From 19d1256d02e22184d5f140ebf213f265a7e6a17f Mon Sep 17 00:00:00 2001 From: mdw Date: Sat, 29 Jul 2000 10:01:31 +0000 Subject: [PATCH] Diffie-Hellman parameter generation based on Lim-Lee primes. --- dh-limlee.c | 147 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 147 insertions(+) create mode 100644 dh-limlee.c diff --git a/dh-limlee.c b/dh-limlee.c new file mode 100644 index 0000000..422cf96 --- /dev/null +++ b/dh-limlee.c @@ -0,0 +1,147 @@ +/* -*-c-*- + * + * $Id: dh-limlee.c,v 1.1 2000/07/29 10:01:31 mdw Exp $ + * + * Generate Diffie-Hellman parameters from Lim-Lee primes + * + * (c) 2000 Straylight/Edgeware + */ + +/*----- Licensing notice --------------------------------------------------* + * + * This file is part of Catacomb. + * + * Catacomb is free software; you can redistribute it and/or modify + * it under the terms of the GNU Library General Public License as + * published by the Free Software Foundation; either version 2 of the + * License, or (at your option) any later version. + * + * Catacomb is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Library General Public License for more details. + * + * You should have received a copy of the GNU Library General Public + * License along with Catacomb; if not, write to the Free + * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, + * MA 02111-1307, USA. + */ + +/*----- Revision history --------------------------------------------------* + * + * $Log: dh-limlee.c,v $ + * Revision 1.1 2000/07/29 10:01:31 mdw + * Diffie-Hellman parameter generation based on Lim-Lee primes. + * + */ + +/*----- Header files ------------------------------------------------------*/ + +#include "dh.h" +#include "limlee.h" +#include "mpmont.h" +#include "prim.h" + +/*----- Main code ---------------------------------------------------------*/ + +/* --- @dh_limlee@ --- * + * + * Arguments: @dh_param *dp@ = pointer to output parameter block + * @unsigned ql@ = length of smallest factor of %$(p - 1)/2$% + * @unsigned pl@ = length of %$p$% in bits + * @unsigned flags@ = other generation flags + * @unsigned steps@ = number of steps to go + * @grand *r@ = random number source + * @pgen_proc *oev@ = outer event handler function + * @void *oec@ = argument for the outer event handler + * @pgen_proc *iev@ = inner event handler function + * @void *iec@ = argument for the inner event handler + * @size_t *nf@, @mp ***f@ = output array for factors + * + * Returns: @PGEN_DONE@ if it worked, @PGEN_ABORT@ if it didn't. + * + * Use: Generates Diffie-Hellman parameters based on a Lim-Lee prime. + * + * The modulus is a large prime %$p = 2 \prod q_i + 1$%, @pl@ + * bits long, where the %$q_i$% are smaller primes each at least + * @ql@ bits long. It is safe to set @nf@ and @f@ to zero if + * you're not interested in the factor values. + * + * The returned %$g$% generates a subgroup of order %$q_0$% (the + * first factor, returned as @f[0]@), if the flag @DH_SUBGROUP@ + * is set on entry; otherwise %$g$% will have order + * %$(p - 1)/2$%. + */ + +int dh_limlee(dh_param *dp, unsigned ql, unsigned pl, + unsigned flags, unsigned steps, grand *r, + pgen_proc *oev, void *oec, pgen_proc *iev, + void *iec, size_t *nf, mp ***f) +{ + mp **ff; + size_t nff; + prim_ctx pc; + size_t i; + int j; + mp *pp; + + /* --- Generate the Lim-Lee prime --- */ + + if ((dp->p = limlee("p", MP_NEW, MP_NEW, ql, pl, + r, steps, oev, oec, iev, iec, &nff, &ff)) == 0) + return (PGEN_FAIL); + dp->q = mp_copy(ff[0]); + + /* --- Now find a primitive element --- */ + + mpmont_create(&pc.mm, dp->p); + pp = mp_sub(MP_NEW, dp->p, MP_ONE); + if (flags & DH_SUBGROUP) { + pc.exp = MP_NEW; + mp_div(&pc.exp, 0, pp, dp->q); + pc.n = 0; + pc.f = 0; + } else { + pc.exp = MP_TWO; + pc.n = nff; + pc.f = xmalloc(nff * sizeof(mp *)); + for (i = 0; i < nff; i++) { + pc.f[i] = MP_NEW; + mp_div(&pc.f[i], 0, pp, ff[i]); + } + } + + j = 0; + dp->g = pgen("g", MP_NEW, MP_NEW, oev, oec, + 0, prim_step, &j, 1, prim_test, &pc); + + mp_drop(pp); + if (pc.f) { + for (i = 0; i < pc.n; i++) + mp_drop(pc.f[i]); + xfree(pc.f); + } + mpmont_destroy(&pc.mm); + + /* --- Do something sensible with the list of primes --- */ + + if (dp->g && f) { + *f = ff; + *nf = nff; + } else { + for (i = 0; i < nff; i++) + mp_drop(ff[i]); + xfree(ff); + } + + /* --- Tidy up and return --- */ + + if (!dp->g) { + mp_drop(dp->p); + mp_drop(dp->q); + return (PGEN_FAIL); + } + return (PGEN_DONE); +} + +/*----- That's all, folks -------------------------------------------------*/ -- 2.11.0