Question on coding, syndomes, etc.
The question is:
A group code has a generator matrix:
1 0 0 1 0 0 1
0 1 0 0 1 1 0
0 0 1 0 1 0 1
List the codewords and state how many errors are detected and how many are corrected by this code, giving reasons for your answers.
Write down the parity check matrix and a table of syndromes for this code for all possible single digit errors in transmission
How do I do this? I can see that the first three rows and columns is a 3 x 3 identity matrix but I can't remember what this has to do with anything. Please can you help me on this question.
Thank you :)