On normal \(q\)-ary codes in Rosenbloom-Tsfasman metric (Q2449270)
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| Language | Label | Description | Also known as |
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| English | On normal \(q\)-ary codes in Rosenbloom-Tsfasman metric |
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On normal \(q\)-ary codes in Rosenbloom-Tsfasman metric (English)
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7 May 2014
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Summary: 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.
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