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» Noisy interpolation of sparse polynomials in finite fields
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PKC
2000
Springer
118views Cryptology» more  PKC 2000»
13 years 10 months ago
An Identification Scheme Based on Sparse Polynomials
This paper gives a new example of exploiting the idea of using polynomials with restricted coefficients over finite fields and rings to construct reliable cryptosystems and identif...
William D. Banks, Daniel Lieman, Igor Shparlinski
ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 4 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
ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
14 years 15 days ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
DCC
2010
IEEE
13 years 1 months ago
Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Nathan Drake, Gretchen L. Matthews
TSP
2008
103views more  TSP 2008»
13 years 6 months ago
Low-Rank Variance Approximation in GMRF Models: Single and Multiscale Approaches
Abstract--We present a versatile framework for tractable computation of approximate variances in large-scale Gaussian Markov random field estimation problems. In addition to its ef...
Dmitry M. Malioutov, Jason K. Johnson, Myung Jin C...