Vandermonde sets and super-Vandermonde sets

Autor:	Péter Sziklai, Marcella Takáts
Rok vydání:	2008
Předmět:	Property (philosophy) Algebra and Number Theory Applied Mathematics General Engineering Vandermonde matrix Theoretical Computer Science Combinatorics Set (abstract data type) Power sums Finite field Integer Finite fields Algebraic number Vandermonde Engineering(all) Mathematics
Zdroj:	Finite Fields and Their Applications. 14(4):1056-1067
ISSN:	1071-5797
DOI:	10.1016/j.ffa.2008.06.004
Popis:	Given a set T⊆GF(q), |T|=t, wT is defined as the smallest positive integer k for which ∑y∈Tyk≠0. It can be shown that wT⩽t always and wT⩽t−1 if the characteristic p divides t. T is called a Vandermonde set if wT⩾t−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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::797f9c7c4675b8a5b4a178e3c604abdc Zobrazit plný text záznamu Full Text from ScienceDirect