Distance colorings of hypercubes from Z2Z4-linear codes

In this paper, we give distance-ℓ colorings of the hypercube using nonlinear binary codes which are images of codes which exhibit linear structure over more general rings; specifically, we employ images of Z2Z4-additive codes. This is an extension of the work of Fu, Ling, and Xing (Fu et al., 2013) where the authors demonstrate that distance-ℓ colorings may be obtained from nonlinear codes which are binary images of codes that have a linear structure over Z4.