codes and cryptography

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Codes And Cryptography

Author : D. J. A. Welsh
ISBN : 0198532873
Genre : Ciphers.
File Size : 35. 17 MB
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'This textbook unifies the concepts of information, codes and cryptography. The fundamental ideas of communication theory including the Shannon model of cryptography, are introduced. The author then goes on to consider modern cryptography, password systems and authentication techniques. 'This authoritative book has a well structured approach. ...essential reading for the engineer concerned with safe-guarding as well as communicating information.' IEE Review

Codes And Cryptography

Author : D. J. A. Welsh
ISBN : 0198532881
Genre : Computers
File Size : 51. 33 MB
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This text unifies the concepts of information, codes and cryptography as first studied by Shannon in his seminal papers on communication and secrecy systems. The first five chapters cover the fundamental ideas of information theory, compact encoding of messages and 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 cryptographic methods and the recent advances in public key 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 variety of interests and backgrounds, the mathematical prerequisites have been kept to an absolute minimum. Problems and solutions are included.

Codes And Ciphers A History Of Cryptography

Author : Alexander D'Agapeyeff
ISBN : 9781473350915
Genre : Computers
File Size : 81. 55 MB
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This vintage book contains Alexander D?Agapeyeff?s famous 1939 work, ?Codes and Ciphers - A History of Cryptography?. Cryptography is the employment of codes and ciphers to protect secrets, and it has a long and interesting history. This fantastic volume offers a detailed history of cryptography from ancient times to modernity, written by the Russian-born English cryptographer, Alexander D'Agapeyeff. Contents include: ?The beginnings of Cryptography?, ?From the Middle Ages Onwards?, ?Signals, Signs, and Secret Languages?, ?Commercial Codes?, ?Military Codes and Ciphers?, ?Types of Codes and Ciphers?, ?Methods of Deciphering?, etcetera. Many antiquarian texts such as this, especially those dating back to the 1900s and before, are increasingly hard to come by and expensive, and it is with this in mind that we are republishing this book now in an affordable, modern, high quality edition. It comes complete with a specially commissioned new biography of the author.

Codes An Introduction To Information Communication And Cryptography

Author : Norman L. Biggs
ISBN : 1848002734
Genre : Computers
File Size : 28. 14 MB
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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.

Geometries Codes And Cryptography

Author : G. Longo
ISBN : 9783709128381
Genre : Computers
File Size : 46. 64 MB
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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.

The Code Book

Author : Simon Singh
ISBN : 9780385730624
Genre : Juvenile Nonfiction
File Size : 63. 70 MB
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Provides a review of cryptography, its evolution over time, and its purpose throughout history from the era of Julius Caesar to the modern day.

Designs Codes And Cryptography

Author :
ISBN : UOM:39015064350955
Genre : Coding theory
File Size : 87. 8 MB
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Algebraic Geometry In Coding Theory And Cryptography

Author : Harald Niederreiter
ISBN : 140083130X
Genre : Mathematics
File Size : 64. 72 MB
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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

Progress On Cryptography

Author : Kefei Chen
ISBN : 9781402079870
Genre : Computers
File Size : 65. 73 MB
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Cryptography in Chinese consists of two characters meaning "secret coded". Thanks to Ch'in Chiu-Shao and his successors, the Chinese Remainder Theorem became a cornerstone of public key cryptography. Today, as we observe the constant usage of high-speed computers interconnected via the Internet, we realize that cryptography and its related applications have developed far beyond "secret coding". China, which is rapidly developing in all areas of technology, is also writing a new page of history in cryptography. As more and more Chinese become recognized as leading researchers in a variety of topics in cryptography, it is not surprising that many of them are Professor Xiao's former students. Progress on Cryptography: 25 Years of Cryptography in China is a compilation of papers presented at an international workshop in conjunction with the ChinaCrypt, 2004. After 20 years, the research interests of the group have extended to a variety of areas in cryptography. This edited volume includes 32 contributed chapters. The material will cover a range of topics, from mathematical results of cryptography to practical applications. This book also includes a sample of research, conducted by Professor Xiao's former and current students. Progress on Cryptography: 25 Years of Cryptography in China is designed for a professional audience, composed of researchers and practitioners in industry. This book is also suitable as a secondary text for graduate-level students in computer science, mathematics and engineering.

Error Correcting Codes Finite Geometries And Cryptography

Author : Aiden A. Bruen
ISBN : 9780821849569
Genre : Mathematics
File Size : 54. 97 MB
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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.

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