Question: To build the coding scheme of a cyclic code that calculates the division of the polynomial 1 + x ^ 4 + x ^ 5

To build the coding scheme of a cyclic code that calculates the division of the polynomial 1+ x^4+ x^5
with its derived polynomial g(x)=1+ x^2. Verify the operation of this scheme if as input we have the message 110001. Does the division of these polynomials give the same check bits as the coding scheme?

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