J. Gasnier

activity

20242026

collaborators

3 papers

quant-ph2026

Quantum group codes for non-Clifford logic: enhanced decoding, addressability and parallelizability

Jean Gasnier, Virgile GuÃ©mard

We introduce a framework based on classical quasi group codes to define a class of quantum CSS codes, called quantum group codes, supporting transversal multi-control- $Z$ gates whi…

math.NT2025

Unramified abelian covers with many points

Jean Gasnier

We produce curves with a record number of points over the finite fields with $4$ , $9$ , $16$ and $25$ elements, as unramified abelian covers of algebraic curves.

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…