## CryptoDB

### Paper: Prime Order Primitive Subgroups in Torus-Based Cryptography

Authors: Jason E. Gower URL: http://eprint.iacr.org/2006/466 Search ePrint Search Google We use the Bateman-Horn conjecture to study the order of the set of $\mathbb{F}_q$-rational points of primitive subgroups that arise in torus-based cryptography. We provide computational evidence to support the heuristics and make some suggestions regarding parameter selection for torus-based cryptography.
##### BibTeX
@misc{eprint-2006-21957,
title={Prime Order Primitive Subgroups in Torus-Based Cryptography},
booktitle={IACR Eprint archive},
keywords={finite field, primitive subgroup, torus-based cryptography, Bateman-Horn conjecture},
url={http://eprint.iacr.org/2006/466},
note={ gower@ima.umn.edu 13488 received 6 Dec 2006},
author={Jason E. Gower},
year=2006
}