Paper 2014/318
Index calculus in the trace zero variety
Elisa Gorla and Maike Massierer
Abstract
We discuss how to apply Gaudry’s index calculus algorithm for abelian varieties to solve the discrete logarithm problem in the trace zero variety of an elliptic curve. We treat in particular the practically relevant cases of field extensions of degree 3 or 5. Our theoretical analysis is compared to other algorithms present in the literature, and is complemented by results from a prototype implementation.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- elliptic curve cryptographydiscrete logarithm problemindex calculustrace zero variety
- Contact author(s)
- maike massierer @ inria fr
- History
- 2015-02-23: revised
- 2014-05-06: received
- See all versions
- Short URL
- https://ia.cr/2014/318
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2014/318,
author = {Elisa Gorla and Maike Massierer},
title = {Index calculus in the trace zero variety},
howpublished = {Cryptology {ePrint} Archive, Paper 2014/318},
year = {2014},
url = {https://eprint.iacr.org/2014/318}
}