Scalable SGRS for Larger Group Sample Clauses

Scalable SGRS for Larger Group. For each join and leave message, we are required to perform a hash operations proportional to the group size. SGRS may encounter a scalability problem when the group size reaches millions of users. For instance, in a group of one million members, each member must maintain a state vector of 999999 nonce instances. In terms of memory consumption, this will require approximately 40MB, which is not an issue for modern end-user devices, but for each leave and join event, the protocol requires the performance of nearly one million hash operations. With such a large group size, the probability of the occurrence of a leave or join event also increases. The problem of scalability can be solved by dividing the large group into smaller cascaded groups arranged in multiple layers, as shown in Figure 9. Let us consider 𝑁 number of members divided into 𝑘 number of groups with each group 𝐺 𝐺
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Scalable SGRS for Larger Group. For each join and leave message, we are required to perform a hash operations proportional to the group size. SGRS may encounter a scalability problem when the group size reaches millions of users. For instance, in a group of one million members, each member must maintain a state vector of 999999 nonce instances. In terms of memory consumption, this will require approximately 40MB, which is not an issue for modern end-user devices, but for each leave and join event, the protocol requires the performance of nearly one million hash operations. With such a large group size, the probability of the occurrence of a leave or join event also increases. The problem of scalability can be solved by dividing the large group into smaller cascaded groups arranged in multiple layers, as shown in Figure 9. Let us consider number of members divided into number of groups with each group () having its group key ( ∀ = 1,2,3. . ) shared and generated, as discussed in relation to the SGRS protocol suite. All of these groups can generate a supergroup () by considering each group () as a logical member of the supergroup and considering the corresponding group key as their secret nonce. With this type of arrangement, all of the groups and group members share a common group key generated at the supergroup level. The supergroup () can further be cascaded to generate an ultra-supergroup (), and so on.

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