Polynomial 1 + x⁷ can be facted into threeoriz irreducible polynomials (1 + x) (1+ x + x³)(1 + x² + x³) with (1 + x + x³) and (1 + x² + x³) as primitive polynomials. Using 1 + x + x³ as generator polynomial, calculate the (7, 4) cyclic code word for given message sequence 1010.