Bounds for the $l_1$-distance of $q$-ary lattices obtained via Constructions D, D${}^{{}^{\prime }}$ and $\overline{D}$

Eleonesio Strey, Sueli I. R. Costa

Lattices have been used in several problems in coding theory and cryptography. In this paper we approach $q$-ary lattices obtained via Constructions D, $\D'$ and $\overline{D}$. It…