Paper 2005/277
Scholten Forms and Elliptic/Hyperelliptic Curves with Weak Weil Restrictions
Fumiyuki Momose and Jinhui Chao
Abstract
In this paper, we show explicitly the classes of elliptic and hyperelliptic curves of low genera defined over extension fields, which have weak coverings, i.e. their Weil restrictions can be attacked by either index calculus attacks to hyperelliptic curves or Diem's recent attack to non-hyperelliptic curves. In particular, we show how to construct such coverings from these curves and analyze density of the curves for them such construction is possible.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- elliptic curve cryptosystem
- Contact author(s)
- jchao @ ise chuo-u ac jp
- History
- 2005-12-19: last of 5 revisions
- 2005-08-18: received
- See all versions
- Short URL
- https://ia.cr/2005/277
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2005/277,
author = {Fumiyuki Momose and Jinhui Chao},
title = {Scholten Forms and Elliptic/Hyperelliptic Curves with Weak Weil Restrictions},
howpublished = {Cryptology {ePrint} Archive, Paper 2005/277},
year = {2005},
url = {https://eprint.iacr.org/2005/277}
}
