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Article #1874

Re: A Copper Balloon

#1874
From: denning
Date: Wed, 18 Nov 1992 20:10
14 lines
1311 bytes
In article <1ecnkuINNbut@gap.caltech.edu>, hal@cco.caltech.edu (Hal Finney) writes:
> Could someone explain how three people (e.g. two plus the phone company)
> generate a session key "in the style of DH"?  I don't see how Diffie-
> Hellman generalizes naturally to three participants.  Thanks.
> 
Imagine that the 3 parties are in a circle.  Each generates a random x
and computes y = a^x mod p for a given "a" and prime p.  All three 
parties pass their y values to the right.  Using their received value 
of y, they compute z = y^x mod p and pass that to the right.  Finally, 
using their received values of z, they compute the shared session key
k = z^x mod p, which will be "a" raised to all three exponents.

Dorothy Denning
denning@cs.georgetown.edu
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Message-ID: <1992Nov18.151034.1799@guvax.acc.georgetown.edu>
Path: arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!sgiblab!darwin.sura.net!guvax.acc.georgetown.edu!denning
References: <1992Nov7.142220.1683@guvax.acc.georgetown.edu> <BxKLDM.Mss@sneaky.lonestar.org> <1992Nov17.082637.1780@guvax.acc.georgetown.edu> <1ecnkuINNbut@gap.caltech.edu>

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From: denning@guvax.acc.georgetown.edu
Newsgroups: sci.crypt
Subject: Re: A Copper Balloon
Message-ID: <1992Nov18.151034.1799@guvax.acc.georgetown.edu>
Date: 18 Nov 92 15:10:34 -0500
References: <1992Nov7.142220.1683@guvax.acc.georgetown.edu> <BxKLDM.Mss@sneaky.lonestar.org> <1992Nov17.082637.1780@guvax.acc.georgetown.edu> <1ecnkuINNbut@gap.caltech.edu>
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Organization: Georgetown University
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