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Article #1049

Re: pgp2.0 - what is an appropriate key length?

#1049
From: Robert Marti
Date: Tue, 29 Sep 1992 07:43
18 lines
1456 bytes
In article <1992Sep28.160834.5578@neptune.inf.ethz.ch>, I wrote
in connection with the RSA public key system:

|> The function returns the secret (private) exponent d which is
|> the multiplicative inverse of e in the finite field of numbers
|> in the range [0,(p-1)(q-1)-1].

Before anyone else points this out to me: the integers in the
range [0,(p-1)(q-1)-1] are of course not a field (since the
modulus is not a prime number) but only a ring.  However, e is
"constructed" in such a way that a multiplicative inverse modulo
(p-1)(q-1) exists.

-- 
Robert Marti                    |  Phone:    +41 1 254 72 60
Informationssysteme             |  FAX:      +41 1 262 39 73
ETH-Zentrum                     |  E-Mail:   marti@inf.ethz.ch
CH-8092 Zurich, Switzerland     |
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Message-ID: <1992Sep29.074332.16425@neptune.inf.ethz.ch>
Path: arc1-ca.pugleaf.net!sparky!uunet!usc!elroy.jpl.nasa.gov!swrinde!gatech!darwin.sura.net!Sirius.dfn.de!chx400!bernina!neptune!nugget.inf.ethz.ch!marti
References: <1992Sep25.191759.25545@nevada.edu> <1992Sep28.160834.5578@neptune.inf.ethz.ch>

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Newsgroups: sci.crypt,alt.security,alt.security.pgp
Path: arc1-ca.pugleaf.net!sparky!uunet!usc!elroy.jpl.nasa.gov!swrinde!gatech!darwin.sura.net!Sirius.dfn.de!chx400!bernina!neptune!nugget.inf.ethz.ch!marti
From: marti@nugget.inf.ethz.ch (Robert Marti)
Subject: Re: pgp2.0 - what is an appropriate key length?
Message-ID: <1992Sep29.074332.16425@neptune.inf.ethz.ch>
Sender: news@neptune.inf.ethz.ch (Mr News)
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Organization: Dept. Informatik, Swiss Federal Institute of Technology (ETH), Zurich, CH
References:  <1992Sep25.191759.25545@nevada.edu> <1992Sep28.160834.5578@neptune.inf.ethz.ch>
Date: Tue, 29 Sep 1992 07:43:32 GMT
Lines: 18