Title: Bounds on the covering radius of some classes code, simplex code and MacDonald code in R
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-21-00073; Volume 4 / Issue 2 / Year 2022, Pages 37-44
Document Type: Research Paper
Author(s): Panchanathan Chella Pandian a
aDepartment of Mathematics, Srimad Andavan Arts and Science College(A), Tiruchirappalli-620005, Tamil Nadu, India
Received: 3 December 2021, Accepted: 2 June 2022, Published: 14 July 2022.
Corresponding Author: Panchanathan Chella Pandian (Email address: chellapandianpc@gmail.com; chella@andavancollege.ac.in)
Full Text: PDF
Abstract
In this paper, study of the codes in where
,
Its related parameter of codes over
with different distance are discussed. The block repetition codes over
are defined and the covering radius for block repetition codes, simplex code and macdonald code of type
and type
in
are obtained.
Keywords: Code, finite ring, additive codes, parameter, different distance, block repetition code, simplex code, Macdonald code
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