On some open problems on maximal curves
Stefania Fanali, Massimo Giulietti
TL;DR
This paper addresses open questions about maximal algebraic curves with Frobenius dimension 3, proving the existence of a specific maximal curve with a particular order sequence.
Contribution
It solves three open problems on maximal curves with Frobenius dimension 3, including the existence of a maximal curve with order sequence (0,1,3,q).
Findings
Proves the existence of a maximal curve with order sequence (0,1,3,q).
Solves three open problems on maximal curves with Frobenius dimension 3.
Abstract
In this paper we solve three open problems on maximal curves with Frobenius dimension 3. In particular, we prove the existence of a maximal curve with order sequence (0,1,3,q).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Coding theory and cryptography · Polynomial and algebraic computation