Repeated-root two-dimensional constacyclic codes of length 2ps.2k

Let p be an odd prime. The main purpose of this paper is to establish and exploit the algebraic structure of some repeated-root two dimensional constacyclic codes of length 2ps.2k over the finite field Fpm. Moreover, we study all self-dual repeated-root two-dimensional (λ,1)-constacyclic codes of length 2ps.2 or 2ps.22 over Fpm for λ∈{−1,1}.