Group Law Algorithms for Jacobian Varieties of Curves overFinite Fields

机译：曲线曲线曲线多菲丁田的群法算法

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This paper reviews the group law algorithms of nonsingular Cab curves, andprovides implementation results comparing it to an algorithm for computingin the generalized Jacobian of C_Acurves.

机译：本文综述了非垂直驾驶室曲线的小组法算法，并提供了一种将其与C_Acurves广义Jacobian计算的算法比较。

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来源
《Symposium on Algebraic Geometry and its Applications》|2008年||共25页
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作者
Ran Cohen;
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原文格式 PDF
正文语种
中图分类 O187-532;
关键词
generalized Jacobian; hyperelliptic curves; cryptography;

机译：广义雅加诺斯;超细曲线;密码学;

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专利

1. Lefschetz classes of simple factors of the Jacobian variety of a Fermat curve of prime degree over finite fields [J] . Sugiyama R. Journal of Number Theory . 2013,第4期

机译：有限域上素数费马曲线的雅可比变量的Lefschetz类简单因子
2. Erratum: "The coincidence of fields of moduli for nonhyperelliptic curves and for their Jacobian varieties'' [J] . Tsutomu Sekiguchi Nagoya Mathematical Journal . 1986,第2期

机译：勘误表：“非椭圆曲线及其雅可比变量的模场重合”
3. Erratum: "On the fields of rationality for curves and for their Jacobian varieties'' [J] . Tsutomu Sekiguchi Nagoya Mathematical Journal . 1986,第2期

机译：勘误表：“关于曲线及其雅可比变量的合理性领域”
4. Group Law Algorithms for Jacobian Varieties of Curves overFinite Fields [C] . Ran Cohen Symposium on Algebraic Geometry and its Applications . 2008

机译：曲线曲线曲线多菲丁田的群法算法
5. The projective geometry of curves of genus one, and an algorithm for the Jacobian of such a curve [D] . Perlis, Alexander R. 2004

机译：一类曲线的射影几何以及这种曲线的雅可比算术
6. Detection of Volume-Changing Metastatic Brain Tumors on Longitudinal MRI Using a Semiautomated Algorithm Based on the Jacobian Operator Field [O] . O. Shearkhani, A. Khademi, A. Eilaghi, 2017

机译：基于Jacobian算子场的半径算法检测纵向MRI对纵向MRI的体积转移脑肿瘤
7. The coincidence of fields of moduli for non-hyperlliptic curves and for their Jacobian varieties [O] . 関口力 1979

机译：非超椭圆曲线及其雅可比变量模场的重合
8. Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varieties. [R] . Bost, J. B. 1992

机译：Compact Riemann曲面，Jacobians和abelian品种简介。

Group Law Algorithms for Jacobian Varieties of Curves overFinite Fields

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