Terms & Definitions
cryptographically strong random number generator
A cryptographically strong random number generator is a random number
generator of the highest quality.
A cryptographically strong random number generator passes all
statistical tests that run in polynomial time asymptotically.
It will pass any statistical test for randomness that does not require
an exponentially increasing to infinite amount of time to run.
All such polynomial time statistical tests will be unable to distinguish
the random number generator from a
true random source.
The values produced by the generator are random in an absolutely precise way.
There is absolutely no better way to predict the sequence than by tossing
Furthermore, having a large chunk of output from the random number
generator does not help in predicting past or future values.