2007arXiv (Cornell University)Open access

Generators of Jacobians of Hyperelliptic Curves

Christian Robenhagen Ravnshøj

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Abstract

This paper provides a probabilistic algorithm to determine generators of the m-torsion subgroup of the Jacobian of a hyperelliptic curve of genus two.

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This paper provides a probabilistic algorithm to determine generators of the m-torsion subgroup of the Jacobian of a hyperelliptic curve of genus two.

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Available abstract

This paper provides a probabilistic algorithm to determine generators of the m-torsion subgroup of the Jacobian of a hyperelliptic curve of genus two.

Key concepts: Hyperelliptic curve, Jacobian matrix and determinant, Hyperelliptic curve cryptography, Genus, Mathematics, Probabilistic logic, Torsion (gastropod), Pure mathematics

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