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My math is as follows. If you can do one billion operations per second on a single core, and you have one billion cores available, that translates to $2^{60}$ operations per second, and $2^{100}$/$2^{60}$ = $2^{40}$ seconds, which translates to ~35,000 years.

Increase the key length to 128 bits, and the time required becomes greater than the age of the universe.

Is the math here correct?

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  • $\begingroup$ @PaulUszak Please refrain from using comments for purposes other than asking for clarification or making suggestions to improve the question. $\endgroup$
    – Ella Rose
    Jan 23 '19 at 2:14
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Yes, your math is correct. That is why 128-bit keys are considered secure.

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