NEW NON-BINARY QUANTUM CODES FROM CONSTACYCLIC CODES OVER Fq[u,v]/⟨u2-1, v2 - v, uu - vu)

Let R = F-q[u, v11 < u(2) - 1, v2 v, uv - vu)> be a finite non-chain ring, where q is an odd prime power and u(2) = 1, v(2) = v, uv = vu. In this paper, we construct new non-binary quantum codes from (alpha + beta u + gamma v + delta uv)-constacyclic codes over R. We give the structure of (alpha + beta u + gamma v + delta uv)-constacyclic codes over R and obtain self-orthogonal codes over F-q by Gray map. By using Calderbank-Shor-Steane (CSS) construction and Hermitian construction from dual-containing alpha + beta u + gamma v + delta uv)-constacyclic codes over R, some new non-binary quantum codes are obtained.