On Normal q-Ary Codes in Rosenbloom-Tsfasman Metric

Author:

Selvaraj R. S.1,Marka Venkatrajam1ORCID

Affiliation:

1. Department of Mathematics, National Institute of Technology Warangal, Andhra Pradesh 506004, India

Abstract

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.

Publisher

Hindawi Limited

Subject

General Medicine

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Reversible codes in the Rosenbloom-Tsfasman metric;AIMS Mathematics;2024

2. Codes in Rosenbloom-Tsfasman metric: A Survey;Journal of Physics: Conference Series;2021-03-01

3. Functional Perovskites by Atomic Layer Deposition - An Overview;Advanced Materials Interfaces;2017-01-20

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