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. 

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