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» On value sets of polynomials over a field
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ALENEX
2003
139views Algorithms» more  ALENEX 2003»
15 years 7 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»
15 years 11 months 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»
15 years 15 days 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
15 years 10 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»
15 years 9 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