Assume we expect $3$ errors in the codewords of a source code and we need to send

it using a channel that expected to have at most three errors. The receiver should

be able to detect and correct the errors. Assume we use Hamming code:

i$.$ Compute the minimum Hamming distance required for the code to detect

these errors.

ii$.$ Compute the minimum Hamming distance for the code to correct these errors.

iii. If we need the receiver to correct exactly two errors, compute the minimum

number of redundant bits that should be added to the codeword to be able to

correct these two errors. Then compute the number of redundant bits if the

message $($codeword$)$ length is $6$ bits.