Codes and Cryptography

Author: Dominic Welsh

Publisher: Oxford University Press

ISBN: 9780198532873

Category: Ciphers.

Page: 257

View: 9885

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 toundergraduate 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 ofcryptography. 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.

Geometries, Codes and Cryptography

Author: G. Longo,M. Marchi,A. Sgarro

Publisher: Springer

ISBN: 3709128382

Category: Computers

Page: 228

View: 7365

The general problem studied by information theory is the reliable transmission of information through unreliable channels. Channels can be unreliable either because they are disturbed by noise or because unauthorized receivers intercept the information transmitted. In the first case, the theory of error-control codes provides techniques for correcting at least part of the errors caused by noise. In the second case cryptography offers the most suitable methods for coping with the many problems linked with secrecy and authentication. Now, both error-control and cryptography schemes can be studied, to a large extent, by suitable geometric models, belonging to the important field of finite geometries. This book provides an update survey of the state of the art of finite geometries and their applications to channel coding against noise and deliberate tampering. The book is divided into two sections, "Geometries and Codes" and "Geometries and Cryptography". The first part covers such topics as Galois geometries, Steiner systems, Circle geometry and applications to algebraic coding theory. The second part deals with unconditional secrecy and authentication, geometric threshold schemes and applications of finite geometry to cryptography. This volume recommends itself to engineers dealing with communication problems, to mathematicians and to research workers in the fields of algebraic coding theory, cryptography and information theory.

Coding and Cryptography

International Workshop, WCC 2005, Bergen, Norway, March 14-18, 2005, Revised Selected Papers

Author: Øyvind Ytrehus

Publisher: Springer Science & Business Media

ISBN: 3540354816

Category: Computers

Page: 441

View: 2370

Thisvolumecontainsrefereedpapersdevotedtocodingandcryptography.These papers arethe full versionsof a selectionof the best extended abstractsaccepted for presentation at the International Workshop on Coding and Cryptography (WCC 2005) held in Bergen, Norway, March 14–18, 2005. Each of the 118 - tended abstracts originallysubmitted to the workshop were reviewed by at least two members of the Program Committee. As a result of this screening process, 58 papers were selected for presentation, of which 52 were eventually presented at the workshop together with four invited talks. The authors of the presented papers were in turn invited to submit full v- sions of their papers to the full proceedings. Each of the full-version submissions were once again thoroughly examined and commented upon by at least two reviewers. This volume is the end result of this long process. I am grateful to the reviewers who contributed to guaranteeing the high standards of this volume, and who are named on the next pages. It was a pl- sure for me to work with my program co-chair Pascale Charpin, whose expe- enced advice I havefurther bene?ted greatly from during the preparationof this ́ volume. Discussions with Tor Helleseth and Angela Barbero were also useful in putting the volume together. Finally, I would like to thank all the authors and all the other participants of the WCC 2005 for making it in every sense a highly enjoyable event.

Gröbner Bases, Coding, and Cryptography

Author: Massimiliano Sala,Teo Mora,Ludovic Perret,Shojiro Sakata,Carlo Traverso

Publisher: Springer Science & Business Media

ISBN: 3540938060

Category: Mathematics

Page: 430

View: 5803

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.

Information Theory, Coding and Cryptography

Author: Arijit Saha,NilotPal Manna,Surajit Mandal

Publisher: Pearson Education India

ISBN: 9332517843


Page: 276

View: 6274

Information Theory, Coding & Cryptography has been designed as a comprehensive book for the students of engineering discussing Source Encoding, Error Control Codes & Cryptography. The book contains the recent developments of coded modulation, trellises for codes, turbo coding for reliable data and interleaving. The text balances the mathematical rigor with exhaustive amount of solved, unsolved questions along with a database of MCQs.

