David G. Cantor
Abstract
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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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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.
Key concepts: Jacobian matrix and determinant, Hyperelliptic curve, Hyperelliptic curve cryptography, Mathematics, Computation, Gauss, Genus, Reduction (mathematics)