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Prime Order Primitive Subgroups in Torus-Based Cryptography
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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 }