1. Let be the binary repetition code with parameter [n, k] = [12, 4].
a) Give a generator matrix for that is in standard form. What does standard form means?
b) Give a parity check matrix for that is in standard form.
c) What is the minimum distance of ?
d) What is the minimum distance of ?
e) What is the dimension of ?
f) What is the dimension of ?
g) How many codewords are in ? List them.
h) How many codewords are in ? List them