Curves of genus 3 over small finite fields
Abstract
We present a table containing the maximal number of rational points on a genus 3 curve over a field of cardinality q, for all q<100. Also, some remarks on Frobenius non-classical quartics over finite fields are given.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2003
- DOI:
- arXiv:
- arXiv:math/0301264
- Bibcode:
- 2003math......1264T
- Keywords:
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- Number Theory;
- Algebraic Geometry;
- 11G;
- 14H
- E-Print:
- 9 pages