Coding Cryptography And Combinatorics

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Coding, Cryptography and Combinatorics

Author : Keqin Feng
Publisher : Birkhäuser
ISBN 13 : 3034878656
Total Pages : 403 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Coding, Cryptography and Combinatorics by : Keqin Feng

Download or read book Coding, Cryptography and Combinatorics written by Keqin Feng and published by Birkhäuser. This book was released on 2012-12-06 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has long been recognized that there are fascinating connections between cod ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care ful scrutiny, 28 papers were accepted for publication.

Coding, Cryptography, and Combinatorics

Author : Keqin Feng
Publisher : Birkhauser
ISBN 13 : 9780817624293
Total Pages : 405 pages
Book Rating : 4.6/5 (242 download)

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Book Synopsis Coding, Cryptography, and Combinatorics by : Keqin Feng

Download or read book Coding, Cryptography, and Combinatorics written by Keqin Feng and published by Birkhauser. This book was released on 2004 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of papers submitted to the Workshop on Coding, Cryptography and Combinatorics (CCC 2003). An important feature of the book are invited surveys on key topics such as Boolean functions in cryptology, correlation attacks on LFSR sequences, decoding algorithms for linear codes, LDPC codes, and towers of function fields. There are also carefully selected contributed papers on many aspects of coding theory, cryptology and combinatorics, for instance, new constructions of codes, decoding algorithms, coding bounds, digital nets, cryptanalysis of cryptosystems and other cryptographic schemes, linear complexity o sequences, cross-correlation of sequences, authentication codes, fast arithmetic for cryptosystems, capacity regions, and combinatorial tableaux. The reader will be informed about current reesearch in these very active areas. The book is of interest for postgraduate students and researchers in mathematics, computer science, information theory and electrical engineering.

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).

Cryptography and Coding

Author : Colin Boyd
Publisher : Springer Science & Business Media
ISBN 13 : 9783540606932
Total Pages : 308 pages
Book Rating : 4.6/5 (69 download)

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Book Synopsis Cryptography and Coding by : Colin Boyd

Download or read book Cryptography and Coding written by Colin Boyd and published by Springer Science & Business Media. This book was released on 1995-12 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a formal and systematic exposition of the main results on the existence and optimality of equilibria in economies with increasing returns to scale. For that, a general equilibrium model is carefully constructed first by means of a precise formalization of consumers and firms, and the proof of an abstract existence result. The analysis shifts then to the study of specific normative and positive models which are particularizations the general one, and to the study of the efficiency of equilibrium allocations. The book provides an unified approach of the topic, it maintains a relatively low mathematical complexity and offers a highly self-contained exposition.

Information Security, Coding Theory and Related Combinatorics

Author : Dean Crnković
Publisher : IOS Press
ISBN 13 : 1607506629
Total Pages : 460 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Information Security, Coding Theory and Related Combinatorics by : Dean Crnković

Download or read book Information Security, Coding Theory and Related Combinatorics written by Dean Crnković and published by IOS Press. This book was released on 2011 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published in cooperation with NATO Emerging Security Challenges Division"--T.p.

Codes: An Introduction to Information Communication and Cryptography

Author : Norman L. Biggs
Publisher : Springer Science & Business Media
ISBN 13 : 1848002734
Total Pages : 274 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Codes: An Introduction to Information Communication and Cryptography by : Norman L. Biggs

Download or read book Codes: An Introduction to Information Communication and Cryptography written by Norman L. Biggs and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many people do not realise that mathematics provides the foundation for the devices we use to handle information in the modern world. Most of those who do know probably think that the parts of mathematics involvedare quite ‘cl- sical’, such as Fourier analysis and di?erential equations. In fact, a great deal of the mathematical background is part of what used to be called ‘pure’ ma- ematics, indicating that it was created in order to deal with problems that originated within mathematics itself. It has taken many years for mathema- cians to come to terms with this situation, and some of them are still not entirely happy about it. Thisbookisanintegratedintroductionto Coding.Bythis Imeanreplacing symbolic information, such as a sequence of bits or a message written in a naturallanguage,byanother messageusing (possibly) di?erentsymbols.There are three main reasons for doing this: Economy (data compression), Reliability (correction of errors), and Security (cryptography). I have tried to cover each of these three areas in su?cient depth so that the reader can grasp the basic problems and go on to more advanced study. The mathematical theory is introduced in a way that enables the basic problems to bestatedcarefully,butwithoutunnecessaryabstraction.Theprerequisites(sets andfunctions,matrices,?niteprobability)shouldbefamiliartoanyonewhohas taken a standard course in mathematical methods or discrete mathematics. A course in elementary abstract algebra and/or number theory would be helpful, but the book contains the essential facts, and readers without this background should be able to understand what is going on. vi Thereareafewplaceswherereferenceismadetocomputeralgebrasystems.

Coding Theory and Cryptography

Author : Professor David Joyner, MD
Publisher :
ISBN 13 : 9783642596643
Total Pages : 268 pages
Book Rating : 4.5/5 (966 download)

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Book Synopsis Coding Theory and Cryptography by : Professor David Joyner, MD

Download or read book Coding Theory and Cryptography written by Professor David Joyner, MD and published by . This book was released on 1999-11-23 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: With both expository material and original research results, this book presents state-of-the-art surveys in coding theory, cryptography, and number theory, including historical references to earlier ciphers and codes. 9 illus.

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.

Cryptography and Coding III

Author : M. J. Ganley
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Cryptography and Coding III by : M. J. Ganley

Download or read book Cryptography and Coding III written by M. J. Ganley and published by Oxford University Press, USA. This book was released on 1993 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date volume surveys research and theoretical developments in the related fields of cryptography, coding, and information theory. With its applications of group theory and number theory to issues related to security systems and intelligence, this book will be of interest to probabilists and mathematicians working in industry and government departments concerned with security implementation. An international roster of distinguished scholars have contributed chapters on coding techniques for parallel asynchronous communication, digital signatures, recurrent sequences of modulo prime powers, and the design of codes for the binary adder channel. Based on the Third Conference on Cryptography and Coding held in England (1991), this book provides an invaluable synthesis of related topics in combinatorics.

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

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.

Combinatorial Designs

Author : Christos Koukouvinos
Publisher :
ISBN 13 : 9783110294088
Total Pages : 500 pages
Book Rating : 4.2/5 (94 download)

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Book Synopsis Combinatorial Designs by : Christos Koukouvinos

Download or read book Combinatorial Designs written by Christos Koukouvinos and published by . This book was released on 2014-09-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Coding Theory

Author : Jurgen Bierbrauer
Publisher : CRC Press
ISBN 13 : 135198960X
Total Pages : 318 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Introduction to Coding Theory by : Jurgen Bierbrauer

Download or read book Introduction to Coding Theory written by Jurgen Bierbrauer and published by CRC Press. This book was released on 2018-10-03 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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

Foundations of Logic and Mathematics

Author : Yves Nievergelt
Publisher : Springer Science & Business Media
ISBN 13 : 146120125X
Total Pages : 425 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Foundations of Logic and Mathematics by : Yves Nievergelt

Download or read book Foundations of Logic and Mathematics written by Yves Nievergelt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.

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.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Author : Oded Goldreich
Publisher : Springer Science & Business Media
ISBN 13 : 3662125218
Total Pages : 192 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Modern Cryptography, Probabilistic Proofs and Pseudorandomness by : Oded Goldreich

Download or read book Modern Cryptography, Probabilistic Proofs and Pseudorandomness written by Oded Goldreich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.