Exercises Section 4.2. RSA Digital Signatures 4.1. Samantha uses the RSA signature scheme with primes p = 541 and q = 1223 and public verification exponent e= 159853. (a) What is Samantha's public modulus? What is her private signing key? (b) Samantha signs the digital document D 630579. What is the signature? 4.2. Samantha uses the RSA signature scheme with public modulus N = 1562501 and public verification exponent e = 87953. Adam claims that Samantha has signed each of the documents D = 119812, D'= 161153, D" 586036, and that the associated signatures are S = 876453, S' = 870099, S" = 602754. %3! %3D Which of these are valid signatures?

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