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- Two Topics in Hyperelliptic Cryptography Short Description hyperelliptic curves for use in cryptography in generas two and three. The ... Key words and phrases. hyperelliptic curves, cryptography, Weil descent. ... Website: www.hpl.hp.com | Filesize: 135kb Content 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