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Koorde : ウィキペディア英語版
Koorde
In peer-to-peer networks, Koorde is a Distributed hash table (DHT) system based on the Chord DHT and the De Bruijn graph (De Bruijn sequence). Inheriting the simplicity of Chord, Koorde meets O(log n) hops per node (where n is the number of nodes in the DHT), and O(log n/ log log n) hops per lookup request with O(log n) neighbors per node.
The Chord concept is based on a wide range of identifiers (e.g. 2^160) in a structure of a ring where an identifier can stand for both node and data. Node-successor is responsible for the whole range of IDs between itself and its predecessor.
==De Bruijn's graphs==

Koorde is based on Chord but also on De Bruijn graph (De Bruijn sequence).
In a d-dimensional de Bruijn graph, there are 2d nodes, each of which has a unique d-bit ID. The node with ID i is connected to nodes 2i modulo 2d and 2i+1 modulo 2d. Thanks to this property, the routing algorithm can route to any destination in d hops by successively "shifting in" the bits of the destination ID but only if the dimensions of the distance between modulo 1d and 3d are equal.
Routing a message from node m to node k is accomplished by taking the number m and shifting in the bits of k one at a time until the number has been replaced by k. Each shift corresponds to a routing hop to the next intermediate address; the hop is valid because each node's neighbors are the two possible outcomes of shifting a 0 or 1 onto its own address. Because of the structure of de Bruijn graphs, when the last bit of k has been shifted, the query will be at node k. Node k responds whether key k exists.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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