Codes: An Introduction to Information Communication and Cryptography

Author: Norman L. Biggs
Publisher: Springer Science & Business Media
ISBN: 1848002734
Category : Computers
Languages : en
Pages : 274

Book Description
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.

Codes and Cryptography

Author: Dominic Welsh
Publisher: Oxford University Press
ISBN: 9780198532873
Category : Ciphers
Languages : en
Pages : 274

Book Description
This textbook forms an introduction to codes, cryptography and information theory as it has developed since Shannon's original papers.

Introduction to Cryptography

Author: Wade Trappe
Publisher: Pearson
ISBN:
Category : Computers
Languages : en
Pages : 600

Book Description
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.

Making, Breaking Codes

Author: Paul B. Garrett
Publisher: Pearson
ISBN:
Category : Business & Economics
Languages : en
Pages : 552

Book Description
This unique book explains the basic issues of classical and modern cryptography, and provides a self contained essential mathematical background in number theory, abstract algebra, and probability--with surveys of relevant parts of complexity theory and other things. A user-friendly, down-to-earth tone presents concretely motivated introductions to these topics. More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions, transpositions, permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols, quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings, fields, polynomials; cyclotomic polynomials, primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security, system administration, and information systems.

Coding and Cryptography

Author: Natasa Zivic
Publisher: Walter de Gruyter
ISBN: 348678126X
Category : Technology & Engineering
Languages : en
Pages : 134

Book Description
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.

Foundations of Coding

Author: Jiri Adamek
Publisher: John Wiley & Sons
ISBN: 1118031512
Category : Computers
Languages : en
Pages : 352

Book Description
Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.

Introduction to Cryptography with Coding Theory [rental Edition]

Author: Wade Trappe
Publisher: Pearson
ISBN: 9780136731542
Category :
Languages : en
Pages : 640

Book Description
This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed. For courses in Cryptography, Network Security, and Computer Security. A broad spectrum of cryptography topics, covered from a mathematical point of view Extensively revised and updated, the 3rd Edition of Introduction to Cryptography with Coding Theory mixes applied and theoretical aspects to build a solid foundation in cryptography and security. The authors' lively, conversational tone and practical focus inform a broad coverage of topics from a mathematical point of view, and reflect the most recent trends in the rapidly changing field of cryptography. 0136731546 / 9780136731542 INTRODUCTION TO CRYPTOGRAPHY WITH CODING THEORY [RENTAL EDITION], 3/e

Coding Theory and Cryptography

Author: D.C. Hankerson
Publisher: CRC Press
ISBN: 0824704657
Category : Computers
Languages : en
Pages : 370

Book Description
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.

Communications and Cryptography

Author: Richard E. Blahut
Publisher: Springer Science & Business Media
ISBN: 1461526949
Category : Technology & Engineering
Languages : en
Pages : 473

Book Description
Information theory is an exceptional field in many ways. Technically, it is one of the rare fields in which mathematical results and insights have led directly to significant engineering payoffs. Professionally, it is a field that has sustained a remarkable degree of community, collegiality and high standards. James L. Massey, whose work in the field is honored here, embodies the highest standards of the profession in his own career. The book covers the latest work on: block coding, convolutional coding, cryptography, and information theory. The 44 contributions represent a cross-section of the world's leading scholars, scientists and researchers in information theory and communication. The book is rounded off with an index and a bibliography of publications by James Massey.

Cryptography, Information Theory, and Error-Correction

Author: Aiden A. Bruen
Publisher: John Wiley & Sons
ISBN: 1119582407
Category : Computers
Languages : en
Pages : 688

Book Description
CRYPTOGRAPHY, INFORMATION THEORY, AND ERROR-CORRECTION A rich examination of the technologies supporting secure digital information transfers from respected leaders in the field As technology continues to evolve Cryptography, Information Theory, and Error-Correction: A Handbook for the 21ST Century is an indispensable resource for anyone interested in the secure exchange of financial information. Identity theft, cybercrime, and other security issues have taken center stage as information becomes easier to access. Three disciplines offer solutions to these digital challenges: cryptography, information theory, and error-correction, all of which are addressed in this book. This book is geared toward a broad audience. It is an excellent reference for both graduate and undergraduate students of mathematics, computer science, cybersecurity, and engineering. It is also an authoritative overview for professionals working at financial institutions, law firms, and governments who need up-to-date information to make critical decisions. The book’s discussions will be of interest to those involved in blockchains as well as those working in companies developing and applying security for new products, like self-driving cars. With its reader-friendly style and interdisciplinary emphasis this book serves as both an ideal teaching text and a tool for self-learning for IT professionals, statisticians, mathematicians, computer scientists, electrical engineers, and entrepreneurs. Six new chapters cover current topics like Internet of Things security, new identities in information theory, blockchains, cryptocurrency, compression, cloud computing and storage. Increased security and applicable research in elliptic curve cryptography are also featured. The book also: Shares vital, new research in the field of information theory Provides quantum cryptography updates Includes over 350 worked examples and problems for greater understanding of ideas. Cryptography, Information Theory, and Error-Correction guides readers in their understanding of reliable tools that can be used to store or transmit digital information safely.