Practice Setup of Shamir’s Secret Sharing Scheme - 2.1 | Basics 23 | Discrete Mathematics - Vol 3
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Setup of Shamir’s Secret Sharing Scheme

2.1 - Setup of Shamir’s Secret Sharing Scheme

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does 'n' represent in Shamir's Secret Sharing?

💡 Hint: Think of it as the number of people holding a key.

Question 2 Easy

What is the main purpose of secret sharing?

💡 Hint: Consider why it's important not to trust just one person.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the term (n, t) signify in secret sharing?

n: number of parties
t: minimum needed to reconstruct
t: number of parties
n: maximum allowed
n: party identifiers
t: total shares

💡 Hint: Think about what these letters usually represent in mathematics.

Question 2

True or False: If one party knows a share, they can reconstruct the secret.

True
False

💡 Hint: Consider how many pieces of the puzzle are needed to complete it.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are required to design a secret sharing scheme for five parties where at least three are needed to reveal the secret. Describe your polynomial setup and how shares are distributed.

💡 Hint: Think about polynomial properties and how evaluating at different points works.

Challenge 2 Hard

Explain how the security of Shamir's scheme is upheld when parties with fewer than 't' shares attempt to reconstruct the secret.

💡 Hint: Reflect on polynomial characteristics in relation to degrees and roots.

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Reference links

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