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173
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PKC
2011
Springer
197views Cryptology» more  PKC 2011»
14 years 6 months ago
Cryptanalysis of Multivariate and Odd-Characteristic HFE Variants
We investigate the security of a generalization of HFE (multivariate and odd-characteristic variants). First, we propose an improved version of the basic Kipnis-Shamir key recovery...
Luk Bettale, Jean-Charles Faugère, Ludovic ...
128
Voted
CADE
2007
Springer
16 years 3 months ago
A Sequent Calculus for Integer Arithmetic with Counterexample Generation
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedur...
Philipp Rümmer
132
Voted
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
16 years 3 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
119
Voted
FOCS
2009
IEEE
15 years 10 months ago
Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities
We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility fun...
Xi Chen, Decheng Dai, Ye Du, Shang-Hua Teng
114
Voted
ISSAC
2009
Springer
121views Mathematics» more  ISSAC 2009»
15 years 10 months ago
Faster real feasibility via circuit discriminants
We show that detecting real roots for honestly n-variate (n + 2)-nomials (with integer exponents and coefficients) can be done in time polynomial in the sparse encoding for any ï¬...
Frédéric Bihan, J. Maurice Rojas, Ca...