2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225739It is shown that for any binary-input discrete memoryless channel $W$ with symmetric capacity $I(W)$ and any rate $R <I(W)$, the probability of block decoding error for polar coding under successive cancellation decoding satisfies $P_e \le 2^{-N^β}$ for any $β<\frac12$ when the block-length $N$ is large enough.Some minor correctionsInformation Theorytext