\begin{definition}[Definition:Linear Code/Codeword]
Let $p$ be a prime number.
Let $\Z_p$ be the set of residue classes modulo $p$.
Let $\map V {n, p}$ be a master code of length $n$ modulo $p$.
The elements of $\map V {n, p}$ are referred to as '''codewords'''.
A '''codeword''' is usually written without punctuation, so that, for example:
:$\tuple {\eqclass 1 p, \eqclass 0 p, \eqclass 1 p}$
is presented as:
:$101$
\end{definition}