(3) (9 pts) For the received word w out the correct codeword c2 1011100, use error trapping decoding technique to find Given the parity-check matrix H of a [13, 10, 3] ternary Hamming code as below H=(0 1 1 1 0 0 0 1 1 1 2 2 2 1 012 01 2 0 1 2 0 1 2 (1) (10 pts) What is the corresponding generating matrix G? (2) (4 pts) Assume that the data to be encoded is m -00011 12220, what is its corresponding codeword e? (3) (5 pts) If the error vector e 00020 00000 000, and w-c+e, what is the syndrome? (4) (6 pts) For g-ary Hamming code Ham(r g), what are its size n and dimension k? Hamming code Ham(r, q), what are its size n and dimension k? (3) (9 pts) For the received word w out the correct codeword c2 1011100, use error trapping decoding technique to find Given the parity-check matrix H of a [13, 10, 3] ternary Hamming code as below H=(0 1 1 1 0 0 0 1 1 1 2 2 2 1 012 01 2 0 1 2 0 1 2 (1) (10 pts) What is the corresponding generating matrix G? (2) (4 pts) Assume that the data to be encoded is m -00011 12220, what is its corresponding codeword e? (3) (5 pts) If the error vector e 00020 00000 000, and w-c+e, what is the syndrome? (4) (6 pts) For g-ary Hamming code Ham(r g), what are its size n and dimension k? Hamming code Ham(r, q), what are its size n and dimension k