Isomorphism Classes of Hyperelliptic Curves of Genus 2 over $\mathbb{F}_{2^n}$

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Paper 2003/213

Isomorphism Classes of Hyperelliptic Curves of Genus 2 over $\mathbb{F}_{2^n}$

Y.Choie and E.Jeong

Abstract

We give the exact number and representatives of the isomorphism, which preserves infinity, classes of hyperelliptic curves of genus $2$ over finite fields with characteristic $2 $ in most cases. These results have applications to hyperelliptic curve cryptography.

Metadata

Available format(s): PDF PS
Category: Foundations
Publication info: Published elsewhere. submitted ICISC03
Keywords: hyperelliptic curves of genus $2$
Contact author(s): ekjeong @ postech ac kr
History: 2003-10-06: received
Short URL: https://ia.cr/2003/213
License: CC BY