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)
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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 |
|---|---|
| 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 |
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