Hamming Distance/Examples/Codewords in V(4,3)
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Example of Hamming Distance
In the master code $\map V {4, 3}$, the Hamming distance between the codewords $1201$ and $2211$ is $2$.
Proof
This is because they are different in $2$ digits: the $1$st and the $3$rd.
$\blacksquare$
Sources
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $6$: Error-correcting codes: Example $6.6$