On the non-existence of perfect codes in the Niederreiter-Rosenbloom-Tsfasman metric

Viviana Gubitosi, Aldo Portela, Claudio Qureshi

In this paper we consider codes in ${\mathbb{F}}_q^{s\times r}$ with packing radius $R$ regarding the NRT-metric (i.e. when the underlying poset is a disjoint union of chains with th…