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Books > Computing & IT > Applications of computing > Databases > Data security & data encryption
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Primality Testing and Integer Factorization in Public-Key Cryptography (Hardcover, 2nd ed. 2009)
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Primality Testing and Integer Factorization in Public-Key Cryptography (Hardcover, 2nd ed. 2009)
Series: Advances in Information Security, 11
Expected to ship within 12 - 17 working days
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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 Societya (TM)s review journal
Zentralblatt fA1/4r Mathematik (see Zbl 1048.11103).
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