How to create in Sage system of equations using elements from boolean field?
I want to create a field on 8 elements, and then, using this elements make a System of equations like:
nb = 8
varl = [c+ str(p) for c in 'xy' for p in range (nb)]
B = BooleanPolynomialRing(names = varl)
f1 = x1 + x7*x2
f2 = x4*x6*x8 + x7
and then....
But in this case Sage give me an error NameError: name 'x1' is not defined
And in this case:
f1 = x[3] + x[1]*x[2]
f2 = x[4]*x[6]*x[2] + x[7]
error: TypeError: 'sage.symbolic.expression.Expression' object does not support indexing
Is there any way to create them in Sage?