Vandermonde sets and super-Vandermonde sets |
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Authors: | Peter Sziklai Marcella Takts |
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Institution: | aDepartment of Computer Science, Eötvös University, Budapest, Pázmány P. s. 1/c, Budapest, H-1117, Hungary |
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Abstract: | Given a set TGF(q), |T|=t, wT is defined as the smallest positive integer k for which ∑yTyk≠0. It can be shown that wTt always and wTt−1 if the characteristic p divides t. T is called a Vandermonde set if wTt−1 and a super-Vandermonde set if wT=t. This (extremal) algebraic property is interesting for its own right, but the original motivation comes from finite geometries. In this paper we classify small and large super-Vandermonde sets. |
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Keywords: | Finite fields Power sums Vandermonde |
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