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10. Consider Shamir's secret sharing scheme for 5 participants with threshold +=3. Using the public values x; = i. All values are assumed to be
10. Consider Shamir's secret sharing scheme for 5 participants with threshold +=3. Using the public values x; = i. All values are assumed to be in Z37. Assume that participant 2 holds the private share y2 = 13, participant 3 holds the private share y3 = 23, and participant 4 holds the private share y4 = 2. a. Help the three participants to restore the shared secret K. b. Help other participants compute the private shares. c. If participant 5's and participant l's the private shares are exposed, could the passive attacker restore the shared secret K? How about the active attacker, such as participant 2? 10. Consider Shamir's secret sharing scheme for 5 participants with threshold +=3. Using the public values x; = i. All values are assumed to be in Z37. Assume that participant 2 holds the private share y2 = 13, participant 3 holds the private share y3 = 23, and participant 4 holds the private share y4 = 2. a. Help the three participants to restore the shared secret K. b. Help other participants compute the private shares. c. If participant 5's and participant l's the private shares are exposed, could the passive attacker restore the shared secret K? How about the active attacker, such as participant 2
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