$($e$)$ Consider the $2-$dimensional parity check code $($PCC$),$ in which a block of bits is

organized in a table $($rows and columns$)$ and a parity bit is calculated for each row and

column. Consider a block of $44$ data bits, there will be $4$ row parity bits and $4$ column

parity bits.

Calculate the transmission efficiency of this coding scheme. Determine whether this

code can detect all $3-$bits error.

$(7$ marks$)$