On Quantum Codes Obtained From Cyclic Codes Over ${\mathbb{F}}_2+u{\mathbb{F}}_2+u^2{\mathbb{F}}_2$

Let $R={\mathbb{F}}_2+u{\mathbb{F}}_2+u^2{\mathbb{F}}_2$ be a non-chain finite commutative ring, where $u^3=u$. In this paper, we mainly study the construction of quantum codes from cyclic codes over $R$. We obtained self-orthogonal codes over ${\mathbb{F}}_2$ as gray images of linear and cyclic codes over $R$. The parameters of quantum codes which are obtained from cyclic code over $R$ are discussed.