The information bit sequence $\{111010101\}$ is to be transmitted by encoding with Cyclic Redundancy Check $4$ (CRC-$4$) code, for which the generator polynomial is $C(x)=x^{4}+x+1$. The encoded sequence of bits is $\_\_\_\_\_\_\_$.
- $\{1110101011100\}$
- $\{1110101011101\}$
- $\{1110101011110\}$
- $\{1110101010100\}$