$1$

$0$

$0$

$($i$)$ What is the minimum distance of the code?

$($ii$)$ What is the maximum number of errors this code can detect? What is the

maximum number of errors this code can correct?

t Write the parity check matrix H in systematic form for this code!

G $=$

$1$

$1$

$1$

$0$

$1$

$1$

$1$

$0$

A $(6,3)$ linear block code is specified by the generator matrix G as shown below.

$00$

$0$

$1$

$1$

$0$