Please see this Function :
def D_f_a(f,G):
ABX_Array = []
for c in G:
for x in G:
b = f(x+c)-f(x)
print("b : ",b)
ABX_Array.append((c,b,x))
return ABX_Array
#///////////////////////////////////////////////
If calling that with f(x) = x**3 and G = GF(4,'a') ,
You will see b = -1 for any x,c
and this b is not in G.list() !
How can get b in G.list? Is there any function for example
"G.iner(f(x+c)-f(x))" that doing that mind ?
Thx,
On Sat, Jun 18, 2011 at 8:36 AM, Tom Boothby <[email protected]>wrote:
> Looks to me like you haven't explicitly defined a, so it's implicitly
> defined as in var('a'). Instead,
>
> sage: f(x) = x
> sage: G = GF(4,'a')
> sage: a = G.gen()
> sage: f(a) - f(a+1)
> 1
>
> On Sat, Jun 18, 2011 at 8:07 AM, Yaser Abbasi <[email protected]>
> wrote:
> > Hi,
> >
> > According to this function, Is there any function in sage that
> > element b {"b = f(x+a) - f(x)} on GF(p^n) (p is prime) must be into
> > G,
> > For example :
> >
> > f(x) = x
> > G = GF(2^2,'a')
> > G.list() = {0,1,a,a+1}
> > then f(a) - f(a+1) = -1 !!!! must be one of {0,1,a,a+1}
> >
> >
> >
> >
> > Thx,
> >
> > --
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> > URL: http://www.sagemath.org
> >
>
> --
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--
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Yaser Abbasi
AUT university
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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