### 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 F_{q}; 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 q^{2} elements which can be used in conjunction with multilevel coding with channel codes over F_{q} instead of F_{q2} to design good coded modulation schemes for compute-and-forward.

Original language | English |
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Title of host publication | 2013 IEEE Information Theory Workshop, ITW 2013 |

DOIs | |

State | Published - 2013 |

Event | 2013 IEEE Information Theory Workshop, ITW 2013 - Seville, Spain Duration: 9 Sep 2013 → 13 Sep 2013 |

### Publication series

Name | 2013 IEEE Information Theory Workshop, ITW 2013 |
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### Conference

Conference | 2013 IEEE Information Theory Workshop, ITW 2013 |
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Country | Spain |

City | Seville |

Period | 9/09/13 → 13/09/13 |

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_{q}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