27 citations · 79 across the 14 of their papers we have counts for
4 papers · 1 filter
Polynomial Invariant Theory and Shape Enumerator of Self-Dual Codes in the NRT-Metric
Welington Santos, Marcelo Muniz Silva Alves
In this paper we consider self-dual NRT-codes, that is, self-dual codes in the metric space endowed with the Niederreiter-Rosenbloom-Tsfasman (NRT-metric). We use polynomial invari…
On cyclotomic cosets and code constructions
Giuliano Gadioli La Guardia, Marcelo Muniz Silva Alves
New properties of -ary cyclotomic cosets modulo , where is a prime power, are investigated in this paper. Based on these properties, the dimension as w…
A standard form for generator matrices with respect to the Niederreiter-Rosenbloom-Tsfasman metric
Marcelo Muniz S. Alves
In this note, we present an analogue for codes in vector spaces with a Rosenbloom-Tsfasman metric of the well-known standard form of generator matrices for codes in spaces with the…
The Symmetries of the -metric
Marcelo Muniz S. Alves, Luciano Panek
Let V be an n-dimensional vector space over a finite field F_q. We consider on V the -metric recently introduced by K. Feng, L. Xu and F. J. Hickernell. In this short note we gi…