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?

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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?
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.
Which of these are valid signatures?
Transcribed Image Text: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? 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. Which of these are valid signatures?
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