Question: Given that G is a generator matrix for a perfect [7, 4, 3] binary code, construct a syndrome table and use it to decode: 0000011,1111111,1100110

Given that G is a generator matrix for a perfect [7, 4, 3] binary code,

construct a syndrome table and use it to decode:

0000011,1111111,1100110

1 1 1 1 1 0 G = 14 1 1 0

1 1 1 1 1 0 G = 14 1 1 0 1 | 0 1 1

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