Yan Primality Testing and Integer Factorization in Public-Key Cryptography

Erscheinungsjahr 2013
ISBN: 978-1-4757-3816-2
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 11, 237 Seiten, eBook

Reihe: Advances in Information Security

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.

Zielgruppe

Research

Autoren/Hrsg.

Yan, Song Y.

Inhaltsverzeichnis

1. Number-Theoretic Preliminaries.- 2. Primality Testing and Prime Generation.- 3. Integer Factorization and Discrete Logarithms.- 4. Number-Theoretic Cryptography.