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Song Y. Yan, "Primality Testing and Integer Factorization in Public-Key Cryptography"

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.

First edition was very positively reviewed by Prof Samuel Wagstaff at Purdue University in AMS Mathematical Reviews (See MR2028480 2004j:11148), and by Professor J.T. Ayuso of University of Simon Bolivar in the European Mathematical Society’s review journal Zentralblatt für Mathematik

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	Science/Engineering RSA and Public-Key Cryptography Richard A. Mollin “RSA and Public-Key Cryptography" Chapman & Hall/CRC \| 2002-11-12 \| ISBN: 1584883383 \| 304 pages \| PDF \| 3,4 Mb
	Science/Engineering Primality Testing in Polynomial Time Primality Testing in Polynomial TimePublisher: Springer \| Pages: 147 \| 2004-08-17 \| ISBN 3540403442 \| DJVU \| 2 MBThis book is devoted to algorithms for the venerable primality problem: Given a natural number n, decide whether it is prime o ...
	Study Public Key Cryptography Public Key CryptographySpringer \| ISBN: 3540669671 \| 2000-02-03 \| PDF \| 485 pages \| 4 Mb This book constitutes the refereed proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography, PKC 2000, held in ...
	Security/Hacking Public-Key Cryptography Arto Salomaa, "Public-Key Cryptography (Texts in Theoretical Computer Science. An EATCS Series)" Springer \| 1996 \| ISBN: 3540613560 \| 271 pages \| PDF \| 11,8 MB Cryptography, secret writing, is enjoying a scientific renaissance following ...
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	Technical Factorization and Primality Testing (Undergraduate Texts in Mathematics) David M. Bressoud "Factorization and Primality Testing (Undergraduate Texts in Mathematics)"Springer \| English \| 1989-10-02 \| ISBN: 0387970401 \| 260 pages \| DJVU \| 1,4 MBThis book focuses on a single problem: how to factor a large integer o ...

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