Sebastian Günther wrote:
* Volker Armin Hemmann ([EMAIL PROTECTED]) [27.06.08 00:12]:
and this is why nobody uses brute force.

There a better ways to crack keys. NSA has tons of experts in mathematics and cryptanalysis. Plus very sophisticated hardware. I am sure for most ciphers they use something much more efficient than stupid brute force.


The thing about this keys is, that there is no better way than to brute force such keys. The algorithm uses a function which inverse is a known hard problem which resides in NP, which is a class of functions equal to just guessing.

I don't believe this is true. The algorithm uses a function which is *assumed* to be a hard problem. You assume the problem is hard because you and anyone you know have not been able to make it easy. That does not mean that someone has not discovered some math that does make it easy.

Here's a reference to the interesting meet-in-the-middle attack which reduced 3DES key space down to 112 bits from 192. Obviously that was unknown when 3DES was built.
http://en.wikipedia.org/wiki/Triple_DES#Security

kashani
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