Algorithmic Number Theory: 6th International Symposium ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings:

Algorithmic Number Theory: 6th International Symposium ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings

Product Description

This book constitutes the refereed proceedings of the 6th International Algorithmic Number Theory Symposium, ANTS 2004, held in Burlington, VT, USA, in June 2004.

The 30 revised full papers presented together with 3 invited papers were carefully reviewed and selected for inclusion in the book. Among the topics addressed are zeta functions, elliptic curves, hyperelliptic curves, GCD algorithms, number field computations, complexity, primality testing, Weil and Tate pairings, cryptographic algorithms, function field sieve, algebraic function field mapping, quartic fields, cubic number fields, lattices, discrete logarithms, and public key cryptosystems.

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Algorithmic Cryptanalysis:

Algorithmic Cryptanalysis

Product Description

Focusing on both private- and public-key cryptographic algorithms, this book describes algorithmic methods with cryptographically relevant examples. After introducing modern cryptography and elementary number theory and algebra, it covers linear algebra, sieving, brute force, algorithms based on the birthday paradox, Hadamard–Fourier–Walsh transforms, lattice reduction, and Gröbner bases. The author also presents advanced applications, such as LFSR-based stream ciphers, lattice methods for cryptanalysis, elliptic curves, and index calculus methods. He includes some hints and solutions to the exercises as well as C code on

About the Author

Antoine Joux is associate professor at Université de Versailles Saint-Quentin-en-Yvelines.

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