I have the code polynomial: g(x)=1+x^2+x^5 which corresponds to 101001 and this generates a (n,k) cyclic code where n-k=5 (the degree of the polynomial). Is k the length of the message?Because i am given a message with 15 bits. So if k=15 then n=20. And the generator matrix(nesystematic) is then a kxn=15x20 matrix. Am I right?