Homework 10

• (a) Factor x³¹ + 1 over GF(2) using the Peterson table of irreducible polynomials.  You may check your answer by using the Maple command:

                                    Factor( x³¹ + 1 ) mod 2 ;
 

• (b) Factor x⁹ + 1 over GF(2) using the Peterson table of irreducible polynomials.  You may check your answer by using the Maple command:

                                    Factor( x⁹ + 1 ) mod 2 ;