Anbar Meidl, Nurdagül
(2019)
*Curves over finite fields and permutations of the form x(k) - gamma Tr(x).*
Turkish Journal of Mathematics, 43
(1).
pp. 533-538.
ISSN 1300-0098 (Print) 1303-6149 (Online)

Official URL: http://dx.doi.org/10.3906/mat-1811-27

## Abstract

We consider the polynomials of the form P(x) = x(k) - gamma Tr(x) over F-qn for n >= 2. We show that P(x) is not a permutation of F-qn in the case gcd(k,q(n) - 1) > 1. Our proof uses an absolutely irreducible curve over( )F(qn) and the number of rational points on it.

Item Type: | Article |
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Uncontrolled Keywords: | Function fields; permutation polynomials; rational places |

Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |

Depositing User: | Nurdagül Anbar Meidl |

Date Deposited: | 12 Feb 2019 15:34 |

Last Modified: | 10 Jun 2023 16:25 |

URI: | https://research.sabanciuniv.edu/id/eprint/36835 |