That means the basis is an empty list. I can see how the empty list spans the space (Basically, linear combinations of nothing are equal to $0$) but I don't see what it means for the empty list to be linearly independent. This is the definition of linear independence I am familiar with:
If $a_1v_1+...+a_mv_m = 0$ then $a_1 = ... = a_m = 0$
That definition does not seem to be applicable for an empty list of vectors. I assume you solve that problem with a better definition of linear independence.
Bonus: Is there a name for the vector space that contains only the zero vector?