On a conjecture about a class of permutation trinomials [article]

Daniele Bartoli
2017 arXiv   pre-print
We prove a conjecture by Tu, Zeng, Li, and Helleseth concerning trinomials f_α,β(x)= x + α x^q(q-1)+1 + β x^2(q-1)+1∈F_q^2[x], αβ≠ 0, q even, characterizing all the pairs (α,β)∈F_q^2^2 for which f_α,β(x) is a permutation of F_q^2.
arXiv:1712.10017v1 fatcat:wirwq6rzqrfejelk5avfsyxen4