Primality Testing and Integer Factorization in PublicKey Cryptography (Advances in Information Security, 11),Used

Primality Testing and Integer Factorization in PublicKey Cryptography (Advances in Information Security, 11),Used

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The Primality Testing Problem (PTP) has now proved to be solvable in deterministic polynomialtime (P) by the AKS (AgrawalKayalSaxena) algorithm, whereas the Integer Factorization Problem (IFP) still remains unsolvable in (P). There is still no polynomialtime algorithm for IFP. Many practical publickey cryptosystems and protocols such as RSA (RivestShamirAdleman) 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 RabinMiller probabilistic test in RP, AtkinMorain 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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