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Cited by 263

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Linear codes for sources and source networks: Error exponents, universal coding

Csiszar, I.·1982·IEEE Transactions on Information Theory

Abstract

For Slepian-Wolf source networks, the error exponents obtained by Körner,Marton, and the author are shown to be universally attainable by linear codes also. Improved exponents are derived for linear codes with "large rates." Specializing the results to simple discrete memoryless sources reveals their relationship to the random coding and expurgated bounds for channels with additive noise. One corollary is that there are universal linear codes for this class of channels which attain the random coding error exponent for each channel in the class. The combinatorial approach of Csiszár-Körner-Marton is used. In particular, all results are derived from a lemma specifying good encoders in terms of purely combinatorial properties.

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Metadata

Authors
Csiszar, I.
Venue
IEEE Transactions on Information Theory
Published
1982-07
Volume
28
Issue
4
Pages
585-592
ISSN
  • 0018-9448 (ISSN-L)
  • 1557-9654
OpenAlex
W2088587246
Cited by
263
References
6
FWCI
0.00
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Linear codes for sources and source networks: Error exponents, universal coding. https://app.cochat.ai/papers/10.1109/tit.1982.1056524
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Csiszar, I. (1982). Linear codes for sources and source networks: Error exponents, universal coding. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1982.1056524

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.