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. Also, one more parity bit is added by adding $($modulo $2)$ all the row

parity$-$check bits. Consider a block of $66$ data bits, there will be $6$ row parity bits

and $7$ column parity bits.

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

detection and correction capability of the scheme.

$(7$ marks$)$