4.4. Suppose that Alice and Bob communicate using the RSA PKC. This means that Alice has a public modulus NA = PAqA, a public encryption exponent eд, and a private decryption exponent dд, where PA and q are primes and eд and dд satisfy eдdд = 1 (mod (pa − 1)(qa − 1)). Similarly, Bob has a public modulus NB = PBqB, a public encryption expo- nent eg, and a private decryption exponent dB. In this situation, Alice can simultaneously encrypt and sign a message in the following way. Alice chooses her plaintext m and computes the usual RSA ciphertext ев c=m²B (mod NB).

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