Primitive element (finite field)

In field theory, a branch of mathematics, a primitive element of a finite field GF(q) is a generator of the multiplicative group of the field, which is necessarily cyclic. The minimal polynomial of a primitive element is a primitive polynomial.

See also

• Primitive element (field theory)
• Primitive root

References

• Jacobson, Nathan (1985). Basic Algebra I (2nd ed ed.). New York: W. H. Freeman and Co. ISBN 978-0-7167-1480-4. {{cite book}}: |edition= has extra text (help)
• Lidl, Rudolf (1997). Finite Fields (2nd ed ed.). Cambridge University Press. ISBN 0-521-39231-4. {{cite book}}: |edition= has extra text (help); Unknown parameter |coauthors= ignored (|author= suggested) (help)

External links

• Weisstein, Eric W. "Primitive Polynomial". MathWorld.