Polynomial order

Let P be an irreducible polynomial of degree d1 over a prime finite field 𝔽 p. The order of P is the smallest positive integer n such that P(x) divides x n1. n is also equal to the multiplicative order of any root of P. It is a divisor of p d1. The polynomial P is a primitive polynomial if n=p d1.

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.

: over the finite field 𝔽 p of characteristics
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.