Two Dimensional Sampling

Definition ∞ Two dimensional sampling is a data verification technique used in some distributed systems. This method involves structuring data in a two-dimensional matrix and then randomly sampling cells from both rows and columns to verify data availability. By checking a sufficient number of these intersecting samples, a node can probabilistically confirm that the entire dataset is present and correctly formed. It enhances the efficiency of data integrity checks without requiring full data download.
Context ∞ Two dimensional sampling is a advanced concept being explored for data availability layers in modular blockchain architectures, particularly for optimistic and zero-knowledge rollups. It aims to provide stronger data availability guarantees than one-dimensional sampling while maintaining efficiency for light clients. Future research will focus on refining the cryptographic proofs and practical implementations to further secure and scale these systems.