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EUROCRYPT
1999
Springer
13 years 10 months ago
Proving in Zero-Knowledge that a Number Is the Product of Two Safe Primes
Abstract. We present the first efficient statistical zero-knowledge protocols to prove statements such as: – A committed number is a prime. – A committed (or revealed) number ...
Jan Camenisch, Markus Michels
CASC
2007
Springer
108views Mathematics» more  CASC 2007»
13 years 12 months ago
Comprehensive Triangular Decomposition
We introduce the concept of comprehensive triangular decomposition (CTD) for a parametric polynomial system F with coefficients in a field. In broad words, this is a finite part...
Changbo Chen, Oleg Golubitsky, François Lem...
ASIACRYPT
2008
Springer
13 years 7 months ago
Solving Linear Equations Modulo Divisors: On Factoring Given Any Bits
We study the problem of finding solutions to linear equations modulo an unknown divisor p of a known composite integer N. An important application of this problem is factorization ...
Mathias Herrmann, Alexander May
EUROCRYPT
2005
Springer
13 years 11 months ago
A Tool Kit for Finding Small Roots of Bivariate Polynomials over the Integers
We present a new and flexible formulation of Coppersmith’s method for finding small solutions of bivariate polynomials p(x, y) over the integers. Our approach allows to maximiz...
Johannes Blömer, Alexander May
EUROCRYPT
2006
Springer
13 years 9 months ago
VSH, an Efficient and Provable Collision-Resistant Hash Function
Abstract. We introduce VSH, very smooth hash, a new S-bit hash function that is provably collision-resistant assuming the hardness of finding nontrivial modular square roots of ver...
Scott Contini, Arjen K. Lenstra, Ron Steinfeld