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Article #3325

Re: Security of RSA and factoring

#3325
From: Jim Gillogly
Date: Wed, 14 Jan 1987 20:00
22 lines
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in article <9054@duke.duke.UUCP>, srt@duke.UUCP (Stephen R. Tate) says:
> 
> The point about RSA is that if you can break the code, you can get
> the factorization of the key (this is easy to do).  Therefore, it is
> obviously equivalent in difficulty to factoring.

The security of an RSA scheme also depends on how the "secret" primes were
selected.  The company supplying RSA encryption would certainly offer a
way to select primes, since most people won't be able to do it themselves.
For example, they might say "type a password that you select totally at
random, such as your wife's first name or your favorite rock group" and
then replicate that totally random password to get two different 100-digit
odd numbers.  From there count by twos, testing each number for primality
(easy), and stop when you have your two totally secret 100-digit primes.

I'd expect any scheme to offer an easy way to select your secret primes,
and breaking that is not necessarily equivalent to factoring the public key.

-- 
	Jim Gillogly
	{hplabs, ihnp4}!sdcrdcf!randvax!jim
	jim@rand-unix.arpa
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Path: arc1-ca.pugleaf.net!utzoo!mnetor!seismo!rutgers!ucla-cs!sdcrdcf!randvax!jim
References: <9041@duke.duke.UUCP> <4205@columbia.UUCP> <9054@duke.duke.UUCP>

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Path: arc1-ca.pugleaf.net!utzoo!mnetor!seismo!rutgers!ucla-cs!sdcrdcf!randvax!jim
From: jim@randvax.UUCP (Jim Gillogly)
Newsgroups: sci.crypt
Subject: Re: Security of RSA and factoring
Message-ID: <163@iris.randvax.UUCP>
Date: Wed, 14-Jan-87 15:00:09 EST
Article-I.D.: iris.163
Posted: Wed Jan 14 15:00:09 1987
Date-Received: Fri, 16-Jan-87 02:27:56 EST
References: <9041@duke.duke.UUCP> <4205@columbia.UUCP> <9054@duke.duke.UUCP>
Reply-To: jim@iris.UUCP (Jim Gillogly)
Organization: Banzai Institute
Lines: 22