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?
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