J. Couveignes

collaborators

2 papers

math.NT2026

Elliptic butterflies

Jean-Marc Couveignes, Reynald Lercier

We study natural evaluation and interpolation problems for elliptic functions and prove that they allow a recursive treatment using a variant of classical butterflies first introdu…

math.NT2024

Explicit Riemann-Roch spaces in the Hilbert class field

Jean-Marc Couveignes, Jean Gasnier

Let $K$ be a finite field, $X$ and $Y$ two curves over $K$ , and $Y \to X$ an unramified abelian cover with Galois group $G$ . Let $D$ be a divisor on $X$ and…