GROUP KEY ESTABLISHMENT Sample Clauses

GROUP KEY ESTABLISHMENT. The tree-based group Diffie–Xxxxxxx (TGDH) protocol [5] is used to establish the group key in a dynamic peer group. Each member maintains a set of keys, which are arranged in a hierarchical binary tree. A node ID v is assigned to every tree node. For a given node v a secret (or private) key KV and a blinded (or public) key BKV are associated. All arithmetic operations are performed in a cyclic group of prime order p with the generator α. Therefore, the blinded key of node v can be generated by BKV = αKV mod p (1) Each leaf node in the tree corresponds to the individual secret and blinded keys of a group member. Every member holds all the secret keys along its key path starting from its associated leaf node up to the root node. Therefore, the secret key held by the root node is shared by all the members and is regarded as the group key. The node ID of the root node is set to 0. Each nonleaf node v consists of two child nodes whose node ID’s are given by 2v+1 and 2v+2. Based on the Diffie–Xxxxxxx protocol, the secret key of a nonleaf node can be generated by the secret key of one child node of v and the blinded key of another child node of v. KV = (BK2v+1 )K2V +2 mod p = (BK2v+2 )K2V +1 mod p = α K2V +1 K2V +2 mod p (2) Unlike the keys at non leaf nodes, the secret key at a leaf node is selected by its corresponding group member through a secure pseudo random number generator. Since the blinded keys are publicly known, every member can compute the keys along its key path to the root node based on its individual secret key. 3 4 M3 5 6 M6
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GROUP KEY ESTABLISHMENT. Modeling
Sample 1

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