Sub-quadratic complexity describes an algorithm’s efficiency where its processing time grows slower than the square of the input size. In the context of blockchain and cryptography, achieving sub-quadratic complexity for operations like transaction verification or proof generation is highly desirable. This efficiency allows systems to handle significantly larger datasets or more users without a prohibitive increase in computational resources. It is crucial for scalable decentralized applications.
Context
Technical discussions and news often highlight cryptographic advancements, such as certain zero-knowledge proof constructions, that attain sub-quadratic complexity, thereby offering substantial improvements in network scalability. This metric is a key indicator of a protocol’s potential for high performance.
By relaxing to a probabilistic security model, ProBFT delivers optimal three-step latency and O(nsqrtn) message complexity, enabling practical BFT scalability.
A novel sub-quadratic data availability sampling technique enables asymptotically secure sharding, resolving the critical bottleneck for massive blockchain scaling.
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