Primitive polynomials over GF( 2 ) of degree 9 ======================================================== The following list contains all 48 primitive polynomials over GF( 2 ) of degree 9 . x^9 + x^7 + x^4 + x^2 + 1 x^9 + x^8 + x^7 + x^6 + x^5 + x + 1 x^9 + x^8 + x^7 + x^5 + x^4 + x^2 + 1 x^9 + x^6 + x^5 + x^4 + x^2 + x + 1 x^9 + x^8 + x^7 + x^6 + x^3 + x^2 + 1 x^9 + x^7 + x^5 + x^2 + 1 x^9 + x^4 + x^3 + x + 1 x^9 + x^8 + x^5 + x^4 + x^3 + x + 1 x^9 + x^8 + x^6 + x^5 + x^4 + x + 1 x^9 + x^7 + x^2 + x + 1 x^9 + x^8 + x^6 + x^5 + x^3 + x^2 + 1 x^9 + x^4 + 1 x^9 + x^8 + x^5 + x^4 + 1 x^9 + x^8 + x^6 + x^3 + x^2 + x + 1 x^9 + x^5 + 1 x^9 + x^7 + x^5 + x^4 + x^2 + x + 1 x^9 + x^8 + x^7 + x^6 + x^4 + x^3 + 1 x^9 + x^8 + x^4 + x + 1 x^9 + x^7 + x^6 + x^3 + x^2 + x + 1 x^9 + x^8 + x^7 + x^6 + x^5 + x^3 + 1 x^9 + x^6 + x^5 + x^4 + x^3 + x^2 + 1 x^9 + x^8 + x^5 + x + 1 x^9 + x^8 + x^7 + x^6 + x^3 + x + 1 x^9 + x^6 + x^4 + x^3 + x^2 + x + 1 x^9 + x^7 + x^5 + x + 1 x^9 + x^6 + x^4 + x^3 + 1 x^9 + x^8 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 x^9 + x^8 + x^7 + x^6 + x^4 + x^2 + 1 x^9 + x^6 + x^5 + x^3 + x^2 + x + 1 x^9 + x^6 + x^5 + x^3 + 1 x^9 + x^8 + x^6 + x^4 + x^3 + x + 1 x^9 + x^7 + x^6 + x^5 + x^4 + x^3 + 1 x^9 + x^8 + x^7 + x^3 + x^2 + x + 1 x^9 + x^5 + x^4 + x + 1 x^9 + x^8 + x^6 + x^5 + x^3 + x + 1 x^9 + x^8 + x^7 + x^6 + x^2 + x + 1 x^9 + x^7 + x^6 + x^4 + x^3 + x + 1 x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x + 1 x^9 + x^5 + x^3 + x^2 + 1 x^9 + x^7 + x^5 + x^4 + x^3 + x^2 + 1 x^9 + x^8 + x^4 + x^3 + x^2 + x + 1 x^9 + x^7 + x^6 + x^5 + x^4 + x^2 + 1 x^9 + x^8 + x^7 + x^2 + 1 x^9 + x^8 + x^7 + x^5 + x^4 + x^3 + 1 x^9 + x^8 + x^6 + x^5 + 1 x^9 + x^7 + x^5 + x^3 + x^2 + x + 1 x^9 + x^7 + x^6 + x^4 + 1 x^9 + x^8 + x^4 + x^2 + 1