International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Paper: Prime Order Primitive Subgroups in Torus-Based Cryptography

Authors:
Jason E. Gower
Download:
URL: http://eprint.iacr.org/2006/466
Search ePrint
Search Google
Abstract: 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
}