Improved Complexity Bounds for Counting Points on Hyperelliptic Curves

Author:

Abelard Simon,Gaudry Pierrick,Spaenlehauer Pierre-Jean

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Faster Change of Order Algorithm for Gröbner Bases under Shape and Stability Assumptions;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04

2. On the Number of Points on the Curve $$y^2 = x^{7} + ax^4 + bx $$ over a Finite Field;Journal of Applied and Industrial Mathematics;2022-05

3. Counting points on hyperelliptic curves of type y2 = x2+1 + ax+1 + bx;Finite Fields and Their Applications;2020-12

4. Counting points on hyperelliptic curves with explicit real multiplication in arbitrary genus;Journal of Complexity;2020-04

5. Hensel-lifting torsion points on Jacobians and Galois representations;Mathematics of Computation;2019-11-04

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