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- W3209745082 abstract "We consider relationships between Vandermonde sets and hyperovals. Hyperovals are Vandermonde sets, but, in general, Vandermonde sets are not hyperovals. We give necessary and sufficient conditions for a Vandermonde set to be a hyperoval. Therefore, we provide purely algebraic criteria for existence of hyperovals. Furthermore, we give necessary and sufficient conditions for the existence of hyperovals in terms of $g$-functions, which can be considered as an analog of Glynn's Theorem for o-polynomials." @default.
- W3209745082 created "2021-11-08" @default.
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- W3209745082 date "2021-01-01" @default.
- W3209745082 modified "2023-10-09" @default.
- W3209745082 title "Vandermonde sets, hyperovals and Niho bent functions" @default.
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- W3209745082 doi "https://doi.org/10.3934/amc.2021048" @default.
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