English

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

Information Theory 2016-10-03 v1 math.IT

Abstract

In this paper, we study a relative two-weight Z2Z4\mathbb{Z}_2 \mathbb{Z}_4-additive codes. It is shown that the Gray image of a two-distance Z2Z4\mathbb{Z}_2 \mathbb{Z}_4-additive code is a binary two-distance code and that the Gray image of a relative two-weight Z2Z4\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 Z2Z4\mathbb{Z}_2 \mathbb{Z}_4-additive codes are described. Finally, we discussed permutation automorphism group of a Z2Z4\mathbb{Z}_2 \mathbb{Z}_4-additive codes.

Keywords

Cite

@article{arxiv.1609.09669,
  title  = {Relative two-weight $\mathbb{Z}_2 \mathbb{Z}_4$-additive Codes},
  author = {N. Annamalai and C. Durairajan},
  journal= {arXiv preprint arXiv:1609.09669},
  year   = {2016}
}
R2 v1 2026-06-22T16:06:28.331Z