Coding Theory And Cryptography

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Coding Theory And Cryptology

Author : Harald Niederreiter
Publisher : World Scientific
ISBN 13 : 981448766X
Total Pages : 460 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Coding Theory And Cryptology by : Harald Niederreiter

Download or read book Coding Theory And Cryptology written by Harald Niederreiter and published by World Scientific. This book was released on 2002-12-03 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security.

Coding Theory and Cryptography

Author : David Joyner
Publisher : Springer Science & Business Media
ISBN 13 : 3642596630
Total Pages : 264 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Coding Theory and Cryptography by : David Joyner

Download or read book Coding Theory and Cryptography written by David Joyner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the Conference on Coding Theory, Cryptography, and Number Theory held at the U. S. Naval Academy during October 25-26, 1998. This book concerns elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory. Some of these papers are expository, whereas others are the result of original research. The emphasis is on geometric Goppa codes (Shokrollahi, Shokranian-Joyner), but there is also a paper on codes arising from combinatorial constructions (Michael). There are both, historical and mathematical papers on cryptography. Several of the contributions on cryptography describe the work done by the British and their allies during World War II to crack the German and Japanese ciphers (Hamer, Hilton, Tutte, Weierud, Urling). Some mathematical aspects of the Enigma rotor machine (Sherman) and more recent research on quantum cryptography (Lomonoco) are described. There are two papers concerned with the RSA cryptosystem and related number-theoretic issues (Wardlaw, Cosgrave).

Algebraic Geometry in Coding Theory and Cryptography

Author : Harald Niederreiter
Publisher : Princeton University Press
ISBN 13 : 140083130X
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Geometry in Coding Theory and Cryptography by : Harald Niederreiter

Download or read book Algebraic Geometry in Coding Theory and Cryptography written by Harald Niederreiter and published by Princeton University Press. This book was released on 2009-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books

Boolean Functions for Cryptography and Coding Theory

Author : Claude Carlet
Publisher : Cambridge University Press
ISBN 13 : 1108634664
Total Pages : 577 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet

Download or read book Boolean Functions for Cryptography and Coding Theory written by Claude Carlet and published by Cambridge University Press. This book was released on 2021-01-07 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean functions are essential to systems for secure and reliable communication. This comprehensive survey of Boolean functions for cryptography and coding covers the whole domain and all important results, building on the author's influential articles with additional topics and recent results. A useful resource for researchers and graduate students, the book balances detailed discussions of properties and parameters with examples of various types of cryptographic attacks that motivate the consideration of these parameters. It provides all the necessary background on mathematics, cryptography, and coding, and an overview on recent applications, such as side channel attacks on smart cards, cloud computing through fully homomorphic encryption, and local pseudo-random generators. The result is a complete and accessible text on the state of the art in single and multiple output Boolean functions that illustrates the interaction between mathematics, computer science, and telecommunications.

Coding Theory and Cryptography

Author : D.C. Hankerson
Publisher : CRC Press
ISBN 13 : 0824704657
Total Pages : 370 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Coding Theory and Cryptography by : D.C. Hankerson

Download or read book Coding Theory and Cryptography written by D.C. Hankerson and published by CRC Press. This book was released on 2000-08-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offering revised and updated material on the Berlekamp-Massey decoding algorithm and convolutional codes. Introducing the mathematics as it is needed and providing exercises with solutions, this edition includes an extensive section on cryptography, designed for an introductory course on the subject.

Algebraic Geometry for Coding Theory and Cryptography

Author : Everett W. Howe
Publisher : Springer
ISBN 13 : 3319639315
Total Pages : 160 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Algebraic Geometry for Coding Theory and Cryptography by : Everett W. Howe

Download or read book Algebraic Geometry for Coding Theory and Cryptography written by Everett W. Howe and published by Springer. This book was released on 2017-11-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Cryptography

Author : Wade Trappe
Publisher : Prentice Hall
ISBN 13 : 9780131981997
Total Pages : 577 pages
Book Rating : 4.9/5 (819 download)

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Book Synopsis Introduction to Cryptography by : Wade Trappe

Download or read book Introduction to Cryptography written by Wade Trappe and published by Prentice Hall. This book was released on 2006 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is for a course in cryptography for advanced undergraduate and graduate students. Material is accessible to mathematically mature students having little background in number theory and computer programming. Core material is treated in the first eight chapters on areas such as classical cryptosystems, basic number theory, the RSA algorithm, and digital signatures. The remaining nine chapters cover optional topics including secret sharing schemes, games, and information theory. Appendices contain computer examples in Mathematica, Maple, and MATLAB. The text can be taught without computers.

Number Theory and Cryptography

Author : Marc Fischlin
Publisher : Springer
ISBN 13 : 364242001X
Total Pages : 292 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Number Theory and Cryptography by : Marc Fischlin

Download or read book Number Theory and Cryptography written by Marc Fischlin and published by Springer. This book was released on 2013-11-21 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Johannes Buchmann is internationally recognized as one of the leading figures in areas of computational number theory, cryptography and information security. He has published numerous scientific papers and books spanning a very wide spectrum of interests; besides R&D he also fulfilled lots of administrative tasks for instance building up and directing his research group CDC at Darmstadt, but he also served as the Dean of the Department of Computer Science at TU Darmstadt and then went on to become Vice President of the university for six years (2001-2007). This festschrift, published in honor of Johannes Buchmann on the occasion of his 60th birthday, contains contributions by some of his colleagues, former students and friends. The papers give an overview of Johannes Buchmann's research interests, ranging from computational number theory and the hardness of cryptographic assumptions to more application-oriented topics such as privacy and hardware security. With this book we celebrate Johannes Buchmann's vision and achievements.

