Number of Keys Sample Clauses

Number of Keys. The number of keys is another important consideration when we evaluate group key agreement protocols. We consider the worst case when the underlying key tree is full and highly balanced. Table 5 summarizes the numbers of keys and their types adopted in [20], [10], and the proposed scheme, where n is the number of members in the communication group. The number of keys is correlated with the total number of nodes in the underlying key tree. Since the underlying key tree considered in this analysis is full and balanced, in order to handle a system of n members, there are 2n-1, (3n-1)/2, and (4n-1)/3 nodes in the binary tree, ternary tree, and quad tree, respectively. Public keys known to all the members in the group, including blinded keys and union blinded keys, should be published in a public domain or kept by each member. Therefore, the number of public keys is a good indicator and is also what we have compared among the schemes (see Table 5). As the table suggests, in terms of the number of public keys, the move from binary tree to ternary tree does mean more efficiency. However, due to the additional use of union blinded keys, our quad tree protocol needs a bit more public keys than the ternary tree. With all the keys counted, our new scheme has approximately the same number as [10] with the binary tree left far behind. Table 5: Total number of keys and blinded keys Binary Ternary Ours Nodes 2n-1 (3n-1)/2 (4n-1)/3 KGKs 2n-1 (3n-1)/2 (4n-1)/3 BKs 2n-1 (3n-1)/2 (4n-1)/3 Public keys 2n-1 (3n-1)/2 5(4n-1)/12
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Number of Keys. ONE each (1)
Number of Keys. Minimum of 101 keys, with a separate numeric

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