>Those are essentially the numbers I came up with as well.  However (and I
>admit to being fairly new to this), how many current schemes can be broken
>solely through brute force?  Are any of them vulnerable to more elegant
>(albeit computationally intensive) attacks?

You miss the point.  Any system can be broken by brute force; the
notion of a more elegant attack that will also take more time is
nonexistent.  Brute force is always the worst-case breaking time, so
anything that is considered 'more elegant' will be doable in faster
than brute force time.

Riad Wahby
[EMAIL PROTECTED]
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