題組內容

3. (10%) A matrix H for a linear block code is defined such that each vector v is a valid codeword if and only if Hv^T = 0. Assume that $$H = \begin{bmatrix} 1 & 0 & 1 & 1 & 0 & 0 \\ 1 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 & 1 \end{bmatrix}$$.

(b) How many valid codewords can be found?