Computing in the Jacobian of a hyperelliptic curve 论文
1987Mathematics of Computation引用 391
Algebraic Geometry and Number TheoryPolynomial and algebraic computationAdvanced Numerical Analysis Techniques
摘要
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 <italic>g</italic> is very large.