2.2. Proof of Privacy in Shamir’s Secret Sharing

Try these first

1. 1.

   What does the (n, t) model signify in Shamir's Secret Sharing?

   Hint

   Remember the terms 'n' and 't' relate to parties and thresholds.

2. 2.

   Why are finite fields used in the secret sharing scheme?

   Hint

   Think about what happens with larger number sets.

3. 3.

   What does '(n, t)' represent?

   • Number of shares
   • threshold
   • Number of parties
   • threshold
   • Maximum shares possible

   Hint

   Think about what each letter stands for.

4. 4.

   Using shares from Shamir’s scheme provides security because...

   • True
   • False

   Hint

   Reflect on why partial information could be harmful.

5. 5.

   If a dealer wants to distribute a secret using Shamir’s scheme with 5 shareholders and a threshold of 2, outline the steps for distribution and the security measures in place.

   Hint

   Consider how each shareholder can only know their own share.

6. 6.

   How can Shamir's scheme be applied to a practical scenario, such as voting or secure document sharing? Illustrate your answer with a clear example.

   Hint

   Think of different ways groups need to collaborate for important decisions.