Basic Modifications of the Passive Protocol Sample Clauses

Basic Modifications of the Passive Protocol. ‌ Authentication. The goal of the first modification is to prevent injections whenever they are not inherent given correctness. More precisely, the adversary should be able to make some party accept a message as coming from id in epoch c only if id’s state in c is exposed (in the sense of the safe predicate). We achieve this using key-updatable signatures (KUS) [29], a signature analogon of HIBE, where verification additionally takes an identity vector and signing keys can be updated to lower-level ones, for longer identity vectors (just like HIBE decryption keys).25 See Appendix A.4 for the definition. We first modify the group state: each leaf in the LT has two additional labels: a KUS verification key spk and a corresponding signing key ssk for the leafs identity vector i˙d (the same one as for
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Basic Modifications of the Passive Protocol. Authentication. The goal of the first modification is to prevent injections when- ever they are not inherent given correctness, i.e., the adversary should be able to make some party accept a message as coming from id in epoch c only if id’s state in c is exposed (in the sense of the safe predicate). We achieve this using key-updatable signatures (KUS) [21], a signature analogon of HIBE, where ver- ification additionally takes an identity vector and signing keys can be updated to lower-level ones, for longer identity vectors. To this end, we modify the group state with each leaf in the LT getting two additional labels: a KUS verification key spk and a corresponding signing key ssk for the leafs identity vector i→d (the same one as for HIBE). The leaf’s KUS keys live alongside its HIBE keys: each update and commit of the user id assigned to the leaf contains a fresh spk, and whenever id processes a commit message c, he updates ssk using the identity c. All messages sent by id are signed with his current signing key and verified by receiving parties respectively. Accordingly, the PKI key generation outputs an additional KUS key pair for the new member. Binding control messages to epochs. The actively secure protocols have to ensure that control messages are not used of context, e.g., trying to process a commit message that does not originate from the current state, or using a proposal be- longing to a different epoch in a commit message. This is achieved by each control message (commit or proposal) contains an epoch id epid, which is simply a hash of the last commit message, and additionally each commit message containing a hash of the list of committed proposals.

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