Weight of Linear Codeword/Examples/Codeword in V(4,3)

Example of Weight of Linear Codeword

In the master code $\map V {4, 3}$, the codeword $1201$ has a weight of $3$.

Proof

This is because it has $3$ non-zero digits.

$\blacksquare$

Sources

• 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $6$: Error-correcting codes: Example $6.6$