Word Count : 265

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A field with 125 elements must have order (125 = 5^3), since the number of elements in a finite field is always a power of a prime. Here, (p = 5) and (n = 3). To construct the field ( \mathbb{F}_{5^3} ), start with _______ _____ ________ _______ ___ ______ _____ _____ _________ ______ ________ _________.
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