On 09/06/2003 02:09 PM, Perry E. Metzger wrote:
> For making things like IP fragmentation ids and other similar
> protocol elements unpredictable, it would be useful to have what I'll
> call a cryptographic ergodic sequence generator -- that is, a
> generator that will produce a sequence of n bit numbers such that
> there are no repeats until you pass the 2^nth number in the sequence
> (that is, the sequence is a permutation of all 2^n bit numbers) and
> such that it is very difficult to predict what the next number in the
> sequence might be beyond the fact that it will not be one of the
> numbers seen earlier in the sequence. It is also rather important
> that the generator be computationally inexpensive.
>
> Anyone know how to produce such a thing?

Encrypted counter.

The counter provably has a cycle of 2^n.
The encryption is provably 1-to-1.
Choose the encryption key randomly and keep it secret.


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