Random primes in arithmetic progressions

Pascal Giorgi; Bruno Grenet; Armelle Perret du Cray; Daniel S. Roche

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arXiv · 2202.05955

Random primes in arithmetic progressions

Pascal Giorgi·Bruno Grenet·Armelle Perret du Cray·Daniel S. Roche

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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.

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BibTeX RIS

Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche. 2022-02-12. Random primes in arithmetic progressions. https://arxiv.org/abs/2202.05955

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