Protocol Variables and Partner Relationship Sample Clauses

Protocol Variables and Partner Relationship. {U · · · U } The following revisited GKA definition derives from the widely-accepted ones due to [7,8,9,10,20]. Similarly to [20], we assume for simplicity a fixed, polynomial- size set P = 1, , A of potential players. Any subset of the potential players may decide at any point to establish a confidential channel among them, but we assume that these subsets are the same during a run of the protocol and con- centrate on static groups. 2 In some applications, this feature can be an advantage, e.g., intra-group authenti- cations. In our ASGKA protocol, intra-group authentication can be easily realized since the underlying primitive can be used as a signature scheme. {U · · · U } Whenever group membership changes, a new group Pv = 1, , n is formed and its members can establish a confidential channel through an instance performing a group key agreement protocol Σ: the index v increases whenever the membership changes and P0 denotes the initial group. Πıi denotes an instance Ui Ui ı of a group member U . An instance Πıi has a unique sUeission identifier Sidıi and a partner identifier Pid i . After the GKA protocol Σ has been terminated successfully, Πıi has a uniquUeidecryption key identifier Dkidıi corresponding to a decryption keyUi ıi , and a unique encryption key identifier Ui ıi corresponding dkUi ı ı i to an encryption key ek i , and a freshness identifier Fid i repreUsenting whether P dkıi is compromised. IUf inot, Fidıi = 1; else Fidıi = U0i. Finally, the partner ideUnitifier Pidıi Ui corresponds to a sUeit of group membUiers ıi Ui = Pv \ {Ui}. tocol Σ has been successfully terminated in the instance Πıi if for 1 ≤ k ƒ= i ≤ n, Pid (1) each U of Pıi has instance Πık containing {Sidık , Uiık , Dkidık , Ekidık }; Uıi Uk Uk (2) Sid k = Sid i ; (3) P k = Pv \{Uk}. In this case, we staUte that tUhe instanUces Πıi andUk ık areUipartnerUekd.
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