On quantum and LCD Codes Over The Ring F_q[u, v, w, z] /<u³-u, v²-v, w²-w, z²-z, u v, v u, u w, w u, u z, z u, v w, w v, v z, z v, w z-z w>

For an odd prime power q and ${\mathcal{R}}_{7}=\mathbb{F}_{q}+u \mathbb{F}_{q}+$ $v \mathbb{F}_{q}+w \mathbb{F}_{q}+z \mathbb{F}_{q}+u^{2} \mathbb{F}_{q}+w z \mathbb{F}_{q}$. Through this work we seek to construct new quantum codes and LCD codes by means of cyclic codes built on the ring ${\mathcal{R}}_{7}$. By using cyclic codes containing their duals, we give quantum codes, we also give a method for the construction of LCD Codes over ${\mathcal{R}}_{7}$.