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

03/29/2023

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by   Franciele do Carmo Silva, et al.

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Multilevel lattice codes, such as the associated to Constructions C, , 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 matrix, expressions and bounds for 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.