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Consider the following Fail-Stop signature scheme which is defined over Z; Key Generation Public Key: Y1 = g'y? (mod p) Y2 = gor you y62

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Consider the following Fail-Stop signature scheme which is defined over Z; Key Generation Public Key: Y1 = g'y? (mod p) Y2 = gor you y62 (mod p) where y = g. g denotes a generator of Z, and y is a random element from Z>. The private key is (a1, 42, b1,b2). Signing 01 = aim+bi (mod q) 02 = a2m + b2 (mod q) where qp 1. Verification = y" y2 glyo? (mod p) Suppose p = 3467, g = 4, y = 514. Suppose the private key is (ai, az, 61, 62) (888, 1024, 786, 999). Let the public key (41, 42) = (3405, 2281). Suppose the signer is presented with a forged signature (822,55) on the message 3383. The signer will need to provide a proof of forgery by calculating the value of ao. What is the value of ao

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