In this paper, we present a review of three widely-used practical square root algorithms. We then describe a unifying framework where each of these well-known algorithms can be seen as a special case of it. The framework with singular curves offers a broad perspective to compare and further improve the existing methods in addition to offering a new avenue for square root computation algorithms in finite fields.

中文翻译：

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有限域中的平方根计算

在本文中，我们回顾了三种广泛使用的实用平方根算法。然后，我们描述一个统一的框架，其中每个众所周知的算法都可以被视为它的一个特例。奇异曲线框架除了为有限域中的平方根计算算法提供新途径之外，还为比较和进一步改进现有方法提供了广阔的视角。