If I understand you correctly you want to think of your elements as
belonging to a 5-dimensional vector space (or module rather) over
GF(2)[x], while they are being represented as elements of k[x] where k
is a 5-dimensional extension of GF(2).
It's a common problem: mathematically, adjoining the
Hi David,
I can use R instead of V but in this case I can not take the profit of
the instructions that William has been wrote to represent my
polynomial in Normal basis like "span_of_basis()" and "coordinates()".
So what I ultimately want is that if I write these:
sage: k. = GF(2^5, name='a')
s
On 9/6/07, Ahmad <[EMAIL PROTECTED]> wrote:
>
> Thanks again! I got the idea now. However, there is a problem which
> sticks me in the first stage and if I can solve it so your code work
> as prefect for me. The problem is that the instruction
>
> v(z)
>
> is not strong enough for my popuse. It wo
Thanks again! I got the idea now. However, there is a problem which
sticks me in the first stage and if I can solve it so your code work
as prefect for me. The problem is that the instruction
v(z)
is not strong enough for my popuse. It works prefect when z is in k =
GF(2^5) but it is not working
On 9/4/07, David Joyner <[EMAIL PROTECTED]> wrote:
> > I have to define two functions below in order to
> > do this. If people think something like this would be generally
> > useful, then it could be made "built in" to SAGE:
>
>
> I think it would be nice to have in_terms_of_normal_basis
> (of c
On 9/3/07, William Stein <[EMAIL PROTECTED]> wrote:
>
> On 9/3/07, Ahmad <[EMAIL PROTECTED]> wrote:
> > I'm new to sage and I don't know even if I'm supposed to post such
> > questions to this group or not. If it is a correct place:
> >
> > Could you please tell me how can I change the basis in fi
On 9/4/07, Ahmad <[EMAIL PROTECTED]> wrote:
>
> Thank you very much! These were surprisingly fast replies!
At sagemath.com we aim to please. :-)
> I tried to
> run william's code, but appearently my version of sage does not
> understand padded_list property:
> z.polynomial().padded_list(5)
Yes,
Thank you very much! These were surprisingly fast replies! I tried to
run william's code, but appearently my version of sage does not
understand padded_list property:
z.polynomial().padded_list(5)
sage: z.polynomial().padded_list(5)
On 9/3/07, Ahmad <[EMAIL PROTECTED]> wrote:
> I'm new to sage and I don't know even if I'm supposed to post such
> questions to this group or not. If it is a correct place:
>
> Could you please tell me how can I change the basis in finite field
> representation. As much as know sage represent the
This is the right place but I don't think what you want is implemented.
The commands and examples are here:
http://www.sagemath.org/doc/html/ref/module-sage.rings.finite-field.html
It would be some work but possibly you could do what you could in SAGE,
then use GAP's NormalBase command?
http://ww
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