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arXiv · 2303.16879

On Lattice Constructions D and D' from q-ary Linear Codes

Franciele do Carmo Silva·Ana Paula de Souza·Eleonesio Strey·Sueli I. R. Costa
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Abstract

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.

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Franciele do Carmo Silva, Ana Paula de Souza, Eleonesio Strey, Sueli I. R. Costa. 2023-03-29. On Lattice Constructions D and D' from q-ary Linear Codes. https://doi.org/10.46298/cm.11146

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