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Handbook of Coding Theory

Handbook of Coding Theory PDF Author: Vera Pless
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 1220

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Handbook of Coding Theory

Handbook of Coding Theory PDF Author: Vera Pless
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 1220

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Book Description


Information and Coding Theory

Information and Coding Theory PDF Author: Gareth A. Jones
Publisher: Springer Science & Business Media
ISBN: 9781852336226
Category : Mathematics
Languages : en
Pages : 210

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Book Description
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.

Lectures on Coding Theory

Lectures on Coding Theory PDF Author: Raj Chandra Bose
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages : 200

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Optical Coding Theory with Prime

Optical Coding Theory with Prime PDF Author: Wing C. Kwong
Publisher: CRC Press
ISBN: 1351831925
Category : Computers
Languages : en
Pages : 381

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Book Description
Although several books cover the coding theory of wireless communications and the hardware technologies and coding techniques of optical CDMA, no book has been specifically dedicated to optical coding theory—until now. Written by renowned authorities in the field, Optical Coding Theory with Prime gathers together in one volume the fundamentals and developments of optical coding theory, with a focus on families of prime codes, supplemented with several families of non-prime codes. The book also explores potential applications to coding-based optical systems and networks. Learn How to Construct and Analyze Optical Codes The authors use a theorem-proof approach, breaking down theories into digestible form so that readers can understand the main message without searching through tedious proofs. The book begins with the mathematical tools needed to understand and apply optical coding theory, from Galois fields and matrices to Gaussian and combinatorial analytical tools. Using a wealth of examples, the authors show how optical codes are constructed and analyzed, and detail their performance in a variety of applications. The book examines families of 1-D and 2-D asynchronous and synchronous, multilength, and 3-D prime codes, and some non-prime codes. Get a Working Knowledge of Optical Coding Theory to Help You Design Optical Systems and Networks Prerequisites include a basic knowledge of linear algebra and coding theory, as well as a foundation in probability and communications theory. This book draws on the authors’ extensive research to offer an authoritative reference on the emerging field of optical coding theory. In addition, it supplies a working knowledge of the theory and optical codes to help readers in the design of coding-based optical systems and networks. For more on the technological aspects of optical CDMA, see Optical Code Division Multiple Access: Fundamentals and Applications (CRC Press 2005).

Selected Topics in Information and Coding Theory

Selected Topics in Information and Coding Theory PDF Author: Isaac Woungang
Publisher: World Scientific
ISBN: 9812837167
Category : Computers
Languages : en
Pages : 706

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Book Description
The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.

Algebraic Geometry for Coding Theory and Cryptography

Algebraic Geometry for Coding Theory and Cryptography PDF Author: Everett W. Howe
Publisher: Springer
ISBN: 3319639315
Category : Mathematics
Languages : en
Pages : 150

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Book Description
Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM). The conference gathered research communities across disciplines to share ideas and problems in their fields and formed small research groups made up of graduate students, postdoctoral researchers, junior faculty, and group leaders who designed and led the projects. Peer reviewed and revised, each of this volume's five papers achieves the conference’s goal of using algebraic geometry to address a problem in either coding theory or cryptography. Proposed variants of the McEliece cryptosystem based on different constructions of codes, constructions of locally recoverable codes from algebraic curves and surfaces, and algebraic approaches to the multicast network coding problem are only some of the topics covered in this volume. Researchers and graduate-level students interested in the interactions between algebraic geometry and both coding theory and cryptography will find this volume valuable.

Noncommutative Rings and Their Applications

Noncommutative Rings and Their Applications PDF Author: Steven Dougherty
Publisher: American Mathematical Soc.
ISBN: 147041032X
Category : Mathematics
Languages : en
Pages : 265

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Book Description
This volume contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras. Material from the course ``Foundations of Algebraic Coding Theory``, given by Steven Dougherty, is included and provides the reader with the history and background of coding theory as well as the interplay between coding theory and algebra. In module theory, many new results related to (almost) injective modules, injective hulls and automorphism-invariant modules are presented. Broad generalizations of classical projective covers are studied and category theory is used to describe the structure of some modules. In some papers related to more classical ring theory such as quasi duo rings or clean elements, new points of view on classical conjectures and standard open problems are given. Descriptions of codes over local commutative Frobenius rings are discussed, and a list of open problems in coding theory is presented within their context.

Gröbner Bases and Applications

Gröbner Bases and Applications PDF Author: Burchberger Winkler
Publisher: Cambridge University Press
ISBN: 9780521632980
Category : Mathematics
Languages : en
Pages : 552

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Book Description
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

Proceedings of the Fourth International Congress on Mathematical Education

Proceedings of the Fourth International Congress on Mathematical Education PDF Author: M. Zweng
Publisher: Springer Science & Business Media
ISBN: 1468482238
Category : Mathematics
Languages : en
Pages : 725

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Book Description
Henry O. Pollak Chairman of the International Program Committee Bell Laboratories Murray Hill, New Jersey, USA The Fourth International Congress on Mathematics Education was held in Berkeley, California, USA, August 10-16, 1980. Previous Congresses were held in Lyons in 1969, Exeter in 1972, and Karlsruhe in 1976. Attendance at Berkeley was about 1800 full and 500 associate members from about 90 countries; at least half of these come from outside of North America. About 450 persons participated in the program either as speakers or as presiders; approximately 40 percent of these came from the U.S. or Canada. There were four plenary addresses; they were delivered by Hans Freudenthal on major problems of mathematics education, Hermina Sinclair on the relationship between the learning of language and of mathematics, Seymour Papert on the computer as carrier of mathematical culture, and Hua Loo-Keng on popularising and applying mathematical methods. Gearge Polya was the honorary president of the Congress; illness prevented his planned attendence but he sent a brief presentation entitled, "Mathematics Improves the Mind". There was a full program of speakers, panelists, debates, miniconferences, and meetings of working and study groups. In addition, 18 major projects from around the world were invited to make presentations, and various groups representing special areas of concern had the opportunity to meet and to plan their future activities.

Theoretical Models and Processes of Literacy

Theoretical Models and Processes of Literacy PDF Author: Donna E. Alvermann
Publisher: Routledge
ISBN: 1351616528
Category : Education
Languages : en
Pages : 624

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Book Description
The Seventh Edition of this foundational text represents the most comprehensive source available for connecting multiple and diverse theories to literacy research, broadly defined, and features both cutting-edge and classic contributions from top scholars. Two decades into the 21st century, the Seventh Edition finds itself at a crossroads and differs from its predecessors in three major ways: the more encompassing term literacy replaces reading in the title to reflect sweeping changes in how readers and writers communicate in a digital era; the focus is on conceptual essays rather than a mix of essays and research reports in earlier volumes; and most notably, contemporary literacy models and processes enhance and extend earlier theories of reading and writing. Providing a tapestry of models and theories that have informed literacy research and instruction over the years, this volume’s strong historical grounding serves as a springboard from which new perspectives are presented. The chapters in this volume have been selected to inspire the interrogation of literacy theory and to foster its further evolution. This edition is a landmark volume in which dynamic, dialogic, and generative relations of power speak directly to the present generation of literacy theorists and researchers without losing the historical contexts that preceded them. Some additional archival essays from previous editions are available on the book’s eResource. New to the Seventh Edition: Features chapters on emerging and contemporary theories that connect directly to issues of power and contrasts new models against more established counterparts. New chapters reflect sweeping changes in how readers and writers communicate in a digital era. Slimmer volume is complemented by some chapters from previous editions available online.