Math 110 Homework 3 Solutions
January 29, 2015 1. (a) Describe the method in Section 3.5 for e ciently computing exponentials ab (mod n), and verify the book’s claim that this can be done in at most 2log 2 (b) multiplications. (b) Use this method to compute 3172 (mod 191). Solution: (a) The basic idea is that a2m can be calculated in m 1 multiplications, as a2m a2m 1 a2m 1
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