In this paper, we construct planar polynomials of the type fA,B(x) = x(xq2 + Axq + Bx) ∈ Fq3 [x], with A, B ∈ Fq. In particular, we completely classify the pairs (A, B) ∈ F2q such that fA,B(x) is planar using connections with algebraic curves over finite fields.
Planar polynomials arising from linearized polynomials
Bartoli D.;
2020
Abstract
In this paper, we construct planar polynomials of the type fA,B(x) = x(xq2 + Axq + Bx) ∈ Fq3 [x], with A, B ∈ Fq. In particular, we completely classify the pairs (A, B) ∈ F2q such that fA,B(x) is planar using connections with algebraic curves over finite fields.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
