> sage:
> F.=GF(2^8,name='x',modulus=z^8+z^4+z^3+z^2+1,check_irreducible=False)
> sage: F
> Finite Field in x of size 2^8
> sage: F.polynomial()
> x^8 + x^4 + x^3 + x^2 + 1
>
> Andrzej Chrzeszczyk
In this case sage does not complaint, but check_irreducible is not
intended for this use, but to avoi
... thanks, by your attention, I am reading a documentation to Implement
Galois Field in other place, ...
and declare in C this
static unsigned prim_poly[MAX_EXT_DEG + 1] = {◦1 , ◦3 ,
/∗ not used ∗/
◦7 , ◦13 , ◦23 , ◦45 , ◦103 , ◦203 , ◦435 , ◦1041 , ◦2011 , ◦4005 , ◦10123
, ◦20033 , ◦42103 , ◦10
On Dec 12, 1:08 am, achrzesz wrote:
> On Dec 12, 12:47 am, achrzesz wrote:
>
>
>
> > On Dec 12, 12:41 am, Juan Grados wrote:
>
> > > but when I put this polynomial x^8+x^7+x^4+x^3+x+1 I get ValueError:
> > > finite field modulus must be irreducible but it is not
>
> > > 2011/12/11 achrzesz
>
On Dec 12, 12:47 am, achrzesz wrote:
> On Dec 12, 12:41 am, Juan Grados wrote:
>
>
>
> > but when I put this polynomial x^8+x^7+x^4+x^3+x+1 I get ValueError:
> > finite field modulus must be irreducible but it is not
>
> > 2011/12/11 achrzesz
>
> > > On Dec 12, 12:10 am, juaninf wrote:
> > >
On Dec 12, 12:41 am, Juan Grados wrote:
> but when I put this polynomial x^8+x^7+x^4+x^3+x+1 I get ValueError:
> finite field modulus must be irreducible but it is not
>
> 2011/12/11 achrzesz
>
>
>
>
>
> > On Dec 12, 12:10 am, juaninf wrote:
> > > Hi everybody
>
> > > I want choose different
but when I put this polynomial x^8+x^7+x^4+x^3+x+1 I get ValueError:
finite field modulus must be irreducible but it is not
2011/12/11 achrzesz
>
>
> On Dec 12, 12:10 am, juaninf wrote:
> > Hi everybody
> >
> > I want choose different minimal polynomial to build a Galois Field
> > 2^m, how?
>
On Dec 12, 12:31 am, achrzesz wrote:
> On Dec 12, 12:10 am, juaninf wrote:
>
>
>
> > Hi everybody
>
> > I want choose different minimal polynomial to build a Galois Field
> > 2^m, how?
>
> > For example: m = 8
>
> > sageF.=GF(2^8)
> > sage:print a.minpoly()
> > I get ...
> > x^8 + x^4 + x^3 + x
On Dec 12, 12:10 am, juaninf wrote:
> Hi everybody
>
> I want choose different minimal polynomial to build a Galois Field
> 2^m, how?
>
> For example: m = 8
>
> sageF.=GF(2^8)
> sage:print a.minpoly()
> I get ...
> x^8 + x^4 + x^3 + x^2 + 1
> but I want now other polynomial for example
> x^8+x^7
