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3 cards from this section. Quick, good the night before a test.
What is the characteristic of a finite field?
Think about how often you need to add 1 before you get 0.
Define a multiplicative inverse.
Can you think of any examples of such elements?
What is the characteristic of a finite field?
Remember that characteristics involve addition leading to zero.
True or False: Every non-zero element in a finite field has a unique multiplicative inverse.
Think about the definitions we've discussed.
Given a finite field with characteristic 5, find the order of the field if r = 3. Prove the validity of your answer.
Remember the form pr for field order.
Construct a finite field from the polynomial x^2 + 1 over GF(3). Identify all elements and calculate the multiplicative inverse of 2.
Utilize the polynomial to generate elements and assess their relationships.
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