Sub-Quadratic Complexity

Definition ∞ 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.