Knowledge check

Shamir's Secret Sharing

10 questions testing what you just read — no login, no tracking, just immediate feedback.

Question 1 of 10

What does a (k, n)-threshold secret sharing scheme guarantee?

Question 2 of 10

What mathematical fact is Shamir's scheme built on?

Question 3 of 10

Where in the polynomial f(x) = s + a₁x + a₂x² + ... is the secret hidden?

Question 4 of 10

What technique reconstructs the secret from k shares?

Question 5 of 10

What kind of security guarantee does Shamir's scheme provide below the threshold?

Question 6 of 10

Why does this mean a quantum computer running Shor's algorithm gains nothing against k−1 shares?

Question 7 of 10

In splitting a secret with threshold k, how many random coefficients does the dealer choose?

Question 8 of 10

What happens to the polynomial and its coefficients after shares are distributed?

Question 9 of 10

Which of these is NOT a real-world use of Shamir's secret sharing mentioned in this module?

Question 10 of 10

If a secret is shared with threshold k = 5, how many shares can be lost or unavailable while still allowing reconstruction from n = 8 total shares?

0 / 10 answered