2 papers
math.AG2025
Enumeration Algorithm for Genus-4 Superspecial Hyperelliptic Curves with Automorphism Group
Takara Taniguchi, Ryo Ohashi, Tsuyoshi Takagi
In this paper, we propose an algorithm to enumerate genus-4 superspecial hyperelliptic curves whose automorphism groups isomorphic to the quaternion group. By implementing this alg…
math.AG2022
Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing
Momonari Kudo, Tasuku Nakagawa, Tsuyoshi Takagi
In arithmetic and algebraic geometry, superspecial (s.sp.\ for short) curves are one of the most important objects to be studied, with applications to cryptography and coding theor…