#19531: Add conversion from fields to binary-like strings
-------------------------------------------------+-------------------------
Reporter: tgagne | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.10
Component: finite rings | Resolution:
Keywords: finite field, hex strings, | Merged in:
binary strings | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
-------------------------------------------------+-------------------------
Comment (by nbruin):
Replying to [comment:7 jdemeyer]:
> The finite field:
> {{{
> sage: K.<a> = GF(2^8)
> sage: K[9]
> a^3 + 1
> sage: K[0x9]
> a^3 + 1
> }}}
Uh ... what? Where does this enumeration order on K come from? I think you
mean the element for which the coefficient vector with respect to the
power basis on a corresponds to the bit vector corresponding to the binary
representation of the index, but that requires further adaptations. Surely
we'd need it to bring agreement with
{{{
sage: list(GF(2^8,name="a"))[9]
a^5 + a^4 + a^3 + a
}}}
which seems motivated by
{{{
sage: K.<a> = GF(2^8)
sage: L=list(K)
sage: M= [0] + [a^i for i in [1..255]]
sage: L==M
True
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/19531#comment:8>
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 unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
