On the covering radius of some modular codes

Manish K. Gupta; Chinnappillai Durairajan

doi:10.3934/amc.2014.8.129

Article Contents

2014, Volume 8, Issue 2: 129-137. Doi: 10.3934/amc.2014.8.129

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On the covering radius of some modular codes

Manish K. Gupta^1, and
Chinnappillai Durairajan^2,

1.
Laboratory of Natural Information Processing, Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Gujarat 382007
2.
Department of Mathematics, School of Mathematical Sciences, Bharathidasan University, Tiruchirappalli, Tamil Nadu 620024

Received: June 30, 2012

Published: April 2014

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Abstract

This paper gives lower and upper bounds on the covering radius of codes over $\mathbb{Z}_{2^s}$ with respect to homogenous distance. We also determine the covering radius of various Repetition codes, Simplex codes (Type $\alpha$ and Type $\beta$) and their dual and give bounds on the covering radii for MacDonald codes of both types over $\mathbb{Z}_4$.

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Mathematics Subject Classification: Primary: 94B25; Secondary: 11H31.

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