ABSTRACT
It was shown in Section 2.3 that the set of integers {0, 1, …, M − 1} forms the finite integer ring Z(M) when the arithmetic operation defined modulo M. If M is prime, then we have a finite field GF(p). Finite fields and the cyclotomie polynomial factorization in them were studied in Chapter 6. In this chapter, we consider the last type of number system that is the finite integer ring Z(M) and its extension rings, where M is composite. In essence, we employ the CRT-I and the finite field properties to obtain various results in finite integer rings.
