#8212: arithmetic on GF(2^n) might be improved
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Reporter: zimmerma | Owner: zimmerma
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-4.3.3
Component: basic arithmetic | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by ylchapuy):
Replying to [comment:7 zimmerma]:
> > Another ticket should probably be opened to add some consistency.
>
> I'm not sure we can let this patch in, which might break some code doing
> {{{T.<a> = GF(q, modulus='conway')}}}. If the limit for smaller fields
is
> documented somewhere, I suggest you disable the new options in that
case,
> and document it in GF?.
This won't break anything because the option modulus='conway' is new as
well.
The limit for the different implementations is documented at the begining
of the file finite_field.py
(see http://www.sagemath.org/doc/reference/sage/rings/finite_field.html )
Finally, I opened another ticket (#8220) you might review after this one:
* it cleans the code and the documentation for finite field creation;
* modulus = 'conway' and modulus = 'random' are available for all
implementations;
* modulus = 'minimal_weight' is available for all binary fields;
* it adds modulus = 'first_lexicographic' for all binary fields.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8212#comment:8>
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