2016/11/30 by Davide Lombardo, Elisa Lorenzo García
Computer Science · Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Computer science #Cryptography and Residue Arithmetic #Discrete mathematics #Field (mathematics) #Finite field #Genus #Hyperelliptic curve #Hyperelliptic curve cryptography #Mathematical analysis #Mathematics #Polynomial and algebraic computation #Pure mathematics #Separable space #math.NT
paper · pdf · doi:10.1016/j.jalgebra.2018.08.035
Final version, accepted in the Journal of Algebra
openalex publication_date 2018/09/24 · arxiv created 2018/09/26 · arxiv updated 2018/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give an efficient algorithm to compute equations of twists of hyperelliptic curves of arbitrary genus over any separable field (of characteristic different from 2), and we explicitly describe some interesting examples.