[GAP Forum] subspace spanned by random subset (of finite field over subfield)

[Max Horn]

Hello again,

there were (at least) two mistakes in my email:

1) This

> Dear

should of course have been

 "Dear Frédéric"

Sorry! Secondly, as Stefan Kohl pointed out,

[...]

> 
> Decomposing w^5 with respect to this basis:

Here, I meant w^6 (and that is what the example code below does).


Cheers,
Max

> 
> gap> Coefficients(Basis(W), w^6);
> [ Z(3)^0, Z(3)^0, Z(3), 0*Z(3), Z(3)^0, 0*Z(3) ]
> 
> We verify this:
> 
> gap> w^0 + w - w^2 + w^4 = w^6;
> true
> 
> 
> Hope that helps,
> Max
> 
>> 
>> Thanks in advance,
>> Kind regards,
>> Frédéric
>> 
>> 
>> 
>> 
>> 
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