Welcome to the resource topic for 2022/160
Title:
Random primes in arithmetic progressions
Authors: Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche
Abstract:We describe a straightforward method to generate a random prime q such that the multiplicative group GF(q)* also has a random large prime-order subgroup. The described algorithm also yields this order p as well as a p’th primitive root of unity. The methods here are efficient asymptotically, but due to large constants may not be very useful in practical settings.
ePrint: https://eprint.iacr.org/2022/160
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