Polynomial order

Let P(x) be an irreducible polynomial of degree d>1 over a prime finite field FFp. The order of P is the smallest positive integer n such that P(x) divides xn-1. n is also equal to the multiplicative order of any root of P. It is a divisor of pd-1. P is a primitive polynomial if n=pd-1.

This tool allows you to enter a polynomial and compute its order. If you enter a reducible polynomial, the orders of all its non-linear factors will be computed and presented.


Enter your polynomial: ( Help: how to enter a polynomial )

Over the finite field FFp of characteristics p = .


This page is not in its usual appearance because WIMS is unable to recognize your web browser.

In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press ``Enter''.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

Description: computes the order of an irreducible polynomial over a finite field Fp. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: wims, mathematics, mathematical, math, maths, interactive mathematics, interactive math, interactive maths, mathematic, online, calculator, graphing, exercise, exercice, puzzle, calculus, K-12, algebra, mathématique, interactive, interactive mathematics, interactive mathematical, interactive math, interactive maths, mathematical education, enseignement mathématique, mathematics teaching, teaching mathematics, algebra, geometry, calculus, function, curve, surface, graphing, virtual class, virtual classes, virtual classroom, virtual classrooms, interactive documents, interactive document, algebra, coding, polynomial, finite field, irreducible, root, order, cyclic code