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ESA
1999
Springer
110views Algorithms» more  ESA 1999»
13 years 11 months ago
Geometric Searching over the Rationals
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...
Bernard Chazelle
ASIACRYPT
2009
Springer
14 years 2 months ago
Security Bounds for the Design of Code-Based Cryptosystems
Code-based cryptography is often viewed as an interesting “Post-Quantum” alternative to the classical number theory cryptography. Unlike many other such alternatives, it has th...
Matthieu Finiasz, Nicolas Sendrier
DCC
2006
IEEE
14 years 7 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier
JC
2007
94views more  JC 2007»
13 years 7 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
CORR
2002
Springer
101views Education» more  CORR 2002»
13 years 7 months ago
Quantum Circuits with Unbounded Fan-out
We demonstrate that the unbounded fan-out gate is very powerful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denot...
Peter Høyer, Robert Spalek