Foundations Of Coding Theory

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Foundations Of Coding
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Author : Jiri Adamek
language : en
Publisher: John Wiley & Sons
Release Date : 2011-02-14
Foundations Of Coding written by Jiri Adamek 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 2011-02-14 with Computers categories.
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.
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
Fundamentals Of Information Theory And Coding Design
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Author : Roberto Togneri
language : en
Publisher: CRC Press
Release Date : 2003-01-13
Fundamentals Of Information Theory And Coding Design written by Roberto Togneri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-13 with Computers categories.
Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret
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.
Introduction To Coding And Information Theory
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Author : Steven Roman
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-26
Introduction To 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 1996-11-26 with Computers categories.
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.
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.
Introduction To Coding Theory
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Author : J.H. van Lint
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Coding Theory written by J.H. van Lint 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 Mathematics categories.
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.
Coding Theory
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Author : San Ling
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-12
Coding Theory written by San Ling 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 2004-02-12 with Computers categories.
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.
Basics Of Contemporary Cryptography For It Practitioners
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Author : Boris Ryabko
language : en
Publisher: World Scientific
Release Date : 2005
Basics Of Contemporary Cryptography For It Practitioners written by Boris Ryabko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Business & Economics categories.
The aim of this book is to provide a comprehensive introduction to cryptography without using complex mathematical constructions. The themes are conveyed in a form that only requires a basic knowledge of mathematics, but the methods are described in sufficient detail to enable their computer implementation. The book describes the main techniques and facilities of contemporary cryptography, proving key results along the way. The contents of the first five chapters can be used for one-semester course.
Fundamentals Of Index Coding
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Author : Fatemeh Arbabjolfaei
language : en
Publisher: Foundations and Trends (R) in Communications and Information Theory
Release Date : 2018-10
Fundamentals Of Index Coding written by Fatemeh Arbabjolfaei and has been published by Foundations and Trends (R) in Communications and Information Theory this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10 with Coding theory categories.
The index coding problem provides a simple yet rich model for several important engineering tasks such as satellite communication, content broadcasting, distributed caching, device-to-device relaying, and interference management. This monograph provides a broad overview of this fascinating subject, focusing on the simplest form of multiple-unicast index coding. The main objective in studying the index coding problem are to characterize the capacity region for a general index coding instance in a computable expression and to develop the coding scheme that can achieve it. Despite their simplicity, these two closely related questions are extremely difficult and precise answers to them, after twenty years of vigorous investigation, are still in terra incognita. There are, nonetheless, many elegant results that shed light on the fundamental challenges in multiple-unicast network communication and expose intriguing interplay between coding theory, graph theory, and information theory. This monograph contains a concise survey of these results in a unified framework. It further discusses the relation to Network Coding and Distributed Storage. Fundamentals of Index Coding gives the reader a concise, yet comprehensive, overview of the work undertaken on this important topic; its relationship to adjacent areas and lays the groundwork for future research. It is a valuable starting point for all researchers and students in Information Theory.