(a) Encode the following messages:
1000 1100 1011 1110 1001 1111.
(b) Decode the following received words:
1100001 1110111 0010001 0011100.
(c) Construct a decoding table consisting of the syndromes and coset leaders for this code.
(d) Use the result in part (c) to decode the received words given in part (b).
Let

be the parity-check matrix for a Hamming (7, 4) code.

Transcribed Image Text:

H0 1 01 0 0 1 1 1 0 0 1