In
mathematics, a
finite field or
Galois field (so-named in honor of
Évariste Galois) is a
field that contains a finite number of
elements. As with any field, a finite field is a
set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are given by the
integers mod p when
p is a prime number.