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IEEE Transactions on Information Theory
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Preprint . 2008
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https://dx.doi.org/10.48550/ar...
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Hash Property and Fixed-Rate Universal Coding Theorems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2010Embargo end date: 01 Jan 2008Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 56, pages 2,688-2,698 (issn: 0018-9448, Copyright policy )
Authors: Muramatsu, Jun; Miyake, Shigeki;

doi: 10.1109/tit.2010.2046214 , 10.48550/arxiv.0804.1183

arXiv: 0804.1183

Hash Property and Fixed-Rate Universal Coding Theorems

Abstract

The aim of this paper is to prove the achievability of fixed-rate universal coding problems by using our previously introduced notion of hash property. These problems are the fixed-rate lossless universal source coding problem and the fixed-rate universal channel coding problem. Since an ensemble of sparse matrices satisfies the hash property requirement, it is proved that we can construct universal codes by using sparse matrices.

submitted to IEEE Transactions on Information Theory, Mar. 2008. 15 pages

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Keywords

FOS: Computer and information sciences, Computer Science - Information Theory, Information Theory (cs.IT)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Top 10%
Green
bronze