Course in Number Theory and Cryptography
Edition: 2nd 1994 (Revised)
List price: $64.95
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Description: 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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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $64.95
Copyright year: 1994
Publication date: 9/2/1994
Size: 6.25" wide x 9.50" long x 0.75" tall
|Preface to the Second Edition|
|Some Topics in Elementary Number Theory|
|Time estimates for doing arithmetic|
|Divisibility and the Euclidean algorithm|
|Some applications to factoring|
|Finite Fields and Quadratic Residues|
|Quadratic residues and reciprocity|
|Some simple cryptosystems|
|The idea of public key cryptography|
|Zero-knowledge protocols and oblivious transfer|
|Primality and Factoring|
|The rho method|
|Fermat factorization and factor bases|
|The continued fraction method|
|The quadratic sieve method|
|Elliptic curve cryptosystems|
|Elliptic curve primality test|
|Elliptic curve factorization|
|Answers to Exercises|