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arXiv · 1111.4877

Adleman-Manders-Miller Root Extraction Method Revisited

Zhengjun Cao·Qian Sha·Xiao Fan
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Abstract

In 1977, Adleman, Manders and Miller had briefly described how to extend their square root extraction method to the general $r$th root extraction over finite fields, but not shown enough details. Actually, there is a dramatic difference between the square root extraction and the general $r$th root extraction because one has to solve discrete logarithms for $r$th root extraction. In this paper, we clarify their method and analyze its complexity. Our heuristic presentation is helpful to grasp the method entirely and deeply.

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Zhengjun Cao, Qian Sha, Xiao Fan. 2011-11-21. Adleman-Manders-Miller Root Extraction Method Revisited. https://arxiv.org/abs/1111.4877

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