In 1995, Brualdi et al.[14] introduced the concept of a metric on a vector space determined
by a partial order over a finite set, a poset. These are the so-called poset metrics, that …

In this work, the sphere-covering bound on covering codes in Rosenbloom–Tsfasman
spaces (RT spaces) is improved by generalizing the excess counting method. The approach …

In this paper we consider self-dual NRT codes, that is, self-dual codes in the metric space
endowed with the Niederreiter-Rosenbloom-Tsfasman metric (NRT metric) and their shape …

We investigate linear and additive codes in partially ordered Hamming-like spaces that
satisfy the extension property, meaning that automorphisms of ideals extend to …

We use invariant theory of finite groups to study shape enumerators of self-dual linear codes
in a finite NRT metric space. We provide a new approach that avoids applying Molien's …

Linear complementary dual codes (LCD codes) are codes whose intersections with their
dual codes are trivial. These codes were introduced by Massey in 1992. LCD codes have …

In this work we show how to decompose a linear code relatively to any given poset metric.
We prove that the complexity of syndrome decoding is determined by a maximal (primary) …

Disjoint Chains with Equal Length: The Niederreiter-Rosenbloom-Tsfasman Metric |
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In this work we introduce the concept of a sub-space decomposition, subject to a partition of
the coordinates. Considering metrics determined by partial orders in the set of coordinates …

Em 1995, Brualdi, Graves e Lawrence [12] introduziram o conceito de métricas em um
espaço vetorial induzidas por uma ordem parcial. Estas sao as metricas poset, que …