That's what I'd expect, yes. But what I expect is not always what is true, so it's good to have data that confirm (or deny) my understanding. Also, I'm not a cryptanalyst, so I don't know whether there are any nuances to the "double per extra bit" rule of thumb.
I think the right answer is "roughly". It depends on how much the extra key space influences the actual encryption. A typical example would be 3DES, with triple the number of key bits, for squaring the amount of effort to brute-force (as to exactly why that is, ask a cryptographer, I can sorta see it but not explain it).
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What I'd like to see is a graph of bucks-per-bits (i.e., how many $ does it take to brute-force a 96-bit key, and so on?).
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