Multichannel Optimal Tree-Decodable Codes are Not Always Optimal Prefix Codes

Hoover H.F. Yin, Harry W.H. Wong, Mehrdad Tahernia, Russell W.F. Lai

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

2 Citations (Scopus)

Abstract

The theory of multichannel prefix codes aims to generalize the classical theory of prefix codes. Although single- two-channel prefix codes always have decoding trees, the same cannot be said when there are more than two channels. One question is of theoretical interest: Do there exist optimal codes that are not optimal prefix codes? Existing literature, focused on generalizing single-channel results, covered little about non-tree-decodable prefix codes since they have no single-channel counterparts. In this work, we study the fundamental reason behind the non-tree-decodability of prefix codes. By investigating the non-tree-decodable structure, we obtain a general sufficient condition on the channel alphabets for the existence of optimal tree-decodable codes that are not optimal prefix codes.

Original languageEnglish
Title of host publication2022 IEEE International Symposium on Information Theory, ISIT 2022
PublisherIEEE
Pages1-6
Number of pages6
ISBN (Electronic)978-1-6654-2159-1
DOIs
Publication statusPublished - 2022
MoE publication typeA4 Conference publication
EventIEEE International Symposium on Information Theory - Espoo, Finland
Duration: 26 Jun 20221 Jul 2022

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2022-June
ISSN (Print)2157-8095

Conference

ConferenceIEEE International Symposium on Information Theory
Abbreviated titleISIT
Country/TerritoryFinland
CityEspoo
Period26/06/202201/07/2022

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