论文标题

算术进展中的随机素数

Random primes in arithmetic progressions

论文作者

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

论文摘要

我们描述了一种直接的方法来生成一个随机的prime Q,以便乘法组gf(q)*也具有随机的大质阶亚组。所描述的算法还产生该顺序P以及统一的原始根。这里的方法在渐近上是有效的,但是由于常数较大,在实际设置中可能不是很有用。

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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