X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/fcdaa1806c38c703a6e72b87e189396a05d165e4..4739c68a6cb81cae53cd7df694ecd6176d6f11f8:/prim.h

diff --git a/prim.h b/prim.h
index 30392cd..193d058 100644
--- a/prim.h
+++ b/prim.h
@@ -1,6 +1,6 @@
 /* -*-c-*-
  *
- * $Id: prim.h,v 1.1 1999/12/22 15:58:59 mdw Exp $
+ * $Id: prim.h,v 1.3 2004/04/08 01:36:15 mdw Exp $
  *
  * Finding primitive elements
  *
@@ -27,14 +27,6 @@
  * MA 02111-1307, USA.
  */
 
-/*----- Revision history --------------------------------------------------* 
- *
- * $Log: prim.h,v $
- * Revision 1.1  1999/12/22 15:58:59  mdw
- * Search for primitive elements using prime-search equipment.
- *
- */
-
 #ifndef CATACOMB_PRIM_H
 #define CATACOMB_PRIM_H
 
@@ -64,12 +56,20 @@
  *
  * All fields must be configured by the client.  Set @n@ to zero to discover
  * generators of the subgroup of order %$m / f$%.
+ *
+ * Let %$p = \prod q_i + 1$% be a prime number.  In order to find an element
+ * %$g$% with order %$o$%, we choose elements %$h_j$% from %$\gf{p}^*$%,
+ * compute $%g_j = h_j^{p/o}$%, rejecting %$h_j$% where %$g_j = 1$%, and then
+ * for each proper prime factor %$q_i$% of %$p/o$% we check that
+ * %$g^{f_i} \ne 1$%, where the %$f_i$% are cofactors of the %$q_i$%
+ * (%$f_i q_i = p/o$%).
  */
 
 typedef struct prim_ctx {
   mpmont mm;				/* Montgomery context for modulus */
-  mp *f;				/* Array of factors */
-  size_t n;				/* Number of factors */
+  mp *exp;				/* Exponent (%$p/o$%; may be zero) */
+  size_t n;				/* Number of cofactors */
+  mp **f;				/* Array of cofactors */
 } prim_ctx;
 
 /*----- Functions provided ------------------------------------------------*/