Yan Primality Testing and Integer Factorization in Public-Key Cryptography

2. Auflage 2009
ISBN: 978-0-387-77268-4
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 11, 371 Seiten, eBook

Reihe: Advances in Information Security

The Primality Testing Problem (PTP) has now proved to be solvable in deterministic polynomial-time (P) by the AKS (Agrawal-Kayal-Saxena) algorithm, whereas the Integer Factorization Problem (IFP) still remains unsolvable in (P). There is still no polynomial-time algorithm for IFP. Many practical public-key cryptosystems and protocols such as RSA (Rivest-Shamir-Adleman) rely their security on computational intractability of IFP.Primality Testing and Integer Factorization in Public Key Cryptography, Second Edition, provides a survey of recent progress in primality testing and integer factorization, with implications to factoring based public key cryptography. Notable new features are the comparison of Rabin-Miller probabilistic test in RP, Atkin-Morain elliptic curve test in ZPP and AKS deterministic test.This volume is designed for advanced level students in computer science and mathematics, and as a secondary text or reference book; suitable for practitioners and researchers in industry.

Zielgruppe

Research

Autoren/Hrsg.

Yan, Song Y.

Inhaltsverzeichnis

Number-Theoretic Preliminaries.- Primality Testing and Prime Generation.- Integer Factorization and Discrete Logarithms.- Number-Theoretic Cryptography.