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 = .

The most recent version

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.