Cryptology ePrint Archive: Report 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.

Category / Keywords: foundations / hyperelliptic curves of genus $2$

Publication Info: submitted ICISC03

Date: received 4 Oct 2003

Contact author: ekjeong at postech ac kr

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Version: 20031006:200331 (All versions of this report)

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