Quasi-permutation polynomials

Laohakosol, Vichian, and Janphaisaeng, Suphawan. "Quasi-permutation polynomials." Czechoslovak Mathematical Journal 60.2 (2010): 457-488. <http://eudml.org/doc/38020>.

@article{Laohakosol2010,
abstract = {A quasi-permutation polynomial is a polynomial which is a bijection from one subset of a finite field onto another with the same number of elements. This is a natural generalization of the familiar permutation polynomials. Basic properties of quasi-permutation polynomials are derived. General criteria for a quasi-permutation polynomial extending the well-known Hermite's criterion for permutation polynomials as well as a number of other criteria depending on the permuted domain and range are established. Different types of quasi-permutation polynomials and the problem of counting quasi-permutation polynomials of fixed degree are investigated.},
author = {Laohakosol, Vichian, Janphaisaeng, Suphawan},
journal = {Czechoslovak Mathematical Journal},
keywords = {finite fields; permutation polynomials; finite field; permutation polynomial},
language = {eng},
number = {2},
pages = {457-488},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Quasi-permutation polynomials},
url = {http://eudml.org/doc/38020},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Laohakosol, Vichian
AU - Janphaisaeng, Suphawan
TI - Quasi-permutation polynomials
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 2
SP - 457
EP - 488
AB - A quasi-permutation polynomial is a polynomial which is a bijection from one subset of a finite field onto another with the same number of elements. This is a natural generalization of the familiar permutation polynomials. Basic properties of quasi-permutation polynomials are derived. General criteria for a quasi-permutation polynomial extending the well-known Hermite's criterion for permutation polynomials as well as a number of other criteria depending on the permuted domain and range are established. Different types of quasi-permutation polynomials and the problem of counting quasi-permutation polynomials of fixed degree are investigated.
LA - eng
KW - finite fields; permutation polynomials; finite field; permutation polynomial
UR - http://eudml.org/doc/38020
ER -