Abstract: Сompletely regular codes and distance regular colorings in the multidimensional rectangular grid are studied. At first, it is proved that the sequence of color densities is unimodal. At second, it is obtained that some parameter matrices are not feasible as parameter matrices of distance regular colorings of 4-dimetsional rectangular grid.

Cite: Vasil'eva A.Y. , Mogilnykh I.Y.
On completely regular codes in the multidimensional rectangular grid
Международная конференция "Мальцевские чтения" 11-15 Nov 2024