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13.6 In Shamir's secret sharing scheme, let the private polynomial be f(x) = 3x³ + 5x + 2 mod 7, to implement (4,5)-secret sharing. What are the shares for shareholders with x₁ = 2, x2 = 4, x3 = 3, x4 = 5, x5 =7? • How to recover the secret from S₁ = f(x₁), S₂ = f(x₂), S3 = f(x3), S5 = f(x5)? • Can Sg = f(x8) be evaluated directly from given S₁, S2, S3, S4? How to ?

13.6 In Shamir's secret sharing scheme, let the private polynomial be f(x) = 3x³ + 5x + 2 mod 7, to implement (4,5)-secret sharing. What are the shares for shareholders with x₁ = 2, x2 = 4, x3 = 3, x4 = 5, x5 =7? • How to recover the secret from S₁ = f(x₁), S₂ = f(x₂), S3 = f(x3), S5 = f(x5)? • Can Sg = f(x8) be evaluated directly from given S₁, S2, S3, S4? How to ?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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13.6 In Shamir's secret sharing scheme, let the private polynomial be f(x) = 3x³ + 5x + 2 mod 7, to implement (4,5)-secret sharing. • What are the shares for shareholders with x₁ = 2, x₂ = 4, x3 = 3, x4 = 5, x5 =7? How to recover the secret from s₁ = f(x₁), S₂ = f(x₂), S3 = f(x3), S5 = f(x5)? • Can Sg = f(xs) be evaluated directly from given S₁, S2, S3, S4? How to ?
Transcribed Image Text:13.6 In Shamir's secret sharing scheme, let the private polynomial be f(x) = 3x³ + 5x + 2 mod 7, to implement (4,5)-secret sharing. • What are the shares for shareholders with x₁ = 2, x₂ = 4, x3 = 3, x4 = 5, x5 =7? How to recover the secret from s₁ = f(x₁), S₂ = f(x₂), S3 = f(x3), S5 = f(x5)? • Can Sg = f(xs) be evaluated directly from given S₁, S2, S3, S4? How to ?
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