Quote - I really hate to break this to you, but todays gpu's, can generate every key possiblilty rather quickly. Over a million per stream processor, per second.

My workstation has 3200 stream processors, do the math.

I did the math.

3200 processors at 10^6 keys per second operating for one year can analyze about 10^17 keys per year.

Converting that to bits, it can try all combinations of 56 bits in one year. With me so far?

The math is:

log(3200 * 10^6 * 3600 * 24 * 365) / log(2) = approximately 56

Now let's assume you had one trillion of these. Now you can scan 96 bits in a year.

Now let's assume you apply Moore's law for 150 years and you double the power every 18 months for 150 years. You now have the ability to scan, in one year, 196 bits. But remember, that is 150 years from now.

[The math:

3200 GPU

10^6 keys per second

3600 seconds per hour

24 hours per day

365 days per year

10^12 (one trillion) computers at work in parallel

processor speed doubles 100 times (150 years from now, doubling every 18 months)

log(3200 * 10^6 * 3600 * 24 * 365 * (10^12)* (2^100)) / log(2) = 196.349

]

OK, so 150 years from now we can guess a 196 bit key in a year, using one trillion computers all working on the same problem.

How long, on average, till you guess the 256-bit key?

In years: 1.153 * 10^18

This is still longer than the age of the universe, by many orders of magnitude.

And if that isn't good enough, I'll simply doubly encrypt with 512 bits and now it's longer than the age of the universe repeated for every atom in the universe.

Math is amazing, isn't it? 

 

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