On the $Z_q$-MacDonald Code and its Weight Distribution of dimension 3

J. Mahalakshmi; C. Durairajan

On the $Z_q$-MacDonald Code and its Weight Distribution of dimension 3

Information Theory 2015-05-22 v1 math.IT

Authors: J. Mahalakshmi , C. Durairajan

Abstract

In this paper, we determine the parameters of $\mathbb{Z}_q$ -MacDonald Code of dimension k for any positive integer $q \geq 2.$ Further, we have obtained the weight distribution of $\mathbb{Z}_q$ -MacDonald code of dimension 3 and furthermore, we have given the weight distribution of $\mathbb{Z}_q$ -Simplex code of dimension 3 for any positive integer $q \geq 2.$

Keywords

Z_q-MacDonald code weight distribution Z_q-Simplex code code parameters finite ring coding theory

Cite

@article{arxiv.1505.05642,
  title  = {On the $Z_q$-MacDonald Code and its Weight Distribution of dimension 3},
  author = {J. Mahalakshmi and C. Durairajan},
  journal= {arXiv preprint arXiv:1505.05642},
  year   = {2015}
}

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