Course Solutions Uncategorized (Solved) : 3 Shamir Secret Sharing Consider 5 10 Secret Sharing Scheme Working Zp P8675309 Shares 10 Q32430973 . . . .

(Solved) : 3 Shamir Secret Sharing Consider 5 10 Secret Sharing Scheme Working Zp P8675309 Shares 10 Q32430973 . . . .

 

Applied Cryptography

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3 Shamir Secret Sharing Consider a (5,10) secret sharing scheme working in Zp with p8675309. The shares are (10:30) (11, 1751465) i,) (22, 8375276) (72. 12)-(33, 2902948) (хз, Уз) (44, 126321) (44)55, 3311225) (TVs) (66, 4197480) (26,%) = (77, 349514) 7r) (88, 3831672) ( s)99, 6506980) (a) (111,6366157) The shares are also found in the provided shamir.data file. Answer each of the questions. Include the code you used for the computations (or show a trace of the work that leads to he answers) a) Compute the secret s. Do this twice using different subsets of the shares b) Add a new share with xo = 1234. What is its corresponding yo = f(zo) = f(1234) value? c) How many values of x E Zp satisfy f(x)-123456?

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shamir.data

11,1751465
22,8375276
33,2902948
44,126321
55,3311225
66,4197480
77,349514
88,3831672
99,6506980
111,6366157

3

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