## 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