• DocumentCode
    659149
  • Title

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

  • Author

    Yu-Chih Huang ; Narayanan, Krishna R.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Texas A&M Univ., College Station, TX, USA
  • fYear
    2013
  • fDate
    9-13 Sept. 2013
  • Firstpage
    1
  • Lastpage
    5
  • 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.
  • Keywords
    channel coding; linear codes; modulation coding; radiocommunication; Cartesian product; Poltyrev-good lattices; channel codes; coded modulation schemes; compute-and-forward; information forwarding paradigm; lattice codes; linear codes; multilevel coding; product constructions; signal constellations; wireless communications; Constellation diagram; Decoding; Lattices; Linear codes; Relays;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop (ITW), 2013 IEEE
  • Conference_Location
    Sevilla
  • Print_ISBN
    978-1-4799-1321-3
  • Type

    conf

  • DOI
    10.1109/ITW.2013.6691272
  • Filename
    6691272