  In this paper, we study some repeated-root two-dimensional cyclic and
constacyclic codes over a finite field $F=\mathbb{F}_q$. We obtain the
generator matrices and generator polynomials of these codes and their duals. We
also investigate when such codes are self-dual. Moreover, we prove that if
there exists an asymptotically good family of one-sided repeated-root
two-dimensional cyclic or constacyclic codes, then there exists an
asymptotically good family of simple root two-dimensional cyclic or
constacyclic codes with parameters at least as good as the first family.
Furthermore, we show that several of the main results of the papers Rajabi and
Khashyarmanesh (2018) and Sepasdar and Khashyarmanesh (2016) are not accurate
and find other conditions needed for them to hold.
