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4 cards from this section. Quick, good the night before a test.
What is the order of a finite field with characteristic 5?
Remember the pattern of powers.
Define what a minimal spanning set is.
Think about essential elements needed.
What is the characteristic of a finite field?
Think about what defines the field's operations.
True or False: The number of elements in a finite field can be any integer.
Recall the definition of order.
Given p=5 and r=2, construct the finite field and demonstrate why the minimal spanning set must include at least two elements.
Focus on the relevance of irreducibility.
Propose a general method for finding a minimal spanning set for any finite field of order p^r.
Consider linear combinations and independence.
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