Algebraic constructions of graph-based nested codes from protographs

Christine A. Kelley, Jörg Kliewer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Scopus citations

Abstract

Nested codes have been employed in a large number of communication applications as a specific case of superposition codes, for example to implement binning schemes in the presence of noise, in joint network-channel coding, or in physical-layer secrecy. Whereas nested lattice codes have been proposed recently for continuous-input channels, in this paper we focus on the construction of nested linear codes for joint channel-network coding problems based on algebraic protograph LDPC codes. In particular, over the past few years several constructions of codes have been proposed that are based on random lifts of suitably chosen base graphs. More recently, an algebraic analog of this approach was introduced using the theory of voltage graphs. In this paper we illustrate how these methods can be used in the construction of nested codes from algebraic lifts of graphs.

Original languageEnglish (US)
Title of host publication2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings
Pages829-833
Number of pages5
DOIs
StatePublished - 2010
Event2010 IEEE International Symposium on Information Theory, ISIT 2010 - Austin, TX, United States
Duration: Jun 13 2010Jun 18 2010

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8103

Other

Other2010 IEEE International Symposium on Information Theory, ISIT 2010
CountryUnited States
CityAustin, TX
Period6/13/106/18/10

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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    Kelley, C. A., & Kliewer, J. (2010). Algebraic constructions of graph-based nested codes from protographs. In 2010 IEEE International Symposium on Information Theory, ISIT 2010 - Proceedings (pp. 829-833). [5513628] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2010.5513628