A note on planar functions of degree p 2

Nobuo Nakagawa, Naomi Watanabe, Mariko Hagita · AKCE International Journal of Graphs and Combinatorics · 2008

We determined planar functions which are power functions on the additive group GF(p 2 ) where p is an odd prime. This result asserts that a planar power function on the additive group GF(p 2n ) shoud be of the form f(x) = x t(p 2 1)+2pi for a suitable non-negative integer t and i 2 {0,1}.

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