Definition:Weight of Linear Codeword
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Definition
Let $C$ be a codeword of a linear code.
The weight of $C$ is the number of non-zero terms of $C$.
Examples
Codeword in $\map V {4, 3}$
In the master code $\map V {4, 3}$, the codeword $1201$ has a weight of $3$.
Sources
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $6$: Error-correcting codes: Definition $6.5$
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): code weight