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Curves over Finite Fields and Permutations of the Form xk - γTr(x).
- Source :
-
Turkish Journal of Mathematics . 2019, Vol. 43 Issue 1, p533-538. 6p. - Publication Year :
- 2019
-
Abstract
- We consider the polynomials of the form P(x) = xk - γTr(x) over 픽 qn for n ≥ 2. We show that P(x) is not a permutation of 픽qn in the case gcd(k, qn - 1) > 1. Our proof uses an absolutely irreducible curve over 픽qn and the number of rational points on it. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CURVES
*FINITE fields
*PERMUTATIONS
*POLYNOMIALS
*RATIONAL points (Geometry)
Subjects
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 43
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 134454532
- Full Text :
- https://doi.org/10.3906/mat-1811-27