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Polynomial order

Polynomial order

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