Cryptography and Computational Number Theory

By K.Y. Lam

Computational Number Theory.- On the Dimension and the Number of Parameters of a Unirational Variety.- On Elements of High Order in Finite Fields.- Counting the Number of Points on Affine Diagonal Curves.- Small Values of the Carmichael Function and Cryptographic Applications.- Density Estimates Related to Gauss Periods.- Distribution of the Coefficients of Primitive Polynomials over Finite Fields.- The Distribution of the Quadratic Symbol in Function Fields and a Faster Mathematical Stream Cipher.- Rational Groups of Elliptic Curves Suitable for Cryptography.- Effective Determination of the Proportion of Split Primes in Number Fields.- Algorithms for Generating, Testing and Proving Primes: A Survey.- Elliptic Curve Factorization Using a "Partially Oblivious" Function.- The Hermite-Serret Algorithm and 122 + 332.- Applications of Algebraic Curves to Constructions of Sequences.- Cryptography.- Designated 2-Verifier Proofs and their Application to Electronic Commerce.- Divide and Conquer Attacks on Certain Irregularly Clocked Stream Ciphers.- New Results on the Randomness of Visual Cryptography Schemes.- Authentication - Myths and Misconceptions.- A Survey of Bit-security and Hard Core Functions.- On the Security of Diffie-Hellman Bits.- Polynomial Rings and Efficient Public Key Authentication II.- Security of Biased Sources for Cryptographic Keys.- Achieving Optimal Fairness from Biased Coinflips.- The Dark Side of the Hidden Number Problem: Lattice Attacks on DSA.- Distribution of Modular Sums and the Security of the Server Aided Exponentiation.- A General Construction for Fail-Stop Signatures using Authentication Codes.- Robust Additive Secret Sharing Schemes over Zm.- RSA Public Key Validation.

• Format: Hardcover
• Language: English
• ISBN: 3764365102
• ISBN13: 9783764365103
• Release Date: March 2001
• Publisher: Birkhauser
• Length: 392 Pages
• Weight: 1.59 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"