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The notion of normality of codes in Hamming metric is extended to the codes in Rosenbloom-Tsfasman metric (RT-metric, in short). Using concepts of partition number and    l   -cell of codes in RT-metric, we establish results on covering radius and normality of    q   -ary codes in this metric. We also examine the acceptability of various coordinate positions of    q   -ary codes in this metric. And thus, by exploring the feasibility of applying amalgamated direct sum method for construction of codes, we analyze the significance of normality in RT-metric.

isrn combinatorics

On Normal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Ary Codes in Rosenbloom-Tsfasman Metric

On Normal q-Ary Codes in Rosenbloom-Tsfasman Metric