Two infinite families of two-weight codes over Z2m.

In this paper, we first construct two infinite families of new two-weight codes over Z 2 m with respect to homogeneous metric and Lee metric by their generator matrices, which generalizes the results in Shi et al (Des Codes Cryptogr 88(3):1–13, 2020) from two different directions. We construct some optimal codes over Z 2 m and prove all codes in one of these two families are self-orthogonal. Finally, we determine the linearity of the Gray images of the codes we constructed for Lee metric completely. [ABSTRACT FROM AUTHOR]