Definition:Minimum Distance of Linear Code

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Definition

Let $C$ be a linear code whose master code is $\map V {n, p}$.

The minimum distance $d$ of $C$ is defined as:

$\map d C := \ds \min_{u, v \mathop \in C: u \mathop \ne v} \set {\map d {u, v} }$

where $\map d {u, v}$ denotes the Hamming distance between $u$ and $v$.


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