On some classes of linear codes over Z2Z4 and their covering radii

Citation:

Chatouh K, Guenda K, Gulliver TA, Noui L. On some classes of linear codes over Z2Z4 and their covering radii. Journal of Applied Mathematics and ComputingJournal of Applied Mathematics and Computing. 2016;53 :201–222.

Date Published:

2016

Abstract:

In this paper, we define the simplex and MacDonald codes of types αα and β over Z2Z4. We also examine the covering radii of these codes. Further, we study the binary images of these codes and prove that the binary image of the simplex codes of type αα meets the Gilbert bound.