New quantum codes from skew constacyclic codes

For an odd prime $ p and positive integers m \ell $, let \mathbb{F}_{p^m} be the finite field with p^{m} elements R_{\ell,m} = \mathbb{F}_{p^m}[v_1,v_2,\dots,v_{\ell}]/\langle v^{2}_{i}-1, v_{i}v_{j}-v_{j}v_{i}\rangle_{1\leq i, j\leq \ell} $. Thus is a commutative non-chain ring of order p^{2^{\ell} m} characteristic In this paper, we aim to construct quantum codes from skew constacyclic over First, discuss structures determine their Euclidean dual codes. Then relation between these duals has been obtained. Finally, help duality-preserving Gray map CSS construction, many MDS better non-binary are obtained as compared best-known available in literature.