Hamming code #2
Consider the (7, 4) Hamming code defi ned by the parity-check matrix H and generator matrix G of Figure 7.5.
a. The codewords are seven bits long. How many of these bits are information bits and how many are parity bits?
b. What is the rate of this code?
c. Why is this particular case called systematic?
d. Why is this particular case called cyclic? Show some examples to illustrate your answer.
