Two Topics in Hyperelliptic Cryptography

Two Topics in Hyperelliptic CryptographyShort Description
hyperelliptic curves for use in cryptography in generas two and three. The … Key words and phrases. hyperelliptic curves, cryptography, Weil descent. …

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Two Topics in Hyperelliptic Cryptography
Florian Hess, Gadiel Seroussi, Nigel Smart
Information Theory Research Group
HP Laboratories Palo Alto
HPL-2000-118
September 19th, 2000*
hyperelliptic
curves,
cryptography,
Weil descent
In this paper we address two important topics in hyperelliptic
cryptography. The first is how to construct in a verifiably
random manner hyperelliptic curves for use in cryptography in
generas two and three. The second topic is how to perform
divisor compression in the hyperelliptic case. Hence in both
cases we generalize concepts used in the more familiar elliptic
curve case to the hyperelliptic context.
* Internal Accession Date Only Approved for External Publication

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