Article View: sci.crypt
Article #1796Re: Cryptography and P=NP
From: Carl Ellison
Date: Mon, 16 Nov 1992 23:05
Date: Mon, 16 Nov 1992 23:05
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In article <PHR.92Nov15203840@napa.telebit.com> phr@telebit.com (Paul Rubin) writes: >It is true that if P=NP then all cryptography everywhere (not just RSA) >is dead This isn't true. You don't have to have an algorithm whose inversion is in NP to have it be unbreakable. All you need is a lower bound on the power of the security parameter. Ie., if the space-time required to break some algorithm is guaranteed of order at least k^5, then you know how big to choose k so that a computer using all the atoms of the universe would take billions of years to do the inversion. Of course, I'm told that that's a problem perhaps as hard as P=?NP. -- -- <<Disclaimer: All opinions expressed are my own, of course.>> -- Carl Ellison cme@sw.stratus.com -- Stratus Computer Inc. M3-2-BKW TEL: (508)460-2783 -- 55 Fairbanks Boulevard ; Marlborough MA 01752-1298 FAX: (508)624-7488
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Path: arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!sgiblab!zaphod.mps.ohio-state.edu!pacific.mps.ohio-state.edu!linac!att!bu.edu!transfer.stratus.com!ellisun.sw.stratus.com!cme From: cme@ellisun.sw.stratus.com (Carl Ellison) Newsgroups: sci.crypt,sci.math,comp.theory Subject: Re: Cryptography and P=NP Message-ID: <1e99gaINNnmp@transfer.stratus.com> Date: 16 Nov 92 23:05:46 GMT References: <1992Nov15.110945.19939@ringer.cs.utsa.edu> <PHR.92Nov15203840@napa.telebit.com> Distribution: inet Organization: Stratus Computer, Software Engineering Lines: 22 NNTP-Posting-Host: ellisun.sw.stratus.com