paper

Curves of genus 3 over small finite fields

arXiv:math/0301264

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.

9 pages

Curves of genus 3 over small finite fields · wovepaper