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Fermat Curves over Finite Fields and Cyclic Subsets in High-Dimensional Projective Spaces
- Source :
- Finite Fields and Their Applications; April 1999, Vol. 5 Issue: 2 p206-217, 12p
- Publication Year :
- 1999
-
Abstract
- Let GF(q) be the Galois field of orderq=ph, and letm≥3 be an integer. An explicit formula for the number of GF(qm)-rational points of the Fermat curveXn+Yn+Zn=0 is given whenndivides (qm−1)/(q−1) andpis sufficiently large with respect to (qm−1)/(n(q−1)).
Details
- Language :
- English
- ISSN :
- 10715797 and 10902465
- Volume :
- 5
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Finite Fields and Their Applications
- Publication Type :
- Periodical
- Accession number :
- ejs740583
- Full Text :
- https://doi.org/10.1006/ffta.1998.0242