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ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 6 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
JCAM
2010
82views more  JCAM 2010»
13 years 2 months ago
Menke points on the real line and their connection to classical orthogonal polynomials
Abstract. We investigate the properties of extremal point systems on the real line consisting of two interlaced sets of points solving a modified minimum energy problem. We show th...
P. Mathur, J. S. Brauchart, Edward B. Saff
COCO
2011
Springer
217views Algorithms» more  COCO 2011»
12 years 7 months ago
Noisy Interpolation of Sparse Polynomials, and Applications
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Shubhangi Saraf, Sergey Yekhanin
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
13 years 11 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
TCC
2009
Springer
123views Cryptology» more  TCC 2009»
14 years 8 months ago
Hierarchical Identity Based Encryption with Polynomially Many Levels
We present the first hierarchical identity based encryption (HIBE) system that has full security for more than a constant number of levels. In all prior HIBE systems in the literat...
Craig Gentry, Shai Halevi