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STOC
2002
ACM
126views Algorithms» more  STOC 2002»
15 years 10 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren
EUROCRYPT
2012
Springer
13 years 9 days ago
Public Key Compression and Modulus Switching for Fully Homomorphic Encryption over the Integers
We describe a compression technique that reduces the public key size of van Dijk, Gentry, Halevi and Vaikuntanathan’s (DGHV) fully homomorphic scheme over the integers from ËœO(Î...
Jean-Sébastien Coron, David Naccache, Mehdi...
MP
2011
14 years 4 months ago
An FPTAS for minimizing the product of two non-negative linear cost functions
We consider a quadratic programming (QP) problem (Π) of the form min xT Cx subject to Ax ≥ b where C ∈ Rn×n + , rank(C) = 1 and A ∈ Rm×n , b ∈ Rm . We present an FPTAS ...
Vineet Goyal, Latife Genç Kaya, R. Ravi
DM
2008
98views more  DM 2008»
14 years 10 months ago
Constructing equidissections for certain classes of trapezoids
We investigate equidissections of a trapezoid T(a), where the ratio of the lengths of two parallel sides is a. (An equidissection is a dissection into triangles of equal areas.) A...
Charles H. Jepsen, Paul Monsky
CVPR
2004
IEEE
15 years 12 months ago
Approximation of Canonical Sets and Their Applications to 2D View Simplification
Given a set of patterns and a similarity measure between them, we will present an optimization framework to approximate a small subset, known as a canonical set, whose members clo...
Trip Denton, Jeff Abrahamson, Ali Shokoufandeh