular area: Hardware Computer Systems Information and Data Software Mathematics of Computing Theory of Computation Methodologies Applications Computing Milieux. Presenting a wide ranging perspective on the key concepts and developments that define the discipline, the Concise Encyclopedia of Computer Science is a valuable reference for all computer users.
CRC Concise Encyclopedia of Mathematics
Title | CRC Concise Encyclopedia of Mathematics PDF eBook |
Author | Eric W. Weisstein |
Publisher | CRC Press |
Pages | 3253 |
Release | 2002-12-12 |
Genre | Mathematics |
ISBN | 1420035223 |
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Essays on Coding Theory
Title | Essays on Coding Theory PDF eBook |
Author | Ian F. Blake |
Publisher | Cambridge University Press |
Pages | 474 |
Release | 2024-03-14 |
Genre | Mathematics |
ISBN | 1009283413 |
Critical coding techniques have developed over the past few decades for data storage, retrieval and transmission systems, yet they are rarely covered in the graduate curricula. This book provides new researchers in academia and industry with informal introductions to the basic ideas of these topics, including pointers to further reading.
The Theory of Information and Coding
Title | The Theory of Information and Coding PDF eBook |
Author | R. J. McEliece |
Publisher | Cambridge University Press |
Pages | 414 |
Release | 2004-07-15 |
Genre | Computers |
ISBN | 9780521831857 |
Student edition of the classic text in information and coding theory
Coding Theory
Title | Coding Theory PDF eBook |
Author | Andre Neubauer |
Publisher | John Wiley & Sons |
Pages | 362 |
Release | 2007-10-22 |
Genre | Technology & Engineering |
ISBN | 9780470519820 |
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
Introduction to Coding Theory
Title | Introduction to Coding Theory PDF eBook |
Author | J.H. van Lint |
Publisher | Springer Science & Business Media |
Pages | 260 |
Release | 1998-12-15 |
Genre | Mathematics |
ISBN | 9783540641339 |
It is gratifying that this textbook is still sufficiently popular to warrant a third edition. I have used the opportunity to improve and enlarge the book. When the second edition was prepared, only two pages on algebraic geometry codes were added. These have now been removed and replaced by a relatively long chapter on this subject. Although it is still only an introduction, the chapter requires more mathematical background of the reader than the remainder of this book. One of the very interesting recent developments concerns binary codes defined by using codes over the alphabet 7l.4• There is so much interest in this area that a chapter on the essentials was added. Knowledge of this chapter will allow the reader to study recent literature on 7l. -codes. 4 Furthermore, some material has been added that appeared in my Springer Lec ture Notes 201, but was not included in earlier editions of this book, e. g. Generalized Reed-Solomon Codes and Generalized Reed-Muller Codes. In Chapter 2, a section on "Coding Gain" ( the engineer's justification for using error-correcting codes) was added. For the author, preparing this third edition was a most welcome return to mathematics after seven years of administration. For valuable discussions on the new material, I thank C.P.l.M.Baggen, I. M.Duursma, H.D.L.Hollmann, H. C. A. van Tilborg, and R. M. Wilson. A special word of thanks to R. A. Pellikaan for his assistance with Chapter 10.