Construction of quantum codes from $$\lambda $$-constacyclic codes over the ring $$\frac{\mathbb {F}_p[u,v]}{\langle v^3-v , u^3-u , uv-vu\rangle }$$

Quantum Codes Obtained from Skew ϱ - λ -Constacyclic Codes over R

“…Since Calderbank and Shor [1] and Steane [2] introduced a simple construction of quantum error-correcting code in 1996, many quantum error-correcting codes have been obtained from classical error-correcting codes by using the CSS construction [3][4][5][6]. In recent years, many researchers constructed quantum codes from constacyclic codes over fnite nonchain rings [7][8][9][10][11][12][13][14]. In [15,16], Boucher et al proposed skew cyclic codes as a new kind of generalized cyclic codes by applying skew polynomial rings.…”