#10971: Finite Field elements in terms of powers of a generator
----------------------------+-----------------------------------------------
Reporter: aly.deines | Owner: joyner
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.0
Component: group theory | Keywords: GF, finite field
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
----------------------------+-----------------------------------------------
For large values of q, a prime power, GF(q) has elements represented as
polynomials over a generator.
sage: F.<a> = GF(2^8)
sage: a^10
a^6 + a^5 + a^4 + a^2
If you further want to compute in a polynomial ring over F, then the
polynomials aren't very pretty as they are polynomials with polynomial
coefficients.
sage: R.<x> = F[]
sage: a^10*x+1
(a^6 + a^5 + a^4 + a^2)*x + 1
It would be nice to be able to be able to print and work with the elements
as powers of the generator.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10971>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
