On Z2Z4-additive complementary dual codes and related LCD codes

N. Benbelkacem, J. Borges, S. T. Dougherty, C. Fernández-Córdoba*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

10 Citations (Scopus)


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. We give examples of such binary LCD codes which are distance-optimal, i.e., they have the largest minimum distance among all binary LCD codes with the same length and dimension.

Original languageEnglish
Article number101622
JournalFinite Fields and Their Applications
Publication statusPublished - Feb 2020


  • Complementary dual
  • Gray map
  • LCD codes
  • ZZ-additive codes


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