I was looking at parity check matrices and I was wondering: suppose that the received matrix is

\(

\begin{array}{cccc|cc}

1 & 0 & 1 & 0 & 0 & \\

0 & 1 & 1 & 0 & 0 & \\

1 & 0 & 1 & 1 & 1 & \\ \hline

0 & 1 & 1 & 0 & 0 & \leftarrow \\

\ & \ & \ & \ & \uparrow

\end{array}

\)

the parity check bit (marked with the arrows) does not coincides with the LRC and VRC bits.

I think in this situation the code cannot be corrected, but I am not completely sure.

Am I right ?

Regards,

thumb2