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1. In a (3, 7') Shsrnir secret sharing scheme with modulus 59, three of the shares are (5, 11), (10, 43) and (20, 34). Another

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1. In a (3, 7') Shsrnir secret sharing scheme with modulus 59, three of the shares are (5, 11), (10, 43) and (20, 34). Another share is (7, k), but the value of k is unreadable. Find the correct value of It (3 marks). Verify your result with Maple (2 marks). 2. The general formula for a plane in the 3D space is z = ax + by + c, where a, b, c are the parameters. Alice encodes three English words to three numbers by using the Maple command \"text2num\". She then set up a (3 ,4) secret sharing scheme with the idea of the Blaklev method. The four shares are four planes given by: z = 4}: +19}: + 2515211725225120 (mod 2515211819051461) z = 52K + 2?}? + 2515210613496048 (mod 2515211819051461) z = 36K + 65y + 2515210981587340 (mod 2515211819051461) z = 6): + 60y + 2515211626449260 (mod 2515211819051461). Find the secret English words of Alice with Maple command (2 marks)

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