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CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
16 years 9 days 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 11 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 10 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 8 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»
15 years 6 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