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arXiv · 1609.09669

Relative two-weight $\mathbb{Z}_2 \mathbb{Z}_4$-additive Codes

N. Annamalai·C. Durairajan
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Abstract

In this paper, we study a relative two-weight $\mathbb{Z}_2 \mathbb{Z}_4$-additive codes. It is shown that the Gray image of a two-distance $\mathbb{Z}_2 \mathbb{Z}_4$-additive code is a binary two-distance code and that the Gray image of a relative two-weight $\mathbb{Z}_2 \mathbb{Z}_4$-additive code, with nontrivial binary part, is a linear binary relative two-weight code. The structure of relative two-weight $\mathbb{Z}_2 \mathbb{Z}_4$-additive codes are described. Finally, we discussed permutation automorphism group of a $\mathbb{Z}_2 \mathbb{Z}_4$-additive codes.

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N. Annamalai, C. Durairajan. 2016-09-30. Relative two-weight $\mathbb{Z}_2 \mathbb{Z}_4$-additive Codes. https://arxiv.org/abs/1609.09669

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