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» On value sets of polynomials over a field
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ALENEX
2003
139views Algorithms» more  ALENEX 2003»
13 years 9 months ago
Interpolation over Light Fields with Applications in Computer Graphics
We present a data structure, called a ray interpolant tree, or RI-tree, which stores a discrete set of directed lines in 3-space, each represented as a point in 4-space. Each dire...
F. Betul Atalay, David M. Mount
SIGECOM
2003
ACM
122views ECommerce» more  SIGECOM 2003»
14 years 23 days ago
On polynomial-time preference elicitation with value queries
Preference elicitation — the process of asking queries to determine parties’ preferences — is a key part of many problems in electronic commerce. For example, a shopping age...
Martin Zinkevich, Avrim Blum, Tuomas Sandholm
CC
2010
Springer
112views System Software» more  CC 2010»
13 years 2 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
HPCS
2009
IEEE
13 years 11 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
PKC
2000
Springer
118views Cryptology» more  PKC 2000»
13 years 11 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