Gröbner Bases, Coding, and Cryptography

Author : Massimiliano Sala
Publisher : Springer Science & Business Media
ISBN 13 : 3540938060
Total Pages : 428 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Gröbner Bases, Coding, and Cryptography by : Massimiliano Sala

Download or read book Gröbner Bases, Coding, and Cryptography written by Massimiliano Sala and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.

Selected Topics In Information And Coding Theory

Author : Isaac Woungang
Publisher : World Scientific
ISBN 13 : 981446919X
Total Pages : 725 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Selected Topics In Information And Coding Theory by : Isaac Woungang

Download or read book Selected Topics In Information And Coding Theory written by Isaac Woungang and published by World Scientific. This book was released on 2010-02-26 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Boolean Functions in Coding Theory and Cryptography

Author : Oleg A. Logachev
Publisher : American Mathematical Soc.
ISBN 13 : 0821846809
Total Pages : 352 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Boolean Functions in Coding Theory and Cryptography by : Oleg A. Logachev

Download or read book Boolean Functions in Coding Theory and Cryptography written by Oleg A. Logachev and published by American Mathematical Soc.. This book was released on 2012-02-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic presentation of cryptographic and code-theoretic aspects of the theory of Boolean functions. Both classical and recent results are thoroughly presented. Prerequisites for the book include basic knowledge of linear algebra, group theory, theory of finite fields, combinatorics, and probability. The book can be used by research mathematicians and graduate students interested in discrete mathematics, coding theory, and cryptography.

Coding Theory

Author : San Ling
Publisher : Cambridge University Press
ISBN 13 : 9780521529235
Total Pages : 238 pages
Book Rating : 4.5/5 (292 download)

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Book Synopsis Coding Theory by : San Ling

Download or read book Coding Theory written by San Ling and published by Cambridge University Press. This book was released on 2004-02-12 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Code Based Secret Sharing Schemes: Applied Combinatorial Coding Theory

Author : Patrick Sole
Publisher : World Scientific
ISBN 13 : 9811248346
Total Pages : 215 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Code Based Secret Sharing Schemes: Applied Combinatorial Coding Theory by : Patrick Sole

Download or read book Code Based Secret Sharing Schemes: Applied Combinatorial Coding Theory written by Patrick Sole and published by World Scientific. This book was released on 2022-04-11 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secret sharing schemes form one of the most important topic in Cryptography. These protocols are used in many areas, applied mathematics, computer science, electrical engineering. A secret is divided into several pieces called shares. Each share is given to a user of the system. Each user has no information about the secret, but the secret can be retrieved by certain authorized coalition of users.This book is devoted to such schemes inspired by Coding Theory. The classical schemes of Shamir, Blakley, Massey are recalled. Survey is made of research in Combinatorial Coding Theory they triggered, mostly self-dual codes, and minimal codes. Applications to engineering like image processing, and key management of MANETs are highlighted.

Codes and Cryptography

Author : Dominic Welsh
Publisher : Oxford University Press
ISBN 13 : 9780198532873
Total Pages : 274 pages
Book Rating : 4.5/5 (328 download)

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Book Synopsis Codes and Cryptography by : Dominic Welsh

Download or read book Codes and Cryptography written by Dominic Welsh and published by Oxford University Press. This book was released on 1988 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook unifies the concepts of information, codes and cryptography as first considered by Shannon in his seminal papers on communication and secrecy systems. The book has been the basis of a very popular course in Communication Theory which the author has given over several years to undergraduate mathematicians and computer scientists at Oxford. The first five chapters of the book cover the fundamental ideas of information theory, compact encoding of messages, and an introduction to the theory of error-correcting codes. After a discussion of mathematical models of English, there is an introduction to the classical Shannon model of cryptography. This is followed by a brief survey of those aspects of computational complexity needed for an understanding of modern cryptography, password systems and authentication techniques. Because the aim of the text is to make this exciting branch of modern applied mathematics available to readers with a wide variety of interests and backgrounds, the mathematical prerequisites have been kept to an absolute minimum. In addition to an extensive bibliography there are many exercises (easy) and problems together with solutions.

Information Theory, Coding and Cryptography

Author : Ranjan Bose
Publisher : Tata McGraw-Hill Education
ISBN 13 : 9780070669017
Total Pages : 0 pages
Book Rating : 4.6/5 (69 download)

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Book Synopsis Information Theory, Coding and Cryptography by : Ranjan Bose

Download or read book Information Theory, Coding and Cryptography written by Ranjan Bose and published by Tata McGraw-Hill Education. This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coding and Cryptography

Author : Øyvind Ytrehus
Publisher : Springer Science & Business Media
ISBN 13 : 3540354816
Total Pages : 452 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Coding and Cryptography by : Øyvind Ytrehus

Download or read book Coding and Cryptography written by Øyvind Ytrehus and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Coding and Cryptography, WCC 2005, held in Bergen, Norway, in March 2005. The 33 revised full papers were carefully reviewed and selected during two rounds of review. The papers address all aspects of coding theory, cryptography and related areas, theoretical or applied.

Concise Encyclopedia of Coding Theory

Author : W. Cary Huffman
Publisher : CRC Press
ISBN 13 : 1351375105
Total Pages : 998 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Concise Encyclopedia of Coding Theory by : W. Cary Huffman

Download or read book Concise Encyclopedia of Coding Theory written by W. Cary Huffman and published by CRC Press. This book was released on 2021-03-26 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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