On 13-Feb-08, at 6:06 AM, John Cremona wrote:

>
> I just discovered sage.rings.arith.discrete_log_generic(), not until
> after implementing a similar function for elliptic curves over finite
> fields (patch to be submitted before too long).  I thought it was a
> pity that we cannot apparently use the same code for dlogs in an
> additive group (as in what I just wrote) and a multiplcative one (as
> in discrete_log_generic()).  Could we?

At this time, not easily.  Some of the categorical work initiated at  
SD7 could help with this.  The relevant instigator is Nicholas Thiery  
and the implementors are, at this time, Robert Bradshaw, David Roe,  
and Mike Hansen.  (Apologies if I added/dropped anyone.)

> Also, in the code for sage.rings.arith.discrete_log_generic(), which I
> see was written by WIlliam and David Joyner in prehistoric times
> (2005-01-05 must be before the first ever reease of Sage!)  there is
> an inefficiency in using an array for g instead of a dict.  Shall I
> write a patch for that?

Please do.

Nick

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