Polynomial Representations of Symmetric Partial Boolean Functions

For Boolean polynomials in $\mathbb{Z}_p$ of sufficiently low degree we derive a relation expressing their values on one level set in terms of their values on another level set. We use this relation to derive linear upper and lower bounds, tight to within constant factor, on the degrees of various a...

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Bibliographic Details

Published in:	SIAM journal on discrete mathematics Vol. 19; no. 2; pp. 481 - 488
Main Authors:	de Graaf, Mart, Valiant, Paul
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2005
Subjects:	Boolean Codes Polynomials
ISSN:	0895-4801, 1095-7146
Online Access:	Get full text
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