Repeated-root constacyclic codes of length 3ps over the finite non-chain ring 𝔽pm[u,v] 〈u2,v2,uv−vu〉 and their duals

This study aims to determine the algebraic structures of [Formula: see text]-constacyclic codes of length [Formula: see text] over the finite commutative non-chain ring [Formula: see text], for a prime [Formula: see text] For the unit [Formula: see text], we consider two different instances: when [Formula: see text] is a cube in [Formula: see text] and when it is not. Analyzing the first scenario is relatively easy. When [Formula: see text] is not a unit in [Formula: see text], we consider several subcases and determine the algebraic structures of constacyclic codes in those cases. Further, we also provide the number of codewords and the duals of [Formula: see text]-constacyclic codes.