Let be an irreducible polynomial of degree
over a prime finite field . The order of
is the smallest positive integer such that divides .
is also equal to the multiplicative order of any root of . It is a
divisor of . The polynomial is a primitive polynomial if
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.
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- Description: computes the order of an irreducible polynomial over a finite field Fp. interactive exercises, online calculators and plotters, mathematical recreation and games
- Keywords: interactive mathematics, interactive math, server side interactivity, algebra, coding, polynomials, finite_field, factorization, roots, order, cyclic_code