- % MATLAB script for Illustrative Problem 8.8.
- % Generate U, denoting all information sequences.
- k=4;
- for i=1:2^k
- for j=k:-1:1
- if rem(i-1,2^(-j+k+1))>=2^(-j+k)
- u(i,j)=1;
- else
- u(i,j)=0;
- end
- echo off ;
- end
- end
- echo on ;
- % Define G, the generator matrix.
- g=[1 0 0 1 1 1 0 1 1 1;
- 1 1 1 0 0 0 1 1 1 0;
- 0 1 1 0 1 1 0 1 0 1;
- 1 1 0 1 1 1 1 0 0 1];
- % Generate codewords.
- c=rem(u*g,2);
- % Find the minimum distance.
- w_min=min(sum((c(2:2^k,:))'));