Syndrome Decoding/Examples
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Examples of Syndrome Decoding
Linear $\tuple {6, 3}$-code in $\Z_2$
Let $C$ be the linear code:
- $C = \set {000000, 100110, 010101, 110011, 001011, 101101, 011110, 111000}$
Then the Syndrome Decoding table $T$ for $C$ is:
- $\begin{array} {cc}
000000 & 000 \\ 100000 & 110 \\ 010000 & 101 \\ 001000 & 011 \\ 000100 & 100 \\ 000010 & 010 \\ 000001 & 001 \\ 100001 & 111 \\ \end{array}$