Following the idea of Exercise 31, show that there exists a field of 8 elements; of 16
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Following the idea of Exercise 31, show that there exists a field of 8 elements; of 16 elements; of 25 elements.
Data from Exercise 31
Show that there exists an irreducible polynomial of degree 3 in Z3[x].
Show from part (a) that there exists a finite field of 27 elements.
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