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Article #418

Re: RSA Public Key Generations.

#418
From: Ari Juhani Huttunen
Date: Mon, 03 Aug 1992 00:22
26 lines
1857 bytes
In article <1992Aug2.145532.4657@linus.mitre.org> bs@faron.mitre.org (Robert D. Silverman) writes:

! Select an inteval(s) near the size you want, e.g. 10^100. (and say 10^102)
! Sieve out composites divisible by small primes.
! Select two strong probable primes p & q such that p-q is reasonably
! large (at least 10^25). [This defeats difference of squares methods].
! ECM makes restrictions on p-1 and q-1 useless.

A recipe for RSA-keys:
	- Take the 10-sided dice from a Dungeons&Dragons package.
	- Throw it 100 times to get p1, then 102 times to get q1.
	(Now you have truly random numbers, not pseudo-random.)
	- Tell Mathematica version 2 the following:
		p = p1
		q = q1
		While[!PrimeQ[p], p++]
		While[!PrimeQ[q], q++]

It will only take a minute or two depending on your computer. For 
added security you could use numbers around 150 digits. Even that wouldn't
take very long (tested). Sounds a good way to pass time. Perhaps I'll do it the
next time I get bored.
--
...............................................................................
Ari Huttunen                                         You don't miss water
                                                       until the well runs dry.
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Message-ID: <ARI.HUTTUNEN.92Aug3022225@silver-surfer.hut.fi>
Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!fuug!funic!news.cs.hut.fi!news!Ari.Huttunen
References: <avalon.712399566@coombs> <1992Jul29.214014.4507@msuinfo.cl.msu.edu> <skyhawk.712690763@milton> <1992Aug2.145532.4657@linus.mitre.org>

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Newsgroups: sci.crypt
Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!fuug!funic!news.cs.hut.fi!news!Ari.Huttunen
From: Ari.Huttunen@hut.fi (Ari Juhani Huttunen)
Subject: Re: RSA Public Key Generations.
In-Reply-To: bs@faron.mitre.org's message of Sun, 2 Aug 1992 14:55:32 GMT
Message-ID: <ARI.HUTTUNEN.92Aug3022225@silver-surfer.hut.fi>
Sender: usenet@cs.hut.fi (Uutis Ankka)
Organization: Helsinki University of Technology, Finland
References: <avalon.712399566@coombs> <1992Jul29.214014.4507@msuinfo.cl.msu.edu>
 <skyhawk.712690763@milton> <1992Aug2.145532.4657@linus.mitre.org>
Date: Mon, 3 Aug 1992 00:22:25 GMT
Lines: 26