The Hypercube and Octopus Protocols Sample Clauses

The Hypercube and Octopus Protocols. The Hypercube protocol was presented by Xxxxxx and Xxxxxx (1998) and intent to overcome the high number of messages needed by logically arranging the nodes in a hypercube. For a network consisting of four nodes positioned as a square, a key is established between A and B (i.e. gSaSb ), and another key between C and D (i.e. gScSd ). These keys are used to establish a single key, ggSaSb·gScSd , among the four entities, as presented in Figure 2.4. This behavior can be generalized for higher numbers of nodes, as long as the number of participants equals 2d, for d ∈ I. This protocol executes in d rounds. The Octopus protocol is an extension of the Hypercube protocol for networks with an arbitrary number of nodes. A subgroup of nodes is arranged in a hypercube, composing a core. Each core node establishes a key with each nearby non-core node using the Xxxxxx-Xxxxxxx protocol. The product of these keys is used to establish a key among the core nodes as specified by the Hypercube protocol. This key is then distributed to the other nodes. A C A gSaSb B C gScSd D (gSaSb)(gScSd) g B D Figure 2.4 Hypercube protocol for n = 4
Sample 1
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