By Bogert M.T., Chertcoff M.

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2 0 0 1000 2000 3000 4000 5000 6000 7000 8000 #Leafs in CAG Figure 4-6: Category-based GKM: maximum user key storage Since the keys from child nodes are given to their parents, the fewer leafs we have the more keys per user we get, as shown in Figure 4-5 (on average) and Figure 4-6 (maximum). Note that we have computed the average number of keys per user in the conditions of only one user per category. If there are more than one user per category the distribution of keys per user can change very much and can greatly influence the average.

C = {c1, c2, … cM} and ≺ is a reflexive partial order. This is the general case. The controller knows that some order exists among some of the categories, where other categories are incomparable. Solutions for this case do not exist in previous the work. 4. C = {c1, c2, … cM} and ≺ = {}i=1, M. In this case, the controller cannot make any assumption regarding the order the categories are going to be excluded. Leaving the multicast group happens in an unpredictable manner. No prior knowledge is available about how much access one category has compared to another.

This is schematically presented in Figure 3-7. Collusion resistance perfect resistance low cost ideal functioning point high cost Resource cost perfect resistance, high cost flexible key management schemes no resistance no resistance, low cost Figure 3-7: Security and efficiency space However, applications may have certain assumptions regarding members and accessibility to the multicast channel. Based on this we argue that more flexible key management schemes should be designed to balance the given collusion constraints against efficiency, filling the gap between the two extreme positions taken by current key management mechanisms.

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