Generating a code that detects errors

Construct a (7,3) code that detects 3 errors and do the
following…

a) Write the generator matrix

b) Show by example that your code will detect 1 error, 2
errors, and 3 errors.

c) Give an example where 4 errors are made in transmitting a
message word, but your code does not detect any errors.

d) How many errors are corrected by your code?

e) Give an example where your code detects errors in a
received word, but cannot correct the errors.

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