Overview
- New section on quantum factoring and post-quantum cryptography
- Exercises and research problems grouped into new section after each chapter; thus more suitable as advanced graduate text
Part of the book series: Advances in Information Security (ADIS, volume 11)
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About this book
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.
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Keywords
Table of contents (4 chapters)
Reviews
From the reviews of the second edition:
"The well-written and self-contained second edition ‘is designed for a professional audience composed of researchers practitioners in industry.’ In addition, ‘this book is also suitable as a secondary text for graduate-level students in computer science, mathematics, and engineering,’ as it contains about 300 problems. … Overall … ‘this monograph provides a survey of recent progress in Primality Testing and Integer Factorization, with implications in factoring-based Public Key Cryptography.’" (Hao Wang, ACM Computing Reviews, April, 2009)
“This is the second edition of a book originally published in 2004. … I used it as a reference in preparing lectures for an advanced cryptography course for undergraduates, and it proved to be a wonderful source for a general description of the algorithms. … the book will be a valuable addition to any good reference library on cryptography and number theory … . It contains descriptions of all the main algorithms, together with explanations of the key ideas behind them.” (S. C. Coutinho, SIGACT News, April, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Primality Testing and Integer Factorization in Public-Key Cryptography
Authors: Song Y. Yan
Series Title: Advances in Information Security
DOI: https://doi.org/10.1007/978-0-387-77268-4
Publisher: Springer New York, NY
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag US 2009
Hardcover ISBN: 978-0-387-77267-7Published: 02 December 2008
Softcover ISBN: 978-1-4419-4586-0Published: 29 November 2010
eBook ISBN: 978-0-387-77268-4Published: 03 April 2009
Series ISSN: 1568-2633
Series E-ISSN: 2512-2193
Edition Number: 2
Number of Pages: XVIII, 371
Number of Illustrations: 40 b/w illustrations
Topics: Cryptology, Number Theory, Mathematics of Computing, Data Structures and Information Theory, Systems and Data Security, Coding and Information Theory