Let p>3 and consider a prime power q=ph. We completely characterize permutation polynomials of Fqjavax.xml.bind.JAXBElement@26b5e0b6 of the type fa,b(X)=X(1+aXq(q−1)+bX2(q−1))∈Fqjavax.xml.bind.JAXBElement@1bc6c375[X]. In particular, using connections with algebraic curves over finite fields, we show that the already known sufficient conditions are also necessary.
A family of permutation trinomials over Fqjavax.xml.bind.JAXBElement@4b76dab0
Bartoli D.;Timpanella M.
2021
Abstract
Let p>3 and consider a prime power q=ph. We completely characterize permutation polynomials of Fqjavax.xml.bind.JAXBElement@26b5e0b6 of the type fa,b(X)=X(1+aXq(q−1)+bX2(q−1))∈Fqjavax.xml.bind.JAXBElement@1bc6c375[X]. In particular, using connections with algebraic curves over finite fields, we show that the already known sufficient conditions are also necessary.File in questo prodotto:
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