a$)$ What is the code rate?

b$)$ What is the parity check matrix?

c$)$ What is the total number of codewords? Write all the codewords.

d$)$ Write down the syndrome table for this code.

e$)$ Write down the syndrome, error vector, and decoder output of the received

f$)$ From the results in c$),$ find the minimum Hamming distance of this code.

g$)$ From the minimum Hamming distance, how many error bits can be corrected?

How many error bits can be detected?