Re: Crack DES in 3.5 hours for only $1,500,000!
Oho! I now suspect why RC2 and RC4 must remain trade-secret...NSA doesn't want people to know what particular internal algorithm features their brute-force chips are capable of handling! I recall the discussion of how RC2/4 were invented; NSA told the designer (since identified as Ron Rivest): "No, this is too big; weaken this over here; do fewer rounds here; etc..." What resulted was suitable for NSA brute-force using chips they had readily available. It's possible that simple changes to the algorithm would render it much less penetrable by NSA's current hardware. Ron even knows *which* changes, and I encourage him to tell us. I'll let Rivest speak for himself about NSA's influence -- but I've spoken to cryptographers who've seen the algorithm (under non-disclosure agreements), and they say that RC2 and RC4 are quite strong *if* you use a long enough key. They're algorithms with variable-length keys, and their strength -- and not just their resistance to exhaustive search -- is related to the key size used. The gotcha is that only the 40-bit version is exportable. But we don't need stories about weakened algorithms to know that NSA can crack 40-bit RC2/4; they'd never have granted a license otherwise. (And what does that tell us about 512-bit RSA?) One more point -- it's been claimed that RC2 and RC4 have an inherently- slow key setup mechanism. That can slow down brute-force attacks tremendously, since it then takes a long time to try each case. But it's fine for point-to-point encryptions, where you can amortize that overhead over many messages. --Steve Bellovin
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smb@research.att.com