Consider a binary linear code with parity check matrix H given below.
$$H = \begin{bmatrix}0 & 1 & 1 & 1 & 0 & 0 \\1 & 0 & 1 & 0 & 1 & 0 \\1 & 1 & 0 & 0 & 0 & 1 \end{bmatrix}$$
Which of the following is a valid codeword?

A

$$\begin{bmatrix}1 & 0 & 0 & 1 & 0 & 1 \end{bmatrix}$$

B

$$\begin{bmatrix}1 & 1 & 1 & 1 & 0 & 1 \end{bmatrix}$$

C

$$\begin{bmatrix}0 & 1 & 0 & 0 & 1 & 0 \end{bmatrix}$$

D

$$\begin{bmatrix}1 & 1 & 0 & 1 & 1 & 0 \end{bmatrix}$$