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The purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. 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, emphasizing estimates of the efficiency of the techniques that arise from the theory. A special feature is the inclusion of recent application of the theory of elliptic curves. Extensive exercises and careful answers have been included in all of the chapters. Because number theory and cryptography are fast-moving fields, this new edition contains substantial revisions and updated references.
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Contenuti
I. Some Topics in Elementary Number Theory.- 1. Time estimates for doing arithmetic.- 2. Divisibility and the Euclidean algorithm.- 3. Congruences.- 4. Some applications to factoring.- II. Finite Fields and Quadratic Residues.- 1. Finite fields.- 2. Quadratic residues and reciprocity.- III. Cryptography.- 1. Some simple cryptosystems.- 2. Enciphering matrices.- IV. Public Key.- 1. The idea of public key cryptography.- 2. RSA.- 3. Discrete log.- 4. Knapsack.- 5 Zero-knowledge protocols and oblivious transfer.- V. Primality and Factoring.- 1. Pseudoprimes.- 2. The rho method.- 3. Fermat factorization and factor bases.- 4. The continued fraction method.- 5. The quadratic sieve method.- VI. Elliptic Curves.- 1. Basic facts.- 2. Elliptic curve cryptosystems.- 3. Elliptic curve primality test.- 4. Elliptic curve factorization.- Answers to Exercises.
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A Course in Number Theory and Cryptography (Graduate Texts in Mathematics)
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A course in number theory and cryptography.
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8vo. x, 208 pp. Index. Blind-embossed stamped on title of Joseph W. Ouellette. Very good. ISBN 10: 0387942939 ISBN 13: 9780387942933 "Neal I. Koblitz is a Professor of Mathematics at the University of Washington. He is also an adjunct professor with the Centre for Applied Cryptographic Research at the University of Waterloo. He is the creator of hyperelliptic curve cryptography and the independent co-creator of elliptic curve cryptography.". Codice articolo S13759
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A Course in Number Theory and Cryptography
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A Course in Number Theory and Cryptography (Graduate Texts in Mathematics)
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A COURSE IN NUMBER THEORY AND CRYPTOGRAPHY. 2ª ed.
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A Course in Number Theory and Cryptography - 2nd Edition
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Condizione: Good. Original boards, illustrated with numerous equations, graphs and diagrams, 8vo. Graduate Texts in Mathematics, 114. Codice articolo 352872-ZC7
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A Course in Number Theory and Cryptography: 114 (Graduate Texts in Mathematics, 114)
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A Course in Number Theory and Cryptography (Graduate Texts in Mathematics, 114)
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 theo. Codice articolo 5911954
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A Course in Number Theory and Cryptography
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 248 pp. Englisch. Codice articolo 9780387942933
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