Primality Testing and Integer Factorization in Public-Key Cryptography (Advances in Information Security)

Yan, Song Y.

ISBN 10: 1402076495 / ISBN 13: 9781402076497

Published by Springer, 2003

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Bibliographic Details

• Title: Primality Testing and Integer Factorization in Public-Key Cryptography (Advances in Information Security)
• Publisher: Springer
• Publication Date: 2003
• Language: English
• ISBN 10: 1402076495
• ISBN 13: 9781402076497
• Binding: Hardcover
• Condition: New

About this title

Synopsis

"Primality Testing and Integer Factorization in Public-Key Cryptography" introduces various algorithms for primality testing and integer factorization, with their applications in public-key cryptography and information security. More specifically, this book explores basic concepts and results in number theory in Chapter 1. Chapter 2 discusses various algorithms for primality testing and prime number generation, with an emphasis on the Miller-Rabin probabilistic test, the Goldwasser-Kilian and Atkin-Morain elliptic curve tests, and the Agrawal-Kayal-Saxena deterministic test for primality. Chapter 3 introduces various algorithms, particularly the Elliptic Curve Method (ECM), the Quadratic Sieve (QS) and the Number Field Sieve (NFS) for integer factorization. This chapter also discusses some other computational problems that are related to factoring, such as the square root problem, the discrete logarithm problem and the quadratic residuosity problem.

About the Author

Song Yan is currently with the School of Mathematical and Information Sciences at Coventry University England.