Member Leave Protocol Sample Clauses

Member Leave Protocol. When a Member Leave event happens, the key tree should be modified and some keys should be replaced for forward secrecy. Upon receiving the leaving message, all the members in the group will group key K1 ’=H (H (e(P, P)K11K21’ K31)K4 P). It is 2 1 2 1 update the key tree accordingly and decide on a sponsor. Xxxxxxx a member Uc is leaving the group. Upon receiving the member leaving request, all the members in the group will agree on a sponsor and update the key tree as follows. If the parent node of the member node originally assigned to the leaving member has more than two child nodes, than the member node assigned to the leaving member is removed directly, and the sponsor is the member associated with the rightmost remaining child node under the deleted member node's parent node. Otherwise, if the parent node of the member node assigned to the leaving member has only two child nodes, after the removal of the member node assigned to the leaving member, there is only one child node left. The member associated with this solitary node is promoted and re-associated with its parent node and will be the sponsor; this solitary node is no more necessary and is removed too. After updating the key tree, the sponsor, who knows all the necessary keys, will stand out and be responsible for the key refreshing. The sponsor computes and updates all the blinded keys and union blinded keys of the nodes on its key path. Then, the sponsor will broadcast these refreshed keys to all of the group members. After receiving the broadcast message, each legitimate member in the group can derive all the key generation keys on his/her key path, and all the legitimate members can obtain the same new group key. For example, as shown in Figure 4, there are thirteen members in this group and the member U7 clear that the key generation key K2 ’ and the group key K1 ’ are refreshed after the update, and the forward secrecy is guaranteed.
Sample 1
Member Leave Protocol. We again have a group of n members when a member Md ( d ≤ n ) leaves the group. If d > 1, the sponsor Ms is the leaf node directly below the leaving member, i.e., M d– 1. Otherwise, the sponsor is M 2 . Upon hearing about the leave event from the group communication system, each remaining member updates its key tree by deleting the nodes LN〈d 〉 corresponding to Md and its parent node IN〈d〉 . The nodes above the leaving node are also renumbered. The former sibling IN〈d –1 〉 of Md is promoted to replace (former) Md ’s parent. The sponsor Ms selects a new secret session random, computes all keys (and blinded keys) up to the root, and broadcasts BT〈s〉 to the group. This information allows all members to recompute the new group key. In summary, the leave protocol takes one communication round and involves a single broadcast. The cryptographic cost varies depending on two factors: 1) the position of the departed member, and 2) the position of the remaining member who needs to compute the new key. The total number of serial cryptographic operations in the leave protocol can be expressed as (assuming n is the original group size): ■ 2(n – d ) + 1 + ( n – d ) + 1 = 3n – 3d + 2 when d > 2 ■ 3n – 7 when d = 1,2 In the worst case, M1 or M 2 leave the group. The cost for this leave operation is equal to the leave of member M3, which is 3n – 7. The average leave cost is 3n /2 + 2. The leave protocol provides forward secrecy since a former member cannot compute the new key owing to the sponsor’s changing the session random. The protocol also provides key independence since knowledge of the new key cannot be used to derive the previous keys; this is, again, due to the sponsor refreshing its session random.
Sample 1

Related to Member Leave Protocol

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