Planar Polynomials arising from Linearized polynomials

03/05/2019

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by   Daniele Bartoli, et al.

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In this paper we construct planar polynomials of the type f_A,B(x)=x(x^q^2+Ax^q+x)∈F_q^3[x], with A,B ∈F_q. In particular we completely classify the pairs (A,B)∈F_q^2 such that f_A,B(x) is planar using connections with algebraic curves over finite fields.