### 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-q(2) 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) |

Publisher | IEEE |

Number of pages | 5 |

State | Published - 2013 |

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

### Conference

Conference | IEEE Information Theory Workshop (ITW) |
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Country | Spain |

City | Seville |

Period | 9/09/13 → 13/09/13 |

## Cite this

*2013 IEEE INFORMATION THEORY WORKSHOP (ITW)*IEEE.