What consequences do would arise if Nancy shared her private key with matthew
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Bob decides it is time to use RSA public key encryption to share secret messages with his friends. Bob is loyal to Alice and will never knowingly reveal her messages to anyone. Eve is also Bob's friend and wants to decipher the message that Alice sent Bob. Eve knows that Bob will not reveal Alice's plaintext. But she convinces Bob to agree to decipher a string of bits that is different from Alice's ciphertext. Bob agrees. Eve is thrilled because now she can decipher Alice's message! Explain how Eve can do this. To get started, let (n, e) and (n, d) be Bob's public and private keys. Let Alice's plaintext message be m so that the corresponding ciphertext (which Eve can see) is c = m (mod n). Wow, if Eve gives Bob a string of bits X, he will give Eve X (mod n). Knowing c, how should Eve construct X so that from Bob's response she can recover m?
Akash M.
4. Alice spent some time making sure she had a selection of "strong primes" for her RSA parameters. Since Alice and Bob are very friendly, Alice let Bob use some of this research. In fact, Bob chose one of Alice's primes p A = p (but used a different qB) in forming his modulus nB Just to "be safe", Bob and Alice chose different prime values for the exponents eA and ep If Eve suspects something like this and of course she has access to the publicly available n A, nB, e A, and e, can she exploit this information and if so, how?
Mauya M.
Problem 1. Bob decides it is time to use RSA public key encryption to share secret messages with his friends. Bob is loyal to Alice and will never knowingly reveal her messages to anyone. Eve is also Bob's friend and wants to decipher the message that Alice sent Bob. Eve knows that Bob will not reveal Alice's plaintext. But she convinces Bob to agree to decipher a string of bits that is different from Alice's ciphertext. Bob agrees. Eve is thrilled because now she can decipher Alice's message! Explain how Eve can do this. To get started, let (n, e) and (n, d) be Bob's public and private keys. Let Alice's plaintext message be m so that the corresponding ciphertext (which Eve can see) is c = m^e (mod n). Now, if Eve gives Bob a string of bits X, he will give Eve X^d (mod n). Knowing c, how should Eve construct X so that from Bob's response she can recover m?
Adi S.
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