Normality of binary codes in Rosenbloom-Tsfasman Metric

In this paper, we extend the notion of normality of codes in Hamming metric to the codes in Rosenbloom-Tsfasman metric (RT-metric, in short). Using partition number and l-cell of codes in RT-metric, we establish results on covering radius and normality of codes in this metric. We also investigate the feasibility of applying amalgamated direct sum method for the construction of codes in RT-metric by investigating on the acceptability of various coordinate positions of codes in this metric.