Open zimmermann6 opened 14 years ago
any progress on the isomorphism between finite fields?
Paul
Replying to @zimmermann6:
any progress on the isomorphism between finite fields?
Paul
See #8335
If anything has to be done here, it should definitely be after #8335 gets in indeed.
I guess here would be the place to craft a super fast system for "general" finite fields once #8335 and #11938 are done.
Some references:
Link to Allombert paper:
Rains communicated me its work.
So I guess I now have all that is needed to begin coding.
Replying to @jpflori:
Link to Allombert paper:
Since he is a lead developer of pari and says in the paper that he has implemented his algorithm in pari, can we not just use that implementation by wrapping it?
Rains communicated me its work.
So I guess I now have all that is needed to begin coding.
Replying to @JohnCremona:
Replying to @jpflori:
Link to Allombert paper:
Since he is a lead developer of pari and says in the paper that he has implemented his algorithm in pari, can we not just use that implementation by wrapping it?
Of course, but that will not give us "lattices of compatible finite fields".
The way I see it, we should get the following tickets merged in that order:
Rains communicated me its work.
So I guess I now have all that is needed to begin coding.
Replying to @jpflori
Since it has been mentioned in the tickets related to this one, here's some more literature (by Doliskani, Schost and myself):
...still quite far from the complete picture.
Changed keywords from none to sd51
any progress on this ticket?
Not on my side... We've been indenpendently working on computation of embeddings with Luca and others at:
Here is PARI/GP commit:
I noticed the following with Sage 4.3.5:
This is ok since indeed a=x+1 is not in the prime subfield. But:
In this case b=1 is in the prime subfield!!!
Side question: is there a (simple) way to get the isomorphism between R and R2?
CC: @JohnCremona @jpflori @defeo @pjbruin
Component: basic arithmetic
Keywords: sd51
Issue created by migration from https://trac.sagemath.org/ticket/8751