Citation:
Chatouh K, Guenda K, Gulliver TA, Noui L. Simplex and MacDonald codes over Rq. Journal of Applied Mathematics and ComputingJournal of Applied Mathematics and Computing. 2016;55 :455–478.
Date Published:
2016Abstract:
In this paper, we introduce the homogeneous weight and homogeneous Gray map over the ring Rq=F2[u1,u2,…,uq]/⟨u2i=0,uiuj=ujui⟩ for q>=1q>=1. We also consider the construction of simplex and MacDonald codes of types α and β over this ring and their covering radius.