Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the basic definition of a cyclic group?
💡 Hint: Think about how one element can generate all others.
Question 2
Easy
What is the discrete logarithm of 1 to any base?
💡 Hint: Remember the property of logarithms.
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 discrete logarithm in a cyclic group?
- The base of the logarithm
- The exponent that generates an element
- The order of the group
💡 Hint: Think of which part of the equation represents the exponent.
Question 2
The logarithm of 1 in a cyclic group is always _____.
- True
- False
💡 Hint: Recall the property of logarithms.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a cyclic group of order 11 and generator g = 2, calculate the discrete logarithm of y = 8.
💡 Hint: Iterate powers of the generator until you match y.
Question 2
Explain why it is computationally harder to determine the discrete logarithm in groups defined by multiplication modulo a prime compared to addition modulo a prime.
💡 Hint: Think about how the outputs of multiplication can change drastically with slight changes in the input.
Challenge and get performance evaluation