Practice Shamir's (n, t) Secret Sharing Scheme - 1.3 | Basics 23 | Discrete Mathematics - Vol 3
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Shamir's (n, t) Secret Sharing Scheme

1.3 - Shamir's (n, t) Secret Sharing Scheme

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does n represent in the (n, t) secret sharing model?

💡 Hint: What does the 'n' signify?

Question 2 Easy

List one practical example where secret sharing may be useful.

💡 Hint: Think of scenarios where multiple people have access to sensitive information.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does 't' represent in the (n, t) secret sharing scheme?

Total shareholders
Threshold for reconstruction
Secret value

💡 Hint: What threshold must be met for the secret to be recovered?

Question 2

True or False: Any group of fewer than t shareholders can reconstruct the secret.

True
False

💡 Hint: Remember the rules of polynomial degree.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If the dealer selects a polynomial of degree 3 and has 5 shareholders, what is the minimum number of shareholders required to securely reconstruct the secret?

💡 Hint: Remember the relationship between polynomial degree and necessary shares.

Challenge 2 Hard

Demonstrate how two distinct quadratic polynomials can only intersect at a maximum of 2 points. Use a visual example to support your explanation.

💡 Hint: Visualize the properties of parabolas and the laws of intersection.

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