Geodesic
The Maximum Number of Points on a Curve of Genus 4 over ${{\mathbb{F}}_{8}}$ is 25
Canadian journal of mathematics, Tome 55 (2003) no. 2, pp. 331-352

Voir la notice de l'article provenant de la source Cambridge University Press

We prove that the maximum number of rational points on a smooth, geometrically irreducible genus 4 curve over the field of 8 elements is 25. The body of the paper shows that 27 points is not possible by combining techniques from algebraic geometry with a computer verification. The appendix shows that 26 points is not possible by examining the zeta functions.
DOI : 10.4153/CJM-2003-015-7
Mots-clés : 11G20, 14H25 
Savitt, David. The Maximum Number of Points on a Curve of Genus 4 over ${{\mathbb{F}}_{8}}$ is 25. Canadian journal of mathematics, Tome 55 (2003) no. 2, pp. 331-352. doi: 10.4153/CJM-2003-015-7
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