Counting points on genus-3 hyperelliptic curves with explicit real multiplication. - Simon Abelard; Pierrick Gaudry; Pierre-Jean Spaenlehauer (CoRR, 2018)

Counting points on hyperelliptic curves in large characteristic : algorithms and complexity. (Comptage de points de courbes hyperelliptiques en grande caractéristique : algorithmes et complexité). - Simon Abelard (2018)

Improved Complexity Bounds for Counting Points on Hyperelliptic Curves. - Simon Abelard; Pierrick Gaudry; Pierre-Jean Spaenlehauer (Found. Comput. Math., 2019)

On the Complexity of Computing Integral Bases of Function Fields. - Simon Abelard (CASC, 2020)

Sub-quadratic time for riemann-roch spaces: case of smooth divisors over nodal plane projective curves. - Simon Abelard; Alain Couvreur; Grégoire Lecerf (ISSAC, 2020)

Counting points on hyperelliptic curves with explicit real multiplication in arbitrary genus. - Simon Abelard (J. Complex., 2020)

Computing Riemann-Roch spaces via Puiseux expansions. - Simon Abelard; Elena Berardini; Alain Couvreur; Grégoire Lecerf (J. Complex., 2022)

Broadcast Encryption using Sum-Product decomposition of Boolean functions. - Aurélien Dupin; Simon Abelard (IACR Commun. Cryptol., 2024)

Efficient computation of Riemann-Roch spaces for plane curves with ordinary singularities. - Simon Abelard; Alain Couvreur; Grégoire Lecerf (Appl. Algebra Eng. Commun. Comput., 2024)