# A class of permutation trinomials over finite fields

Acta Arithmetica (2014)

- Volume: 162, Issue: 1, page 51-64
- ISSN: 0065-1036

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topXiang-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 -

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