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| Author | : Harald Niederreiter |
| Publisher | : World Scientific |
| Total Pages | : 460 |
| Release | : 2002-12-03 |
| Genre | : Mathematics |
| ISBN | : 981448766X |
Download Coding Theory And Cryptology Book in PDF, ePub and Kindle
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.
| Author | : Paul B. Garrett |
| Publisher | : Pearson |
| Total Pages | : 552 |
| Release | : 2001 |
| Genre | : Business & Economics |
| ISBN | : |
Download Making, Breaking Codes Book in PDF, ePub and Kindle
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.
| Author | : Massimiliano Sala |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 428 |
| Release | : 2009-05-28 |
| Genre | : Mathematics |
| ISBN | : 3540938060 |
Download Gröbner Bases, Coding, and Cryptography Book in PDF, ePub and Kindle
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.
| Author | : D.C. Hankerson |
| Publisher | : CRC Press |
| Total Pages | : 370 |
| Release | : 2000-08-04 |
| Genre | : Computers |
| ISBN | : 0824704657 |
Download Coding Theory and Cryptography Book in PDF, ePub and Kindle
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.
| Author | : Claude Carlet |
| Publisher | : Cambridge University Press |
| Total Pages | : 577 |
| Release | : 2021-01-07 |
| Genre | : Computers |
| ISBN | : 1108634664 |
Download Boolean Functions for Cryptography and Coding Theory Book in PDF, ePub and Kindle
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.
| Author | : Harald Niederreiter |
| Publisher | : World Scientific |
| Total Pages | : 464 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9789812384508 |
Download Coding Theory and Cryptology Book in PDF, ePub and Kindle
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.
| Author | : Colin Boyd |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 308 |
| Release | : 1995-12 |
| Genre | : Business & Economics |
| ISBN | : 9783540606932 |
Download Cryptography and Coding Book in PDF, ePub and Kindle
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.
| Author | : Wade Trappe |
| Publisher | : Prentice Hall |
| Total Pages | : 577 |
| Release | : 2006 |
| Genre | : Codage |
| ISBN | : 9780131981997 |
Download Introduction to Cryptography Book in PDF, ePub and Kindle
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.
| Author | : David Joyner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 264 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642596630 |
Download Coding Theory and Cryptography Book in PDF, ePub and Kindle
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).
| Author | : Johannes Buchmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 269 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 3642571891 |
Download Coding Theory, Cryptography and Related Areas Book in PDF, ePub and Kindle
A series of research papers on various aspects of coding theory, cryptography, and other areas, including new and unpublished results on the subjects. The book will be useful to students, researchers, professionals, and tutors interested in this area of research.
