Title
Variety Evasive Sets
Abstract
We give an explicit construction of a large subset $${S \\subset \\mathbb{F}^n}$$ S ¿ F n , where $${\\mathbb{F}}$$ F is a finite field, that has small intersection with any affine variety of fixed dimension and bounded degree. Our construction generalizes a recent result of Dvir and Lovett (STOC 2012) who considered varieties of degree one (that is, affine subspaces).
Year
DOI
Venue
2012
10.1007/s00037-013-0073-9
Computational Complexity
Keywords
DocType
Volume
68w20,de-randomization,explicit constructions,finite fields,Explicit constructions,68W20
Journal
23
Issue
ISSN
Citations 
4
1016-3328
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Zeev Dvir143730.85
János Kollár2535.41
Shachar Lovett352055.02