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Primality Testing and Integer Factorization in Public-Key Cryptography (Advances in...
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Click here to buy Primality Testing and Integer Factorization in Public-Key Cryptography (Advances in... by  Song Y. Yan. Primality Testing and Integer Factorization in Public-Key Cryptography (Advances in...
by Song Y. Yan
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Product Description


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 Societys review journal Zentralblatt für Mathematik (see Zbl 1048.11103).

Book Info
Text introduces various algorithms for primality testing and integer factorization, with their applications in public-key cryptography and information security. For researchers and practitioners in industry; and graduate students in computer science, mathematics, and engineering. --This text refers to the Hardcover edition.
Primality Testing and Integer Factorization in Public-Key Cryptography (Advances in...
List Price: $119.00
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Price: $105.35
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