Generators of Jacobians of Hyperelliptic Curves
Christian Robenhagen Ravnshøj
Abstract
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Christian Robenhagen Ravnshøj
Abstract
Open-access reader
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.
Key concepts: Hyperelliptic curve, Jacobian matrix and determinant, Hyperelliptic curve cryptography, Genus, Mathematics, Probabilistic logic, Torsion (gastropod), Pure mathematics