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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the order of the finite field ℤ5?
💡 Hint: Recall that the order is the number of elements.
Question 2
Easy
What is meant by the characteristic of a finite field?
💡 Hint: Think about addition within the field.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the order of a finite field with characteristic 7?
- 7
- 14
- 7^2
💡 Hint: Think about prime powers.
Question 2
True or False: The characteristic of a finite field can be a composite number.
- True
- False
💡 Hint: Consider what defines a field.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a finite field with characteristic 3 and of order 3^2.
💡 Hint: Make sure your polynomial cannot be factored over ℤ.
Question 2
Show that the mapping from ℤr(p) to F is a bijection.
💡 Hint: Use definitions of injectivity and surjectivity to support your argument.
Challenge and get performance evaluation