$($e$)A$ is sending data to $B$ with a data rate of $10$ Mbps over a noisy channel. The channel will produce a burst error with a maximum burst size of $10$ bits, and the minimum gap between errors $($the earliest time the next error will happen$)$ is $1$ ms $.$ Design an error protection scheme for such system using a simple Hamming coder and interleaving at the transmitter.

$.(7$ marks$)$