Planar Monomials in Characteristic 2
نویسنده
چکیده
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 F2r are planar, which proves a conjecture of Schmidt and Zhou. The key to our proof is a new result about the Fq3 -rational points on the curve xq−1 + yq−1 = zq−1.
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