Lattice codes based on product constructions over F2q with applications to compute-and-forward

Yu Chih Huang, Krishna R. Narayanan

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

4 Scopus citations

Abstract

A novel construction of lattices is proposed. This construction can be thought of as Construction A with linear codes that can be represented as the Cartesian product of two linear codes over Fq; hence, is referred to as the product construction. The existence of a sequence of Poltyrev-good lattices generated by the product construction under some conditions is shown. This family of lattices is then used to generate signal constellations with q2 elements which can be used in conjunction with multilevel coding with channel codes over Fq instead of Fq2 to design good coded modulation schemes for compute-and-forward.

Original languageEnglish
Title of host publication2013 IEEE Information Theory Workshop, ITW 2013
DOIs
StatePublished - 2013
Event2013 IEEE Information Theory Workshop, ITW 2013 - Seville, Spain
Duration: 9 Sep 201313 Sep 2013

Publication series

Name2013 IEEE Information Theory Workshop, ITW 2013

Conference

Conference2013 IEEE Information Theory Workshop, ITW 2013
CountrySpain
CitySeville
Period9/09/1313/09/13

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    Huang, Y. C., & Narayanan, K. R. (2013). Lattice codes based on product constructions over F2q with applications to compute-and-forward. In 2013 IEEE Information Theory Workshop, ITW 2013 [6691272] (2013 IEEE Information Theory Workshop, ITW 2013). https://doi.org/10.1109/ITW.2013.6691272