Binary Hamming Code

Write a program with python language that has the following:

$1.$Let the program ask the user to enter the number parity$-$check sym$-$

bols, $m.$

$2.$Let the program evaluate the code$-$length, $n,$ the number of information$-$

symbols, $k.$

$3.$Define a function that generates a systematic parity$-$check matrix $H$

for such Hamming code.

$4.$Define a function that generates a systematic generator matrix $G$ for

such Hamming code.

$5.$Define a function that encodes a message into a codeword.

$6.$Define a function that simulates a binary$-$channel. Such function gen$-$

erates an additive error of weight less than or equal to one, which is

the correction capability of this type of code.

$7.$Define a function that decodes a received word into a codeword, by

finding the syndrome then correcting the detected error if any.

$8.$Define a function that extracts the message from the corrected received

word.