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