Different Aspects Of Coding Theory
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Different Aspects Of Coding Theory
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Author : Robert Calderbank
language : en
Publisher: American Mathematical Soc.
Release Date :
Different Aspects Of Coding Theory written by Robert Calderbank and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Coding theory categories.
Coding Theory Cryptography And Related Areas
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Author : Johannes Buchmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Coding Theory Cryptography And Related Areas written by Johannes Buchmann 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.
This book contains 23 contributions presented at the "International Conference on Coding Theory, Cryptography and Related Areas (ICCC)", held in Guanajuato, Mexico, in April 1998. It comprises a series of research papers on various aspects of coding theory (geometric-algebraic, decoding, exponential sums, etc.) and cryptography (discrete logarithm problem, public key cryptosystems, primitives, etc.), as well as in other research areas, such as codes over finite rings and some aspects of function fields and algebraic geometry over finite fields. The book contains new results on the subject, never published in any other form. It will be useful to students, researchers, professionals, and tutors interested in this area of research.
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.
Essays On Coding Theory
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Author : Ian F. Blake
language : en
Publisher: Cambridge University Press
Release Date : 2024-03-14
Essays On Coding Theory written by Ian F. Blake 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 2024-03-14 with Computers categories.
Brief informal introductions to coding techniques developed for the storage, retrieval, and transmission of large amounts of data.
Codes Systems And Graphical Models
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Author : Brian Marcus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Codes Systems And Graphical Models written by Brian Marcus 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.
Coding theory, system theory, and symbolic dynamics have much in common. Among the central themes in each of these subjects are the construction of state space representations, understanding of fundamental structural properties of sequence spaces, construction of input/output systems, and understanding the special role played by algebraic structure. A major new theme in this area of research is that of codes and systems based on graphical models. This volume contains survey and research articles from leading researchers at the interface of these subjects.
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.
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
Elements Of Algebraic Coding Theory
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Author : Lekh R. Vermani
language : en
Publisher: Routledge
Release Date : 2022-01-26
Elements Of Algebraic Coding Theory written by Lekh R. Vermani and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-26 with Mathematics categories.
Coding theory came into existence in the late 1940s 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 Algebraic Coding Theory
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Author : Tzuong-tsieng Moh
language : en
Publisher: World Scientific
Release Date : 2022-02-18
Introduction To Algebraic Coding Theory written by Tzuong-tsieng Moh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Mathematics categories.
We live in the age of technology where messages are transmitted in sequences of 0's and 1's through space. It is possible to make an error with noisy channels, so self-correcting codes become vital to eradicate all errors (as the number of errors is small). These self-correcting codes are widely used in the industry for a variety of applications including e-mail, telephone, remote sensing (e.g., photographs of Mars), amongst others.We will present some essentials of the theory in this book. Using linear algebra, we have the salient Hamming codes. The next level of coding theory is through the usage of ring theory, especially polynomials, rational functions and power series, to produce BCH codes, Reed-Solomon codes and the classical Goppa codes. Then we progress to the geometric Goppa code using Algebraic Geometry.
Error Correcting Coding And Security For Data Networks
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Author : Grigorii Kabatiansky
language : en
Publisher: John Wiley & Sons
Release Date : 2005-10-31
Error Correcting Coding And Security For Data Networks written by Grigorii Kabatiansky 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 2005-10-31 with Technology & Engineering categories.
Error correcting coding is often analyzed in terms of its application to the separate levels within the data network in isolation from each other. In this fresh approach, the authors consider the data network as a superchannel (a multi-layered entity) which allows error correcting coding to be evaluated as it is applied to a number of network layers as a whole. By exposing the problems of applying error correcting coding in data networks, and by discussing coding theory and its applications, this original technique shows how to correct errors in the network through joint coding at different network layers. Discusses the problem of reconciling coding applied to different layers using a superchannel approach Includes thorough coverage of all the key codes: linear block codes, Hamming, BCH and Reed-Solomon codes, LDPC codes decoding, as well as convolutional, turbo and iterative coding Considers new areas of application of error correcting codes such as transport coding, code-based cryptosystems and coding for image compression Demonstrates how to use error correcting coding to control such important data characteristics as mean message delay Provides theoretical explanations backed up by numerous real-world examples and practical recommendations Features a companion website containing additional research results including new constructions of LDPC codes, joint error-control coding and synchronization, Reed-Muller codes and their list decoding By progressing from theory through to practical problem solving, this resource contains invaluable advice for researchers, postgraduate students, engineers and computer scientists interested in data communications and applications of coding theory.