@inproceedings{c145c69855e643e3b4bfb9b999c7237b,
title = "Second-order capacities of erasure and list decoding",
abstract = "We derive the second-order capacities (supremum of second-order coding rates) for erasure and list decoding. Fpor erasure decoding, we show that second-order capacity is √VΦ-1(εt) where V is the channel dispersion and (εt is the total error probability, i.e. the sum of the erasure and undetected errors. We show numerically that the expected rate at finite blocklength for erasures decoding can exceed the finite blocklength channel coding rate. For list decoding, we consider list codes of deterministic size 2√nl and show that the second-order capacity is l+ √VΦ-1(ε) where ε is the permissible error probability. Both coding schemes use the threshold decoder and converses are proved using variants of the meta-converse.",
author = "Tan, {Vincent Y.F.} and Pierre Moulin",
year = "2014",
doi = "10.1109/ISIT.2014.6875161",
language = "English (US)",
isbn = "9781479951864",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1887--1891",
booktitle = "2014 IEEE International Symposium on Information Theory, ISIT 2014",
address = "United States",
note = "2014 IEEE International Symposium on Information Theory, ISIT 2014 ; Conference date: 29-06-2014 Through 04-07-2014",
}