Dear Emmanuel,
Thank, ... one last question ... How I will be able to extract the
coefficients of t^0,t^1,...,t^(p-1)
2014-08-18 5:49 GMT-03:00 Emmanuel Charpentier <
emanuel.charpent...@gmail.com>:
> If I follow your cpde correctly, you are working on polynoms in X0,..,X3.
> What you attempt to create would be a polynom in x00,..,x03,x10..x33.
>
> Doubleplusungood...
>
> You should probaby use expressions in SR and cast the resultant expression
> in the ring of polynoms in x00,..x33.
>
> BTW, you don't have to loop on your substitution : create a dictionary.
>
> This gives :
>
> p = 3
> k.<t> = GF(2^p)
> nvars = 4
> vars_GF = []
> vars_gf2 = []
> vars_gf2subs = []
> l = 0
> for i in range(nvars):
> vars_GF.append(var("X"+str(i)))
> sum1 = 0
> for j in range(p):
> vars_gf2.append(var("x"+str(i)+str(j)))
> sum1 = sum1 + vars_gf2[i*p+j]*(t^j)
> l = l + 1
> vars_gf2subs.append(sum1)
> PR = PolynomialRing(k, nvars, names = vars_GF)
> p = PR.random_element(degree=2)
> Dic={vars_GF[i]:vars_gf2subs[i] for i in range(nvars)}
> PR2=PolynomialRing(k, nvars*p, names = vars_gf2)
> p2=PR2(SR(p).subs(Dic))
>
> p2 might or might not be what you want.
>
> There are probably more steamlined ways to accomplish what you want, but
> I'm only discovering Sage...
>
> HTH,
>
> --
> Emmanuel Charpentier
>
> Le lundi 18 août 2014 07:18:26 UTC+2, juaninf a écrit :
>
>> Dears members I need doing substitution of values vars_gf2subs in vars_GF
>> variables on p polynomial. I'm trying p.subs(vars_GF[i]=vars_gf2subs[i])
>> bu tI get error. How I will be able to doing that?
>>
>> p = 3
>> k.<t> = GF(2^p)
>> nvars = 4
>> vars_GF = []
>> vars_gf2 = []
>> vars_gf2subs = []
>> l = 0
>> for i in range(nvars):
>> vars_GF.append(var("X"+str(i)))
>> sum1 = 0
>> for j in range(p):
>> vars_gf2.append(var("x"+str(i)+str(j)))
>> sum1 = sum1 + vars_gf2[i*p+j]*(t^j)
>> l = l + 1
>> vars_gf2subs.append(sum1)
>>
>> PR = PolynomialRing(k, nvars, names = vars_GF)
>> p = PR.random_element(degree=2)
>> for i in range(nvars):
>> print vars_GF[i]
>> p.subs(vars_GF[i]=vars_gf2subs[i])
>>
>> --
>> ---------------------------------------------------------------------
>> MSc. Juan del Carmen Grados Vásquez
>> Laboratório Nacional de Computação Científica
>> Tel: +55 21 97633 3228
>> (http://www.lncc.br/)
>> http://juaninf.blogspot.com
>> ---------------------------------------------------------------------
>>
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--
---------------------------------------------------------------------
MSc. Juan del Carmen Grados Vásquez
Laboratório Nacional de Computação Científica
Tel: +55 21 97633 3228
(http://www.lncc.br/)
http://juaninf.blogspot.com
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