Optimal Testing of Multivariate Polynomials over Small Prime Fields

We consider the problem of testing whether a given function $f : {\mathbb F}_q^n \rightarrow {\mathbb F}_q$ is close to an $n$-variate degree $d$ polynomial over the finite field ${\mathbb F}_q$ of $q$ elements. The natural, low-query test for this property would be to first pick the smallest dimens...

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Bibliographic Details

Published in:	SIAM journal on computing Vol. 42; no. 2; pp. 536 - 562
Main Authors:	Haramaty, Elad, Shpilka, Amir, Sudan, Madhu
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
Subjects:	Algebra Computer science Foundations Hyperplanes Lower bounds Mathematical analysis Mathematical models Optimization Polynomials Queries Subspaces
ISSN:	0097-5397, 1095-7111
Online Access:	Get full text
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