Question

Construct a generator matrix and a parity check matrix for a ternary Hamming code Ham(2, 3).

Assume a codeword x from for the ternary Hamming code Ham(2, 3)$ was sent and the word y was received. Use the partiy check matrix you constructed in part (a) to decode y in each part
using syndrome decoding:

(b) y = ( 1 , 1 , 1 , 0 ),

(c) y = ( 2 , 2 , 2 , 2 ),

(d) y = ( 1 , 2 , 1 , 2 ).

Answer 1