On Z2Z4-additive complementary dual codes and related LCD codes
Information Theory
2019-03-20 v1 math.IT
Abstract
Linear complementary dual codes were defined by Massey in 1992, and were used to give an optimum linear coding solution for the two user binary adder channel. In this paper, we define the analog of LCD codes over fields in the ambient space with mixed binary and quaternary alphabets. These codes are additive, in the sense that they are additive subgroups, rather than linear as they are not vector spaces over some finite field. We study the structure of these codes and we use the canonical Gray map from this space to the Hamming space to construct binary LCD codes in certain cases.
Keywords
Cite
@article{arxiv.1903.07886,
title = {On Z2Z4-additive complementary dual codes and related LCD codes},
author = {Nasreddine Benbelkacem and Joaquim Borges and Steven T. Dougherty and Cristina Fernández-Córdoba},
journal= {arXiv preprint arXiv:1903.07886},
year = {2019}
}