On Complexity Of Decoding Binary Cyclic Codes Using Covering Polynomials
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On Complexity Of Decoding Binary Cyclic Codes Using Covering Polynomials
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Author : Wonjin Sung
language : en
Publisher:
Release Date : 1995
On Complexity Of Decoding Binary Cyclic Codes Using Covering Polynomials written by Wonjin Sung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Proceedings
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Author :
language : en
Publisher:
Release Date : 1992
Proceedings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computer engineering categories.
Proceedings Nineteen Ninety Four Ieee International Symposium On Information Theory
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Author : IEEE Information Theory Society
language : en
Publisher: Institute of Electrical & Electronics Engineers(IEEE)
Release Date : 1994
Proceedings Nineteen Ninety Four Ieee International Symposium On Information Theory written by IEEE Information Theory Society and has been published by Institute of Electrical & Electronics Engineers(IEEE) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
Elements Of Algebraic Coding Theory
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Author : L.R. Vermani
language : en
Publisher: CRC Press
Release Date : 1996-07-01
Elements Of Algebraic Coding Theory written by L.R. Vermani and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-01 with Mathematics categories.
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
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Author : Jurgen Bierbrauer
language : en
Publisher: CRC Press
Release Date : 2018-10-03
Introduction To Coding Theory written by Jurgen Bierbrauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Mathematics categories.
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.
Fundamentals Of Classical And Modern Error Correcting Codes
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Author : Shu Lin
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-09
Fundamentals Of Classical And Modern Error Correcting Codes written by Shu Lin 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 2021-12-09 with Computers categories.
An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.
Applied Algebra Algebraic Algorithms And Error Correcting Codes
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Author : Marc Fossorier
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-11-03
Applied Algebra Algebraic Algorithms And Error Correcting Codes written by Marc Fossorier 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 1999-11-03 with Computers categories.
This book constitutes the refereed proceedings of the 19th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-13, held in Honolulu, Hawaii, USA in November 1999. The 42 revised full papers presented together with six invited survey papers were carefully reviewed and selected from a total of 86 submissions. The papers are organized in sections on codes and iterative decoding, arithmetic, graphs and matrices, block codes, rings and fields, decoding methods, code construction, algebraic curves, cryptography, codes and decoding, convolutional codes, designs, decoding of block codes, modulation and codes, Gröbner bases and AG codes, and polynomials.
Concise Encyclopedia Of Coding Theory
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Author : W. Cary Huffman
language : en
Publisher: CRC Press
Release Date : 2021-03-26
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 2021-03-26 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
Modulation And Coding Techniques In Wireless Communications
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Author : Evgenii Krouk
language : en
Publisher: John Wiley & Sons
Release Date : 2011-01-19
Modulation And Coding Techniques In Wireless Communications written by Evgenii Krouk 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 2011-01-19 with Technology & Engineering categories.
The high level of technical detail included in standards specifications can make it difficult to find the correlation between the standard specifications and the theoretical results. This book aims to cover both of these elements to give accessible information and support to readers. It explains the current and future trends on communication theory and shows how these developments are implemented in contemporary wireless communication standards. Examining modulation, coding and multiple access techniques, the book is divided into two major sections to cover these functions. The two-stage approach first treats the basics of modulation and coding theory before highlighting how these concepts are defined and implemented in modern wireless communication systems. Part 1 is devoted to the presentation of main L1 procedures and methods including modulation, coding, channel equalization and multiple access techniques. In Part 2, the uses of these procedures and methods in the wide range of wireless communication standards including WLAN, WiMax, WCDMA, HSPA, LTE and cdma2000 are considered. An essential study of the implementation of modulation and coding techniques in modern standards of wireless communication Bridges the gap between the modulation coding theory and the wireless communications standards material Divided into two parts to systematically tackle the topic - the first part develops techniques which are then applied and tailored to real world systems in the second part Covers special aspects of coding theory and how these can be effectively applied to improve the performance of wireless communications systems
Algorithmic Complexity And Telecommunication Problems
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Author : J-P Barthelmy
language : en
Publisher: CRC Press
Release Date : 2020-08-14
Algorithmic Complexity And Telecommunication Problems written by J-P Barthelmy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-14 with Computers categories.
In this treatment of algorithmic complexity the authors explore an area fundamental to the study of the foundations of computer science. It is a topic which is at the interface of information theory, applied mathematics and computer language theory and which is rooted strongly in this book in the problems of computer communication.; Complexity theory classifies problems according to the difficulty of resolving them, while algorithms provide the computational method for solving those problems. Therefore, algorithmic complexity is concerned with establishing the best algorithm given the constraints of the computational environment and the degree of complexity.; The first three chapters present the context for a later in-depth look at applied areas of the subject, with an outline of classical complexity theory. This is followed by three chapters which explore the key area of information communication. Within this field, the book is particularly concerned with two contiguous areas which make contrasting demands on the application of algorithmic complexity. Cryptography demands the creation of extremely complex problems in order to achieve its goal of security, whereas in coding for communication the emphasis is on maximizing the compact nature of the message and providing the error correction necessary for the message to achieve optimum speed. The two must co-exist and the methods outlined in "Algorithmic Complexity" suggest a number of approaches to such problems based on extensive examples of the authors' experience.; This senior undergraduate book should be an essential read for those studying advanced topics in theoretical computer science and should provide an introduction to applied complexity for researchers and professionals alike.