  In this paper, the author introduces the concept and basic properties of
finite (commutative) hyperfields. Also, the author shows that, up to
isomorphism, there are exactly 2 hyperfields of order 2; 5 hyperfields of order
3; 7 hyperfields of order 4; 27 hyperfields of order 5. Those hyperfields could
be first hand materials for those who are doing relevant researches.
