Polytope Bounds on Multivariate Value Sets
Number Theory
2014-05-06 v2
Abstract
We improve upon the upper bounds for the cardinality of the value set of a multivariable polynomial map over a finite field using the polytope of the polynomial. This generalizes earlier bounds only dependent on the degree of a polynomial.
Cite
@article{arxiv.1310.2958,
title = {Polytope Bounds on Multivariate Value Sets},
author = {Luke Smith},
journal= {arXiv preprint arXiv:1310.2958},
year = {2014}
}
Comments
10 pages, 1 figure, preprint of a paper accepted for publication in Elsevier's Finite Fields and Their Applications