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

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Advance Math

Construct a generator matrix and a parity check matrix for aternary 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 matrixyou 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 ).

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