題組內容

6. (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 $$H = \begin{bmatrix} 1 & 1 & 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 1 & 0 & 1 \end{bmatrix}$$

(ii) How many valid codewords can you find?