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

Primality Testing and Integer Factorization in Public-Key Cryptography

By: Song Y. Yan

eText | 3 April 2009 | Edition Number 2

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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.
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Non-FictionComputing & I.T.Computer ScienceComputer SecurityData EncryptionGraphical & Digital Media Applications3D Graphics & ModellingComputer HardwareNetwork HardwareLanguage & LinguisticsSciencePhysics
MathematicsNumber TheoryDatabasesData Capture & AnalysisApplied Mathematics

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Published: 29th November 2010

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