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On Existence of Optimal Linear Encoders over Non-field Rings for Data Compression with Application to Computing
KTH, School of Electrical Engineering (EES), Communication Theory.
KTH, School of Electrical Engineering (EES), Communication Theory.ORCID iD: 0000-0002-7926-5081
2013 (English)In: 2013 IEEE Information Theory Workshop, ITW 2013, IEEE , 2013, 6691314- p.Conference paper, Published paper (Refereed)
Abstract [en]

This note proves that, for any finite set of correlated discrete i.i.d. sources, there always exists a sequence of linear encoders over some finite non-field rings which achieves the data compression limit, the Slepian-Wolf region. Based on this, we address a variation of the data compression problem which considers recovering some discrete function of the data. It is demonstrated that linear encoder over non-field ring strictly outperforms its field counterpart for encoding some function in terms of achieving strictly larger achievable region with strictly smaller alphabet size.

Place, publisher, year, edition, pages
IEEE , 2013. 6691314- p.
Keyword [en]
Information, Codes
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Electrical Engineering, Electronic Engineering, Information Engineering Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-142594DOI: 10.1109/ITW.2013.6691314ISI: 000330643200102Scopus ID: 2-s2.0-84893323676ISBN: 978-1-4799-1321-3 (print)OAI: oai:DiVA.org:kth-142594DiVA: diva2:704088
Conference
2013 IEEE Information Theory Workshop, ITW 2013; Seville; Spain; 9 September 2013 through 13 September 2013
Note

QC 20140311

Available from: 2014-03-11 Created: 2014-03-07 Last updated: 2014-03-11Bibliographically approved

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Skoglund, Mikael

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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