Skip to content
EntityQ603880· pop 38· linked from 733 articles

finite field

Sign in to save

Also known as Galois field

field that contains a finite number of elements

~40 min read

Encyclopedic overview

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that has 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 the integers mod

p

Excerpted from Wikipedia’s “finite field” article, available under the CC BY-SA 4.0 licence.