Computing in the Jacobian of a hyperelliptic curve

Cantor, David G.

doi:10.1090/S0025-5718-1987-0866101-0

Computing in the Jacobian of a hyperelliptic curve
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Math. Comp. 48 (1987), 95-101 Request permission

Abstract:

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.

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