We prove a conjecture by Tu, Zeng, Li, and Helleseth concerning trinomials fα,β(x)=x+αxq(q−1)+1+βx2(q−1)+1∈Fq2[x] , αβ≠0, q even, characterizing all the pairs (α,β)∈Fq22 for which fα,β(x) is a permutation of Fq2.
On a conjecture about a class of permutation trinomials
Bartoli, Daniele
2018
Abstract
We prove a conjecture by Tu, Zeng, Li, and Helleseth concerning trinomials fα,β(x)=x+αxq(q−1)+1+βx2(q−1)+1∈Fq2[x] , αβ≠0, q even, characterizing all the pairs (α,β)∈Fq22 for which fα,β(x) is a permutation of Fq2.File in questo prodotto:
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