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

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

Publikováno v: Communications in Mathematics, Volume 31 (2023), Issue 2 (Special issue: Euclidean lattices: theory and applications) (September 10, 2023) cm:11146

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 $q$-ar

Externí odkaz: http://arxiv.org/abs/2303.16879

Lattices from codes over $\mathbb{Z}_q$: Generalization of Constructions $D$, $D'$ and $\overline{D}$

Autor: Strey, Eleonesio, Costa, Sueli I. R.

In this paper, we extend the lattice Constructions $D$, $D'$ and $\overline{D}$ $($this latter is also known as Forney's code formula$)$ from codes over $\mathbb{F}_p$ to linear codes over $\mathbb{Z}_q$, where $q \in \mathbb{N}$. We define an operat

Externí odkaz: http://arxiv.org/abs/1512.05841

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Bounds for the $$l_1$$ l1 -distance of q-ary lattices obtained via Constructions D, D$$^{'}$$ ′ and $$\overline{\text{ D }}$$ D¯

Autor: Strey, Eleonesio, Costa, Sueli

Publikováno v: Computational and Applied Mathematics; July 2018, Vol. 37 Issue: 3 p2413-2427, 15p