On 9/16/13 at 12:36 PM, leich...@lrw.com (Jerry Leichter) wrote:

On Sep 16, 2013, at 12:44 PM, Bill Frantz <fra...@pwpconsult.com> wrote:
After Rijndael was selected as AES, someone suggested the really paranoid 
should super encrypt with
all 5 finalests in the competition. Five level super encryption is probably overkill, but two or three levels can offer some real advantages. So consider simple combinations of techniques which are at least as secure as the better of them....
This is trickier than it looks.

Joux's paper "Multicollisions in iterated hash functions" 
http://www.iacr.org/archive/crypto2004/31520306/multicollisions.ps
shows that "finding ... r-tuples of messages that all hash to the same value is not much harder than finding ... pairs of messages". This has some surprising implications. In particular, Joux uses it to show that, if F(X) and G(X) are cryptographic hash functions, then H(X) = F(X) || G(X) (|| is concatenation) is about as hard as the harder of F and G - but no harder.

That's not to say that it's not possible to combine multiple instances of cryptographic primitives in a way that significantly increases security. But, as many people found when they tried to find a way to use DES as a primitive to construction an encryption function with a wider key or with a bigger block size, it's not easy - and certainly not if you want to get reasonable performance.

This kind of result is why us crypto plumbers should always consult real cryptographers. :-)

I am not so much trying to make the construction better than the algorithms being used, like 3DES is much more secure than 1DES, (and significantly extended the useful life of DES); but to make a construction that is at least as good as the best algorithm being used.

The idea is that when serious problems are discovered with one algorithm, you don't have to scramble to replace the entire crypto suite. The other algorithm will cover your tail while you make an orderly upgrade to your system.

Obviously you want to chose algorithms which are likely to have different failure modes -- which I why I suggest that RC4 (or an extension thereof) might still be useful. The added safety also allows you to experiment with less examined algorithms.

Cheers - Bill

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Bill Frantz        |The nice thing about standards| Periwinkle
(408)356-8506 |is there are so many to choose| 16345 Englewood Ave www.pwpconsult.com |from. - Andrew Tanenbaum | Los Gatos, CA 95032

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