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Diffstat (limited to 'drivers/builtin_openssl/crypto/dh/generate')
-rw-r--r-- | drivers/builtin_openssl/crypto/dh/generate | 65 |
1 files changed, 0 insertions, 65 deletions
diff --git a/drivers/builtin_openssl/crypto/dh/generate b/drivers/builtin_openssl/crypto/dh/generate deleted file mode 100644 index 5d407231df..0000000000 --- a/drivers/builtin_openssl/crypto/dh/generate +++ /dev/null @@ -1,65 +0,0 @@ -From: stewarts@ix.netcom.com (Bill Stewart) -Newsgroups: sci.crypt -Subject: Re: Diffie-Hellman key exchange -Date: Wed, 11 Oct 1995 23:08:28 GMT -Organization: Freelance Information Architect -Lines: 32 -Message-ID: <45hir2$7l8@ixnews7.ix.netcom.com> -References: <458rhn$76m$1@mhadf.production.compuserve.com> -NNTP-Posting-Host: ix-pl4-16.ix.netcom.com -X-NETCOM-Date: Wed Oct 11 4:09:22 PM PDT 1995 -X-Newsreader: Forte Free Agent 1.0.82 - -Kent Briggs <72124.3234@CompuServe.COM> wrote: - ->I have a copy of the 1976 IEEE article describing the ->Diffie-Hellman public key exchange algorithm: y=a^x mod q. I'm ->looking for sources that give examples of secure a,q pairs and ->possible some source code that I could examine. - -q should be prime, and ideally should be a "strong prime", -which means it's of the form 2n+1 where n is also prime. -q also needs to be long enough to prevent the attacks LaMacchia and -Odlyzko described (some variant on a factoring attack which generates -a large pile of simultaneous equations and then solves them); -long enough is about the same size as factoring, so 512 bits may not -be secure enough for most applications. (The 192 bits used by -"secure NFS" was certainly not long enough.) - -a should be a generator for q, which means it needs to be -relatively prime to q-1. Usually a small prime like 2, 3 or 5 will -work. - -.... - -Date: Tue, 26 Sep 1995 13:52:36 MST -From: "Richard Schroeppel" <rcs@cs.arizona.edu> -To: karn -Cc: ho@cs.arizona.edu -Subject: random large primes - -Since your prime is really random, proving it is hard. -My personal limit on rigorously proved primes is ~350 digits. -If you really want a proof, we should talk to Francois Morain, -or the Australian group. - -If you want 2 to be a generator (mod P), then you need it -to be a non-square. If (P-1)/2 is also prime, then -non-square == primitive-root for bases << P. - -In the case at hand, this means 2 is a generator iff P = 11 (mod 24). -If you want this, you should restrict your sieve accordingly. - -3 is a generator iff P = 5 (mod 12). - -5 is a generator iff P = 3 or 7 (mod 10). - -2 is perfectly usable as a base even if it's a non-generator, since -it still covers half the space of possible residues. And an -eavesdropper can always determine the low-bit of your exponent for -a generator anyway. - -Rich rcs@cs.arizona.edu - - - |