The Non-Robust Protocol‌ Sample Clauses

The Non-Robust Protocol‌. Well-formedness via hashing. The next goal is to prevent the adversary from successfully injecting (using leaked states) malformed control messages. This is not a problem for our proposal messages, since they only contain public information, which can be easily verified.27 However, commit and welcome messages both contain a number of ciphertexts of (supposedly) related data, only part of which can be decrypted by a given party. The following simple solution to this problem provides security, but not robustness. Consider first commit messages, which contain a number of public keys and a number of ciphertexts, used by a party to derive his slice of corresponding secret keys and the new group key. While validity of derived secret keys can be verified against the public keys, this is not the case for the group key. Hence, we add to the message an analogue of a public-key for the group key — we use hash functions H6 and H7 and whenever a party is ready to send a commit c creating an LT τ , it attaches to c a confirmation key H6(c, x.xxxxxx) (recall that grpkey is the label in the root of τ ). The actual group key for the new epoch is then defined to be H7(τ.grpkey). The group key and all derived secret keys are then verified by the proc algorithm against the confirmation key and the public keys, accordingly. Second, a welcome message contains the public part of the LT τpub, encryption of the new member’s slice of the secret part and the commit message c. The join algorithm performs the same checks as proc: it verifies the decrypted secret keys against the public keys in τpub and the decrypted τ.grpkey against the confirmation key in c. Putting it all together. Combining the above techniques results in our first protocol, P-Act. In particular, a commit in P-Act is computed as follows: (1) Generate the message c as in the 26 Recall that the functionality identifies epochs by c, so in order for the simulator to determine the epoch for injected welcome messages, it has to contain the whole c.‌ 27 Note that the validity of the public-key contained in add-proposals cannot be verified at all without the protocol interacting with an identity PKI, which is not considered in our model. ←
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