Polytope bounds on multivariate value sets |
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| Affiliation: | 340 Rowland Hall (Bldg. # 400), University of California, Irvine, Irvine, CA 92697-3875, United States |
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| Abstract: | We improve 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. |
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| Keywords: | Value set Polynomial image set Multivariate polynomials Newton polytopes |
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