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• W2949860226 startingPage "398" @default.
• W2949860226 abstract "In hyperelliptic curve cryptography, finding a suitable hyperelliptic curve is an important fundamental problem. One of necessary conditions is that the order of its Jacobian is a product of a large prime number and a small number. In the paper, we give a probabilistic polynomial time algorithm to test whether the Jacobian of the given hyperelliptic curve of the form Y 2 = X+uX+vX satisfies the condition and, if so, gives the largest prime factor. Our algorithm enables us to generate random curves of the form until the order of its Jacobian is almost prime in the above sense. A key idea is to obtain candidates of its zeta function over the base field from its zeta function over the extension field where the Jacobian splits." @default.
• W2949860226 created "2019-06-27" @default.
• W2949860226 creator A5010799553 @default.
• W2949860226 date "2008-01-01" @default.
• W2949860226 modified "2023-09-24" @default.
• W2949860226 title "Generating genus two hyperelliptic curves over large characteristic finite fields." @default.
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• W2949860226 hasPublicationYear "2008" @default.
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