2022/02/12 by Pascal Giorgi, Bruno Grenet, Giorgi, Pascal +5
Mathematics · #Analytic Number Theory Research
paper · pdf · doi:10.48550/arxiv.2202.05955
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.