Coding and Cryptology

Second International Workshop, IWCC 2009

Author: Yeow Meng Chee,Chao Li,San Ling,Huaxiong Wang,Chaoping Xing

Publisher: Springer Science & Business Media

ISBN: 3642018130

Category: Computers

Page: 273

View: 9161

The biennial International Workshop on Coding and Cryptology (IWCC) aims to bring together many of the world's greatest minds in coding and crypt- ogy to share ideas and exchange knowledge related to advancements in c- ing and cryptology, amidst an informal setting conducive for interaction and collaboration. It is well known that fascinating connections exist between coding and cr- tology. Therefore this workshop series was organized to facilitate a fruitful - teraction and stimulating discourse among experts from these two areas. The inaugural IWCC was held at Wuyi Mountain, Fujian Province, China, during June 11-15, 2007 and attracted over 80 participants. Following this s- cess, the second IWCC was held June 1-5, 2009 at Zhangjiajie, Hunan Province, China. Zhangjiajie is one of the most scenic areas in China. The proceedings of this workshop consist of 21 technical papers, covering a wide range of topics in coding and cryptology, as well as related ?elds such as combinatorics. All papers, except one, are contributed by the invited speakers of the workshop and each paper has been carefully reviewed. We are grateful to the external reviewers for their help, which has greatly strengthened the quality of the proceedings. IWCC 2009 was co-organizedby the National University of Defense Techn- ogy (NUDT), China and Nanyang Technological University (NTU), Singapore. We acknowledge with gratitude the ?nancial support from NUDT. We wouldliketo expressourthanks to Springer formaking it possible forthe proceedings to be published in the Lecture Notes in Computer Science series.

Coding and Cryptography

Synergy for a Robust Communication

Author: Natasa Zivic

Publisher: Walter de Gruyter

ISBN: 348678126X

Category: Technology & Engineering

Page: 134

View: 6094

This book presents the benefits of the synergetic effect of the combination of coding and cryptography. It introduces new directions for the interoperability between the components of a communication system. Coding and cryptography are standard components in today’s distributed systems. The integration of cryptography into coding aspects is very interesting, as the usage of cryptography will be common use, even in industrial applications. The book is based on new developments of coding and cryptography, which use real numbers to express reliability values of bits instead of binary values 0 and 1. The presented methods are novel and designed for noisy communication, which doesn´t allow the successful use of cryptography. The rate of successful verifications is improved essentially not only for standard or “hard” verification, but even more after the introduction of “soft” verification. A security analysis shows the impact on the security. Information security and cryptography follow the late developments of communication theory by changing from “hard” to “soft”, which results in much better results.

Topics in Geometry, Coding Theory and Cryptography

Author: Arnaldo Garcia,Henning Stichtenoth

Publisher: Springer Science & Business Media

ISBN: 1402053347

Category: Mathematics

Page: 201

View: 9018

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles.

Algebraic Geometry in Coding Theory and Cryptography

Author: Harald Niederreiter,Chaoping Xing

Publisher: Princeton University Press

ISBN: 9781400831302

Category: Mathematics

Page: 272

View: 2568

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

Codes: An Introduction to Information Communication and Cryptography

Author: Norman L. Biggs

Publisher: Springer Science & Business Media

ISBN: 9781848002739

Category: Computers

Page: 274

View: 3796

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.

A Course in Number Theory and Cryptography

Author: Neal Koblitz

Publisher: Springer Science & Business Media

ISBN: 1441985921

Category: Mathematics

Page: 235

View: 6203

This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. Extensive exercises and careful answers are an integral part all of the chapters.

Coding and Cryptology

Proceedings of the International Workshop, Wuyi Mountain, Fujian, China 11-15 June 2007

Author: N.A

Publisher: World Scientific

ISBN: 9812832246

Category: Coding theory

Page: 288

View: 6888

Over the past years, the rapid growth of the Internet and World Wide Web has provided great opportunities for online commercial activities, business transactions and government services over open computer and communication networks. However, such developments are only possible if communications can be conducted in a secure and reliable manner. The mathematical theory and practice of coding theory and cryptology underpin the provision of effective security and reliability for data communication, processing and storage. Theoretical and practical advances in these fields are therefore a key factor in facilitating the growth of data communications and data networks.The aim of the International Workshop on Coding and Cryptology 2007 was to bring together experts from coding theory, cryptology and their related areas for a fruitful exchange of ideas in order to stimulate further research and collaboration among mathematicians, computer scientists, practical cryptographers and engineers. This post-proceedings of the workshop consists of 20 selected papers on a wide range of topics in coding theory and cryptology, including theory, techniques, applications, and practical experiences. They cover significant advances in these areas and contain very useful surveys.

