Franciele do Carmo Silva ; Ana Paula de Souza ; Eleonesio Strey ; Sueli I. R. Costa - On Lattice Constructions D and D' from q-ary Linear Codes

cm:11146 - Communications in Mathematics, September 10, 2023, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) - https://doi.org/10.46298/cm.11146
On Lattice Constructions D and D' from q-ary Linear CodesArticle

Authors: Franciele do Carmo Silva ; Ana Paula de Souza ; Eleonesio Strey ; Sueli I. R. Costa

    Multilevel lattice codes, such as those associated to Constructions $C$, $\overline{D}$, D and D', have relevant applications in communications. In this paper, we investigate some properties of lattices obtained via Constructions D and D' from $q$-ary linear codes. Connections with Construction A, generator matrices, expressions and bounds for the lattice volume and minimum distances are derived. Extensions of previous results regarding construction and decoding of binary and $p$-ary linear codes ($p$ prime) are also presented.


    Volume: Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications)
    Published on: September 10, 2023
    Accepted on: August 26, 2023
    Submitted on: April 1, 2023
    Keywords: Computer Science - Information Theory
    Funding:
      Source : OpenAIRE Graph
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