A class of permutation trinomials over finite fields

Xiang-dong Hou. "A class of permutation trinomials over finite fields." Acta Arithmetica 162.1 (2014): 51-64. <http://eudml.org/doc/286516>.

@article{Xiang2014,
abstract = {Let q > 2 be a prime power and $f = -x + tx^\{q\} + x^\{2q-1\}$, where $t ∈ *_\{q\}$. We prove that f is a permutation polynomial of $_\{q²\}$ if and only if one of the following occurs: (i) q is even and $Tr_\{q/2\}(1/t) = 0$; (ii) q ≡ 1 (mod 8) and t² = -2.},
author = {Xiang-dong Hou},
journal = {Acta Arithmetica},
keywords = {permutation polynomial; finite field; discriminant},
language = {eng},
number = {1},
pages = {51-64},
title = {A class of permutation trinomials over finite fields},
url = {http://eudml.org/doc/286516},
volume = {162},
year = {2014},
}

TY - JOUR
AU - Xiang-dong Hou
TI - A class of permutation trinomials over finite fields
JO - Acta Arithmetica
PY - 2014
VL - 162
IS - 1
SP - 51
EP - 64
AB - Let q > 2 be a prime power and $f = -x + tx^{q} + x^{2q-1}$, where $t ∈ *_{q}$. We prove that f is a permutation polynomial of $_{q²}$ if and only if one of the following occurs: (i) q is even and $Tr_{q/2}(1/t) = 0$; (ii) q ≡ 1 (mod 8) and t² = -2.
LA - eng
KW - permutation polynomial; finite field; discriminant
UR - http://eudml.org/doc/286516
ER -