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- W2953704311 abstract "Planar functions over finite fields give rise to finite projective planes and other combinatorial objects. They were originally defined only in odd characteristic, but recently Zhou introduced a definition in even characteristic which yields similar applications. In this paper we show that certain functions over $mathbb{F}_{2^r}$ are planar, which proves a conjecture of Schmidt and Zhou. The key to our proof is a new result about the $mathbb{F}_{q^3}$-rational points on the degree-$(q-1)$ Fermat curve $x^{q-1}+y^{q-1}=z^{q-1}$." @default.
- W2953704311 created "2019-07-12" @default.
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- W2953704311 date "2013-02-06" @default.
- W2953704311 modified "2023-09-26" @default.
- W2953704311 title "Planar monomials in characteristic 2" @default.
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