A Refinement of Expurgation

Fuente: arXiv
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Autori principali: Cocco, Giuseppe, Fàbregas, Albert Guillén i, Font-Segura, Josep
Natura: Preprint
Pubblicazione: 2023
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author Cocco, Giuseppe
Fàbregas, Albert Guillén i
Font-Segura, Josep
author_facet Cocco, Giuseppe
Fàbregas, Albert Guillén i
Font-Segura, Josep
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_12162
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A Refinement of Expurgation
Cocco, Giuseppe
Fàbregas, Albert Guillén i
Font-Segura, Josep
Information Theory
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.
title A Refinement of Expurgation
topic Information Theory
url https://arxiv.org/abs/2307.12162