A strong converse bound for constant composition codes of the form $P_{ e}^{ (n)} \geq 1- A n^{ -0.5(1-E_{ sc}'(R,W,p))} e^{ -n E_{ sc}(R,W,p)}$ is established using the Berry-Esseen theorem through the concepts of Augustin information and Augustin mean, where $A$ is a constant determined by the channel $W$, the composition $p$, and the rate $R$, i.e., $A$ does not depend on the block length $n$.

Categories: cs.IT math.IT

Refined Strong Converse for the Constant Composition Codes