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Hi all,

Assume I have a vector space with coefficients from a finite extension field. How can I make the sub space spanned by vectors over that extension field but with coefficients from the base field? When I do something like this:

F = GF(2) FF. = F.extension(4) VS = VectorSpace(FF, 6)

Hi all,

Assume I have a vector space with coefficients from a finite extension field. How can I make the sub space spanned by vectors over that extension field but with coefficients from the base field? When I do something like this:

F = GF(2) FF. = F.extension(4) VS = VectorSpace(FF, 6)

Hi all,

Assume I have a vector space with coefficients from a finite extension field. How can I make the sub space spanned by vectors over that extension field but with coefficients from the base field? When I do something like this:

sage: F = GF(2)
FF. sage: FF.<a> = F.extension(4)
sage: VS = VectorSpace(FF, 6)
 
6)
sage: span([VS.random_element() for i in range(3)], F) 
F)