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Lattice Construction C-star from Self-Dual Codes

Autor(es):
Bollauf, Maiara F. ; Costa, Sueli I. R. ; Zamir, Ram ; IEEE
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: 2020 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT); v. N/A, p. 5-pg., 2020-01-01.
Resumo

Construction C-star was recently introduced as a generalization of the multilevel Construction C (or Forney's code-formula), such that the coded levels may be dependent. Both constructions do not produce a lattice in general, hence the central idea of this paper is to present a 3-level lattice Construction C-star scheme that admits an efficient nearest-neighborhood decoding. In order to achieve this objective, we choose coupled codes for levels 1 and 3; and set the second level code C-2 as an independent linear binary self-dual code, which is known to have a rich mathematical structure among families of linear codes. Our main result states a necessary and sufficient condition for this construction to generate a lattice. We then present examples of efficient lattices and also non-lattice constellations with good packing properties. (AU)

Processo FAPESP: 13/25977-7 - Segurança e confiabilidade da informação: teoria e prática
Beneficiário:Marcelo Firer
Modalidade de apoio: Auxílio à Pesquisa - Temático