Question: (b) In a (4, 41) Shamir threshold scheme working modulo the prime 229, the shares (1, 9), (2, 27), (3, 81), and (4, 243) were

(b) In a (4, 41) Shamir threshold scheme working modulo the prime 229, the shares (1, 9), (2, 27), (3, 81), and (4, 243) were given to Alice, Bob, Jerry, and Charles. Calculate the corresponding Lagrange interpolation polynomial p(x) modulo 229; that is, write p(x) = do + a1x + a2x2 + a3x3 with do, a1, a2, a3 E Z229. Also, identify the secret

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