Cyclic codes

Thread Starter

RdAdr

Joined May 19, 2013
214
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?
 
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