On 27-May-26 03:22, Blumenthal, Uri - 0553 - MITLL wrote:

 >> That depends on relative difficulty of breaking algorithms. If quantum
 >> attack against first algorithm is much cheaper than attacking the second
 >> algorithm, then the second algorithm is the bottleneck and adding the
 >> first to composite does not improve security.
 >
 > Last time I checked, 1000+1 > 1000, which is all I was asserting. If I’d
 > asserted "breaking two algorithms is always *significantly* harder than
 >  breaking one algorithm", I would have been wrong.

You keep ignoring or forgetting that the above “+1” is not free, so one has to 
evaluate the cost/trouble of adding that “1” against the benefits it’s going to 
add.

That's a different argument. I completely agree that the final decision about 
what algorithm(s) to implement or deploy needs such a cost/benefit analysis.


For example, nobody argues that if we super-encrypt AES ciphertext with , e.g., 
ARIA — we’ll increase the overall security. But, for reasons quite obvious, 
nobody seems willing to add that “+1” to the “1000” that AES already provided.

Fair enough. But I have been led to understand that hybrid algorithms are very 
significantly harder to break than either conventional or PQ algorithms, and 
only somewhat more expensive to deploy.

   Brian
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