On Normal q-Ary Codes in Rosenbloom-Tsfasman Metric | Zendy

R. S. Selvaraj | Zendy; Venkatrajam Marka | Zendy

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On Normal q-Ary Codes in Rosenbloom-Tsfasman Metric

Author(s) -

R. S. Selvaraj,

Venkatrajam Marka

Publication year - 2014

Publication title -

isrn combinatorics

Language(s) - English

Resource type - Journals

ISSN - 2090-8911

DOI - 10.1155/2014/237915

Subject(s) - metric (unit) , algorithm , mathematics , hamming distance , computer science , artificial intelligence , operations management , economics

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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