Hamming code #4
Consider the Hamming code defined by the parity-check matrix of Figure E7.8 (note that the columns of H are organized in increasing order of the corresponding decimal values, that is, H = [1 2 3 4 5 6 7]).
a. What are the parameters k, n, m, and dmin of this code?
b. How many errors can it correct?
c. Find a generator matrix, G, for this code.
d. Is this code systematic?
e. Is this code cyclic?