\begin{definition}[Definition:Linear Code/Master Code]
Let $p$ be a prime number.
Let $\Z_p$ be the set of residue classes modulo $p$.
Let $\map V {n, p}$ denote the set of sequences of length $n$ of elements of $\Z_p$.
From Master Code forms Vector Space, $\map V {n, p}$ is a vector space over $\Z_p$ of $n$ dimensions
$\map V {n, p}$ is itself a '''linear $\tuple {n, n}$-code''', and is referred to on {{ProofWiki}} as a '''master code''' (for a '''linear $\tuple {n, k}$-code''' over $\Z_p$).
\end{definition}