The consortium are interested in implementing signatures into the crypto-system. The goal is to provide an authentication mechanism which allows a recipient to see from whom the message originated. The consortium leader considers several options for how to implement this mechanism. State whether or not each option is secure, and provide a justification. Suppose Aldebaran wishes to send a message to Borealis, and Aldebaran possesses a signing keypair (sk′A, pk′A). (Hint: think about what eavesdroppers can learn about the identities of senders) Aldebaran computes σ = Sign(sk′A, m), andcσ = Enc(pkC, Enc(pkB, σ)). Aldebaran sends cσ along with their usual broadcast,(pkC, cdest, cmsg). Chandra performs her usual steps, as well as decrypting to obtain c′σ = Dec(skC, cσ). She sends it along with her usual broadcast, (pkB, c′msg) for Borealis. Lastly, Borealis, who will receives the message m, now also obtains σ =Dec(skB, c′σ). Borealis believes the message should have come from Aldebaran. He runs Verify(pk′A, m, σ) and is satisfied only if the signature accepts.
Question
The consortium are interested in implementing signatures into the crypto-system. The goal is to provide an authentication mechanism which allows a recipient to see from whom the message originated. The consortium leader considers several options for how to implement this mechanism. State whether or not each option is secure, and provide a justification. Suppose Aldebaran wishes to send a message to Borealis, and Aldebaran possesses a signing keypair (sk′A, pk′A). (Hint: think about what eavesdroppers can learn about the identities of senders) Aldebaran computes σ = Sign(sk′A, m), andcσ = Enc(pkC, Enc(pkB, σ)). Aldebaran sends cσ along with their usual broadcast,(pkC, cdest, cmsg). Chandra performs her usual steps, as well as decrypting to obtain c′σ = Dec(skC, cσ). She sends it along with her usual broadcast, (pkB, c′msg) for Borealis. Lastly, Borealis, who will receives the message m, now also obtains σ =Dec(skB, c′σ). Borealis believes the message should have come from Aldebaran. He runs Verify(pk′A, m, σ) and is satisfied only if the signature accepts.
Solution
This option is secure. The reason is that the signature σ is encrypted twice, first with Borealis's public key and then with Chandra's public key. This double encryption ensures that an eavesdropper cannot learn the identity of the sender (Aldebaran) by intercepting the message. Only Borealis, who has the corresponding private keys, can decrypt the signature and verify that the message came from Aldebaran. This method provides a secure authentication mechanism because it prevents eavesdroppers from learning the identities of the sender and receiver, and it allows the receiver to verify the sender's identity.
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(15 marks) One of the approaches below is ”secure”. For each approach, state Secure or Insecure, and explain why that approach does or does not achieve the two desired notions of confidentiality described above. (a) Aldebaran computes c = Enc(pkB , m) and broadcasts (pkB , c). Borealis observes the broadcast containing their public key and obtains the message as m = Dec(skB , c).
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ohn recently received an email message from Bill. What cryptographic goal would need to be met to convince John that Bill was actually the sender of the message?Group of answer choicesAvailabilityIntegrityConfidentialityNonrepudiation
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