Computing in the Jacobian of a hyperelliptic curve

Computing in the Jacobian of a hyperelliptic curve
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DOI:
10.1090/s0025-5718-1987-0866101-0
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发表时间:
1987
影响因子:
2
通讯作者:
D. Cantor
D. Cantor
中科院分区:
数学2区
文献类型:
--
作者:
D. Cantor

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在本文中,我们提出的算法,适合于计算机使用,计算的雅可比矩阵的超椭圆曲线。我们提出了一个约简算法,当亏格g很大时,它比高斯约简算法渐近快。
In this paper we present algorithms, suitable for computer use, for computation in the Jacobian of a hyperelliptic curve. We present a reduction algorithm which is asymptotically faster than that of Gauss when the genus g is very large.