How Kademlia Uses XOR Math to Power BitTorrent, IPFS, and Ethereum

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Kademlia is a distributed hash table (DHT) algorithm that uses XOR-based distance to build decentralized peer-to-peer networks without any central server. Each node maintains a small routing table of logarithmic size, divided into buckets based on XOR distance ranges, allowing the network to locate any resource in a logarithmic number of hops. The algorithm powers widely used systems including BitTorrent, IPFS, and Ethereum's peer discovery and storage layers. When searching for a target, Kademlia queries multiple peers in parallel and iteratively narrows in on the closest known nodes until the target is found. Its design means individual nodes can join or leave at any time with minimal disruption to ongoing lookups.

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