On a class of left metacyclic codes

Cao Yonglin, Cao Yuan, Fu Fang-Wei +1

Let $G_{(m,3,r)}=⟨x,y\mid x^m=1,y^3=1,yx=x^{r}y⟩$ be a metacyclic group of order $3m$, where $\gcd (m,r)=1$, $1<r<m$ and $r^3\equiv 1$ (mod $m$). Then left ideals o…