Coding Theory and Cryptography

The Essentials, Second Edition

Author: D.C. Hankerson,Gary Hoffman,D.A. Leonard,Charles C. Lindner,K.T. Phelps,C.A. Rodger,J.R. Wall

Publisher: CRC Press

ISBN: 0824704657

Category: Computers

Page: 368

View: 3277

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.

Error-correcting Codes, Finite Geometries, and Cryptography

Conference on Error-control Codes, Information Theory, and Applied Cryptography, December 5-6, 2007, Fields Institute, Toronto, Ontario, Canada : Canadian Mathematical Society Special Session on Error Control Codes, Information Theory, and Applied Cryptography, Dec 8-10, 2007, CMS Winter Meeting, London, Ontario, Canada

Author: Aiden A. Bruen,David L. Wehlau

Publisher: American Mathematical Soc.

ISBN: 0821849565

Category: Mathematics

Page: 244

View: 1088

This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, On, Canada from December 5-6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8-10, 2007. The volume features cutting-edge theoretical results on the Reed-Muller and Reed-Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0, 1) matrices with forbidden configurations, Andre embeddings, and representations of projective spaces in affine planes. Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interst and of benefit both to the experienced and to newcomers alike.

3rd International Castle Meeting on Coding Theory and Applications

Author: Joaquim Borges,Mercè Villanueva

Publisher: Univ. Autònoma de Barcelona

ISBN: 8449026881

Category: Education

Page: 292

View: 4391

In 1999, a conference called International Meeting on Coding Theory and Cryptography took place at Mota Castle in Castilia (Spain). The conference had great acceptance within the community of coding theory and cryptography researchers. At that moment, and also nowadays, there are not many international workshops about these topics, at least if we compare with other mathematical and engineering subjects of research. Therefore, the general desire was to continue with more Castle Meetings. However, the following conference did not take place until 2008. In that case, the conference was called II International Castle Meeting on Coding Theory and Applications allowing more topics related to coding theory apart from cryptography. Such conference took place at Mota Castle again and the number of participants was similar to the previous edition. The present edition of the conference, called III International Castle Meeting on Coding Theory and Applications has been held at Cardona Castle in Catalonia (Spain). The number of communications has increased and a number of selected papers will be published in a special issue of the journal Designs, Codes and Cryptography. As in the previous editions, the conference has been of high level with notorious invited speakers and scientic committee members.

Public-Key Cryptography and Computational Number Theory

Proceedings of the International Conference organized by the Stefan Banach International Mathematical Center Warsaw, Poland, September 11-15, 2000

Author: Kazimierz Alster,Jerzy Urbanowicz,Hugh C. Williams

Publisher: Walter de Gruyter

ISBN: 3110881039

Category: Mathematics

Page: 343

View: 3591

The Proceedings contain twenty selected, refereed contributions arising from the International Conference on Public-Key Cryptography and Computational Number Theory held in Warsaw, Poland, on September 11-15, 2000. The conference, attended by eightyfive mathematicians from eleven countries, was organized by the Stefan Banach International Mathematical Center. This volume contains articles from leading experts in the world on cryptography and computational number theory, providing an account of the state of research in a wide variety of topics related to the conference theme. It is dedicated to the memory of the Polish mathematicians Marian Rejewski (1905-1980), Jerzy Róøycki (1909-1942) and Henryk Zygalski (1907-1978), who deciphered the military version of the famous Enigma in December 1932 – January 1933. A noteworthy feature of the volume is a foreword written by Andrew Odlyzko on the progress in cryptography from Enigma time until now.

Coding Theory and Cryptology

Author: Harald Niederreiter

Publisher: World Scientific

ISBN: 9789812384508

Category: Mathematics

Page: 446

View: 2115

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.