Quantum Codes from Constacyclic Codes over the Ring Fq[u1,u2]/〈u12-u1,u22-u2,u1u2-u2u1〉.

In this paper, we study the structural properties of (α + u 1 β + u 2 γ + u 1 u 2 δ) -constacyclic codes over R = F q [ u 1 , u 2 ] / 〈 u 1 2 − u 1 , u 2 2 − u 2 , u 1 u 2 − u 2 u 1 〉 where q = p m for odd prime p and m ≥ 1 . We derive the generators of constacyclic and dual constacyclic codes. We have shown that Gray image of a constacyclic code of length n is a quasi constacyclic code of length 4 n . Also we have classified all possible self dual linear codes over this ring R. We have given the applications by computing non-binary quantum codes over this ring R. [ABSTRACT FROM AUTHOR]