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Paper 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)
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- finite fieldprimitive subgrouptorus-based cryptographyBateman-Horn conjecture
- Contact author(s)
- gower @ ima umn edu
- History
- 2006-12-11: received
- Short URL
- https://ia.cr/2006/466
- License
-
CC BY