Refined Strong Converse for the Constant Composition Codes

preprint2020arXivOpen access

Abstract

A strong converse bound for constant composition codes of the form Pe(n)≥1−An−0.5(1−Esc′(R,W,p))e−nEsc(R,W,p)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 AA is a constant determined by the channel WW, the composition pp, and the rate RR, i.e., AA does not depend on the block length nn.

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