Linear Communication Complexity describes the efficiency of a distributed protocol where the amount of data exchanged between participants scales proportionally with the number of participants or input size. In decentralized networks, minimizing communication overhead is crucial for achieving scalability and high transaction throughput. Protocols exhibiting linear communication complexity require data exchange that increases in a direct, proportional relationship to network size or the data being processed. While more efficient than exponential growth, ongoing research aims to achieve sub-linear complexity to further enhance the performance and responsiveness of large-scale digital asset systems.
Context
Linear Communication Complexity is a fundamental metric in the design and evaluation of scalable blockchain protocols, particularly as networks grow to accommodate more users and transactions. Discussions frequently address the trade-offs between communication efficiency and other security properties, such as fault tolerance and decentralization. A critical future development involves the invention of novel consensus algorithms and data propagation techniques that can achieve sub-linear communication complexity, significantly improving the scalability and global accessibility of digital asset platforms without compromising security.
Themis introduces a threshold-encrypted commit-and-reveal scheme to enforce transaction order based on submission time, mitigating front-running with optimal linear complexity.
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