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Can anyone give me the answer of the following question.

Justify why Blum-Micali algorithm is deterministic algorithm ?

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  • $\begingroup$ I know about deterministic, my question is why Blum-Micali algorithm is deterministic algorithm ? $\endgroup$ – Zubair Ahmed Sep 26 '18 at 19:02
  • $\begingroup$ Blum-Micali algorithm cryptographically secure pseudorandom number generator $\endgroup$ – kelalaka Sep 26 '18 at 19:09
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Blum-Micali algorithm is is a cryptographically secure pseudorandom number generator.

Let $p$ be a prime, and $g$ is a primitive root mod $p$ and $x_0$ is the seed. Then, let $x_{i+1} = g^{x_i}\ \bmod{\ p} $.

The i-th output is $$ 1 \text{ if } x_i<(p−1)/2. $$ $$ 0 \text{ Otherwise}$$

Since whenever you started from the same seed, you will get the same results, so it is deterministic. There is no randomness in the calculations.

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