The polynomial X 15 + 1 when factored yields a. Construct a systematic (15, 5) code using the…

/in /by

The polynomial X15 + 1 when factored yields

a. Construct a systematic (15, 5) code using the generator polynomial

b. What is the minimum distance of the code?

c. How many random errors per codeword can be corrected? d. How many errors can be detected by this code?

e. List the code words of a (15, 2) code constructed from the generator polynomial

and determine the minimum distance.