Skew constacyclic codes over a non-chain ring ${\mathbb{F}}_q[u,v]/⟨f(u),g(v),uv-vu⟩$

Swati Bhardwaj, Madhu Raka

Let $f(u)$ and $g(v)$ be two polynomials of degree $k$ and $\ell$ respectively, not both linear, which split into distinct linear factors over ${\mathbb{F}}_q$. Let $\mathcal{R}=\m…