Word Count : 388

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The ElGamal digital signature scheme works as follows: we are given the public parameters ( p = 47 ), ( \alpha = 2 ), Alice's secret key ( a = 7 ), and her public key ( \beta = 34 ). Alice wants to sign the message ( \mathcal{M} = 20 ) using a random secret ( k = 5 ) that is coprime ______ _______ ________ _____ __________ _________ _____ ________ _________ ___ _____ _____.
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