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Computing in the Jacobian of a hyperelliptic curve

David G. Cantor

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Source: Crossref

Published: Jan 1, 1987

DOI: 10.1090/s0025-5718-1987-0866101-0

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Source 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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Computing in the Jacobian of a hyperelliptic curve — Mathematical Frontier Network