All combinations of binary matrix

I'm trying to use matlab to generate all the possible codes for a generator matrix. However, for arbitrary size, putting in each code becomes cumbersome:

G = [1 0 0 0 0 1 1; 0 1 0 0 1 0 1; 0 0 1 0 1 1 0; 0 0 0 1 1 1 1]
[0 0 0 0] * G
[0 0 0 1] * G
...

Is there a way to do this programmatically? I suspect some sort of for loop, but there may be a builtin for this that I'm unaware of.

Answer 1

[Jos (10584)]

G = [1 0 0 0 0 1 1; 0 1 0 0 1 0 1; 0 0 1 0 1 1 0; 0 0 0 1 1 1 1]
C = permn([0 1],size(G,1)) 
R = C * G

PERMN can be downloaded from the File Exchange

https://uk.mathworks.com/matlabcentral/fileexchange/7147-permn-v--n--k-