Prime Order Primitive Subgroups in Torus-Based Cryptography

Jason E.  Gower

Paper 2006/466 Original: eprint.iacr.org/2006/466 ↗

Prime Order Primitive Subgroups in Torus-Based Cryptography

Jason E. Gower

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.

Metadata

Available format(s): PDF
Publication info: Preprint.
History: 2006-12-11: last updated; 2006-12-11: published
Short URL: https://ia.cr/2006/466
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2006/466,
      author = {Jason E.  Gower},
      title = {Prime Order Primitive Subgroups in Torus-Based Cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/466},
      year = {2006},
      url = {https://eprint.iacr.org/2006/466}
}