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We consider the computation of cube roots in finite fields. For the computation of square roots in finite fields, there are two typical methods; the Tonelli-Shanks method [9, 12] and the Cipolla-Leh...
We consider the computation of cube roots in finite fields. For the computation of square roots in finite fields, there are two typical methods; the Tonelli-Shanks method [9, 12] and the Cipolla-Leh...
The cost of the folklore algorithm for computing cube roots in F3m in standard polynomial basis is less that one multiplication, but still O(m2). Here we show that, if F3m is represented in trinomia...

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