# Chapter 22

#### *Exercise 2*. This software tests fourth degree
polynomials over *Z*_{p} for *p* = 2 or 3 for irreducibility. When a polynomial
*f(x)* is irreducible the software finds a generator for the cyclic group
of nonzero elements of the field *Z*_{p}[*x*]/<*f(x)*>
and creates a conversion table for addition and multiplication similar to
*Table 22.1* in the text.