1 citations · 2 across the 5 of their papers we have counts for
6 papers
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…
Genus-five hyperelliptic or trigonal curves with many rational points in characteristic three
Momonari Kudo, Shushi Harashita
The number , the maximal number of -rational points on curves over of genus is unknown, but it is known that . In this…
Computing the space of differential forms of a plane curve and its Cartier-Manin matrix
Momonari Kudo, Shushi Harashita
In this paper, we propose a feasible algorithm to give an explicit basis of the space of regular differential forms on the nonsingular projective model of any given plane algebraic…
Counting isomorphism classes of superspecial curves
Momonari Kudo
A superspecial curve is a (non-singular) curve over a field of positive characteristic whose Jacobian variety is isomorphic to a product of supersingular elliptic curves over the a…
Algorithms to enumerate superspecial Howe curves of genus 4
Momonari Kudo, Shushi Harashita, Everett W. Howe
A Howe curve is a curve of genus obtained as the fiber product of two genus- double covers of . In this paper, we present a simple algorithm for testing isomor…
Algorithmic study of superspecial hyperelliptic curves over finite fields
Momonari Kudo, Shushi Harashita
This paper presents algorithmic approaches to study superspecial hyperelliptic curves. The algorithms proposed in this paper are: an algorithm to enumerate superspecial hyperellipt…