Vectorspace set as dimension I encountered some notation in my mathematics exercises which I couldn't make sense of and couldn't find on the internet.
Usually, a vector space is written like this: $K^n$. For example, $\mathbb{R}^3$ tells me that my vector space consists of vectors with three entries, each being a real number.
The notation I encountered is this: $F_2^M$. I know what $F_2$ is (only 1 and 0 are in $F_2$). But M is given to be a set. So this cannot mean that I have vectors with M entries each being in $F_2$.
So can anyone tell me what this notation means? Thank you!

It might mean the set of all functions $M \to F_2$, which does have a vector space structure: $(f+g)(m) = f(m) + g(m)$ and $(\lambda f)(m) = \lambda f(m)$.
