Primality Testing And Integer Factorization In Public-key Cryptography, 2nd Ed. (advances In Information Security)

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Intended for advanced level students in computer science and mathematics, this key text, now in a brand new edition, provides a survey of recent progress in primality testing and integer factorization, with implications for factoring based public key cryptography. For this updated and revised edition, notable new features include a comparison of the Rabin-Miller probabilistic test in RP, the Atkin-Morain elliptic curve test in ZPP and the AKS deterministic test.

E-Book Content

Primality Testing and Integer Factorization in Public-Key Cryptography Second Edition Advances in Information Security Sushil Jajodia Consulting Editor Center for Secure Information Systems George Mason University Fairfax, VA 22030-4444 email: [email protected] The goals of the Springer International Series on ADVANCES IN INFORMATION SECURITY are, one, to establish the state of the art of, and set the course for future research in information security and, two, to serve as a central reference source for advanced and timely topics in information security research and development. The scope of this series includes all aspects of computer and network security and related areas such as fault tolerance and software assurance. ADVANCES IN INFORMATION SECURITY aims to publish thorough and cohesive overviews of specific topics in information security, as well as works that are larger in scope or that contain more detailed background information than can be accommodated in shorter survey articles. The series also serves as a forum for topics that may not have reached a level of maturity to warrant a comprehensive textbook treatment. Researchers, as well as developers, are encouraged to contact Professor Sushil Jajodia with ideas for books under this series. Additional titles in the series: INSIDER ATTACK AND CYBER SECURITY: Beyond the Hacker edited by Salvatore Stolfo, Steven M. Bellovin, Angelos D. Keromytis, Sara Sinclaire, Sean W. Smith; ISBN: 978-0-387-77321-6 INTRUSION DETECTION SYSTEMS edited by Robert Di Pietro and Luigi V. Mancini; ISBN: 978-0-387-77265-3 VULNERABILITY ANALYSIS AND DEFENSE FOR THE INTERNET edited by Abhishek Singh; ISBN: 978-0-387-74389-9 BOTNET DETECTION: Countering the Largest Security Threat edited by Wenke Lee, Cliff Wang and David Dagon; ISBN: 978-0-387-68766-7 PRIVACY-RESPECTING INTRUSION DETECTION by Ulrich Flegel; ISBN: 978-0-38768254-9 SYNCHRONIZING INTERNET PROTOCOL SECURITY (SIPSec) by Charles A. Shoniregun; ISBN: 978-0-387-32724-2 SECURE DATA MANAGEMENT IN DECENTRALIZED SYSTEMS edited by Ting Yu and Sushil Jajodia; ISBN: 978-0-387-27694-6 NETWORK SECURITY POLICIES AND PROCEDURES by Douglas W. Frye; ISBN: 0387-30937-3 DATA WAREHOUSING AND DATA MINING TECHNIQUES FOR CYBER SECURITY by Anoop Singhal; ISBN: 978-0-387-26409-7 SECURE LOCALIZATION AND TIME SYNCHRONIZATION FOR WIRELESS SENSOR AND AD HOC NETWORKS edited by Radha Poovendran, Cliff Wang, and Sumit Roy; ISBN: 0-387-32721-5 PRESERVING PRIVACY IN ON-LINE ANALYTICAL PROCESSING (OLAP) by Lingyu Wang, Sushil Jajodia and Duminda Wijesekera; ISBN: 978-0-387-46273-8 SECURITY FOR WIRELESS SENSOR NETWORKS by Donggang Liu and Peng Ning; ISBN: 978-0-387-32723-5 MALWARE DETECTION edited by Somesh Jha, Cliff Wang, Mihai Christodorescu, Dawn Song, and Douglas Maughan; ISBN: 978-0-387-32720-4 Additional information about this series can be obtained from http://www.springer.com Primality Testing and Integer Factorization in Public-Key Cryptography Second Edition by Song Y.Yan Harvard University and Massachusetts Institute of Technology USA 13 Author: Dr. Song Y. Yan Visiting Professor Department of Mathematics Harvard University One Oxford Street Cambridge, MA 02138-2901
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