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arXiv 2202.05955cs.CCcs.SCmath.NT
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算术级数中的随机素数

Random primes in arithmetic progressions

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

摘要:

我们描述了一个简单的方法来生成一个随机素数q,使得乘法群GF(q)* 也有一个随机大素数阶子群。所描述的算法也产生了这个阶p以及第p个原单位根。这里的方法是有效的渐近,但由于大常数可能不是很有用的实际设置。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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