A Refinement of Expurgation
Information Theory
2024-04-22 v3 math.IT
Abstract
We show that for a wide range of channels and code ensembles with pairwise-independent codewords, with probability tending to 1 with the code length, expurgating an arbitrarily small fraction of codewords from a randomly selected code results in a code attaining the expurgated exponent.
Cite
@article{arxiv.2307.12162,
title = {A Refinement of Expurgation},
author = {Giuseppe Cocco and Albert Guillén i Fàbregas and Josep Font-Segura},
journal= {arXiv preprint arXiv:2307.12162},
year = {2024}
}