论文标题
快速计算奇数特征中的高纤维化曲线同基因
Fast computation of hyperelliptic curve isogenies in odd characteristic
论文作者
论文摘要
令P为奇数质数，g $ \ ge $ 2为整数。我们提出了一种用于计算p-Adic数字QP领域的延伸k属的jacobians jacobians jacobians之间的显式理性表示的算法。它依赖于有效的分辨率，并具有对微分方程的一阶系统的对数损失。
Let p be an odd prime number and g $\ge$ 2 be an integer. We present an algorithm for computing explicit rational representations of isogenies between Jacobians of hyperelliptic curves of genus g over an extension K of the field of p-adic numbers Qp. It relies on an efficient resolution, with a logarithmic loss of p-adic precision, of a first order system of differential equations.
