This is a problem solving in MATLAB
(X^8,X^7,X^6,X^4 means 8th,7th,6th,4th power of X, a^2 , a^3, a^4 means 2nd,3rd,4th power of a too )
A cyclic code is generated by g(X) = X^8 + X^7 + X^6 + X^4 + 1
a) Show that its length is 15
b) Find the generator matrix and parity check matrix in modified-echelon canonical form for this code.
c) Devise a linear switching circuit for encoding using k = 7 stages and one using n – k = 8 stages.
d) Show that a , a^2 , a^3 , and a^4 are roots of g(X), where a; is a root of X^4 + X + 1
I am uploading the exact homework paper so that you can see the problem clearly. I need it in at least 3 days.
PS: please no scam people. only serious programmers who knows the topic.