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

Y. Choie; E. Jeong

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

BibTeX

@misc{cryptoeprint:2003/213,
      author = {Y. Choie and E. Jeong},
      title = {Isomorphism Classes of Hyperelliptic Curves of Genus 2 over $\mathbb{F}_{2^n}$},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/213},
      year = {2003},
      url = {https://eprint.iacr.org/2003/213}
}