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2 cards from this section. Quick, good the night before a test.
What is the order of the finite field ℤ5?
Recall that the order is the number of elements.
What is meant by the characteristic of a finite field?
Think about addition within the field.
What is the order of a finite field with characteristic 7?
Think about prime powers.
True or False: The characteristic of a finite field can be a composite number.
Consider what defines a field.
Construct a finite field with characteristic 3 and of order 3^2.
Make sure your polynomial cannot be factored over ℤ.
Show that the mapping from ℤr(p) to F is a bijection.
Use definitions of injectivity and surjectivity to support your argument.
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