By Kristin Anderson.
ISBN-10: 9185457833
ISBN-13: 9789185457830
Read Online or Download Tree structures in broadcast encryption PDF
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Extra resources for Tree structures in broadcast encryption
Sample text
T ≤ n/2. It is quite easily seen that the worst case, requiring the greatest cover size, occurs when every other leaf in the tree represents a user in P and every other leaf represents a user in R. In other words, when the row of leaves consists of alternatingly white and black leaves. Then only the smallest SD subsets, those consisting of a single user, can be used and the cover size is then n/2. 1000 800 600 400 200 0 0 200 400 600 800 1000 Number of revoked users, r. 1024 users in total. 9. Three upper bounds on the cover size (number of required transmissions) when using the SD scheme.
We want to show that all maximal chains in Yˆ are in the subtrees of w ˆ so that the subtrees of w can be considered two independent cases of smaller SD trees with one transition each. 3 to the two smaller SD trees. w ˆ and the path between the root and w ˆ are on both qˆl and qˆr . Thus Yˆ is complete on the depth of w ˆ and above. Therefore there are no chains above or including w ˆ so all chains in Yˆ are below w. ˆ Thus every chain in Yˆ is either on qˆl or on qˆr , but not on both. w ˆ has two children, we call the left child w ˆl and the right child w ˆr .
The leftmost leaf and the rightmost leaf of a tree have only one neighbor each. We note that this is not the ordinary definition of a neighbor in a tree context but we will only discuss this kind of neighbors. 3 (Transition). A transition in a user profile U is the subsequence [01] or [10]. We will consider the number of transitions in user profiles and we will denote the number of transitions by v. It will frequently be convenient to discuss transitions in SD trees instead of in user profiles since user profiles and SD trees have a one-to-one correspondence.
Tree structures in broadcast encryption by Kristin Anderson.
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