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PKC
2011
Springer
197views Cryptology» more  PKC 2011»
14 years 1 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 ...
86
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CADE
2007
Springer
15 years 10 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
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
15 years 10 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
FOCS
2009
IEEE
15 years 5 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
ISSAC
2009
Springer
121views Mathematics» more  ISSAC 2009»
15 years 4 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...