Type I and Type II codes over the ring $$\mathbb F_2+s \mathbb F_2+s^2\mathbb F_2$$F2+sF2+s2F2
Ankur · Arabian Journal of Mathematics · 2018
We take a ring $$R = \mathbb F_2+s\mathbb F_2+s^2\mathbb F_2$$ R=F2+sF2+s2F2. We consider a Gray map on this ring, discuss self-dual codes, define various weight enumerators over the ring, and discuss equivalence class of codes over the ring. We construct self-dual codes of Type I and Type II over the given ring for different lengths.