Suppose you compute 11644 mod 645 using the algorithm for modular exponentiation discussed in lecture and shown below: modExp (b, n, m): x = 1 p = b mod m for i = 0: k-1: if a_i = 1: x = (xp) mod m P = (pp) mod m

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Suppose you compute
11644 mod 645
using the algorithm for modular exponentiation discussed in lecture and shown below:
modExp (b, n, m):
x = 1
p = b mod m
for i = 0: k-1:
if
return x
1
11
Recall that, the algorithm assumes we know or can find the binary expansion of n so that n = (ak-1, ak-2,..., ao)2. If the initial values are x and p are 1
and 11 respectively, select all the possible values that x will attain at some iteration of the algorithm.
121
451
221
226
ai = 1:
391
x = (xp) mod m
P = (pp) mod m
Transcribed Image Text:Suppose you compute 11644 mod 645 using the algorithm for modular exponentiation discussed in lecture and shown below: modExp (b, n, m): x = 1 p = b mod m for i = 0: k-1: if return x 1 11 Recall that, the algorithm assumes we know or can find the binary expansion of n so that n = (ak-1, ak-2,..., ao)2. If the initial values are x and p are 1 and 11 respectively, select all the possible values that x will attain at some iteration of the algorithm. 121 451 221 226 ai = 1: 391 x = (xp) mod m P = (pp) mod m
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