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Title:
Prime Order Primitive Subgroups in Torus-Based Cryptography
Authors: 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.
ePrint: https://eprint.iacr.org/2006/466
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