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CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
15 years 6 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach
Coppersmith described at Eurocrypt 96 an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later pro...
Jean-Sébastien Coron
STACS
2005
Springer
15 years 5 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
RTA
2010
Springer
15 years 3 months ago
Polynomially Bounded Matrix Interpretations
Matrix interpretations can be used to bound the derivational complexity of rewrite systems. We present a criterion that completely characterizes matrix interpretations that are pol...
Johannes Waldmann
ANTS
2008
Springer
110views Algorithms» more  ANTS 2008»
15 years 1 months ago
Computing Hilbert Class Polynomials
We present and analyze two algorithms for computing the Hilbert class polynomial HD. The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < ...
Juliana Belding, Reinier Bröker, Andreas Enge...
CORR
2007
Springer
105views Education» more  CORR 2007»
14 years 11 months ago
Finding low-weight polynomial multiples using discrete logarithm
— Finding low-weight multiples of a binary polynomial is a difficult problem arising in the context of stream ciphers cryptanalysis. The best algorithms to solve this problem ar...
Frédéric Didier, Yann Laigle-Chapuy