Distributed Systems, Mathematics, Algebra, Abstract Mathematics, Replication.
is higher than the field degree, we need to reduce it, by dividing it by an irreducible polynomial of degree 2. (x² + x + 1) is such a polynomial of degree 2 which does not have any factors. After dividing (x² +1) by (x² + x + 1) we get 1 as remainder. so multiplication of 10 and 11 is equal to 01.