Problem $1\mathrm{.}1.$

$(7,4)$ block code has the generator matrix G:

$G={|}_{{?}_{?}}[1,0,0,0,1,0,1],[0,1,0,0,1,1,1],[0,0,1,0,1,1,0],[0,0,0,1,0,1,1{]}_{{?}_{?}}|$

Find the parity$-$check matrix $H$ and its transpose $H^T$

Given a data code $d=[1101],$ find the corresponding code$-$word $c$

Given that a code$-$word $c^{**}=[1101101]$ is received, verify if the code$-$word is receipt

correctly.. please explain in detail, thank you!