Reliable transmission rate (source code)

= Reliable transmission rate
{title2=$R$}

A rate $R$ is reliably achievable through a channel when there is a sequence of length-$n$ channel codes with $M_n$ messages such that
$$
\liminf_{n\to\infty}\frac{\log_2M_n}{n}\geq R
$$
and their decoding-error probability tends to zero.