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Eve wants to decipher the ciphertext c that Alice sent Bob using Bob's RSA key ( N , e ) . Eve manages to sneak

Eve wants to decipher the ciphertext c that Alice sent Bob using Bob's RSA key (N, e). Eve manages to
sneak in and use Bob's decryption computer. Luckily, Bob has programmed his computer to remember all of
the ciphertexts it has decoded and not allow them to be decoded again, so Eve cannot ask it to decipher the
message c. Instead, she asks the computer to decipher the message 2
e
c, yielding the deciphered message w.
She can use w to nd Alice's original plaintext m very quickly: how?

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