Find all sets of orthogonal vectors from a given vector space

Question

I am on a lookout for a method to obtain all possible sets of orthogonal vectors from some known vector space where the field is $F_2$,i.e. binary. Does there exist any such method. I tried looking up the net but in vain. I know that one of the set can be obtained by considering the basis of the space and then using Gram Schimdt orthogonalization. But is there any method to obtain all the sets?