Generate Bit Vectors of given Properties

The task is about generating a list D(m,h,k,S) of all bit vectors of type e.g., :

bit length: m = 5
number of 1's: h = 2
fixed 0 at pos: k = 3
set op positions where ''neighbours' must be 1 if 0 : S = {1}

In this particular instance of these set parameters we'd get

D(m, h, k, S) = 10010, 00110, 00011, 00101}.

Kindly check the concrete description in
https://colab.research.google.com/drive/1vTsGhmU1vgY0U2wYXKDe_AnMWD__fUDX?usp=sharing
.

After this task, I'd have some follow ups to be done.


Best regards