Ring Learning Errors

Definition ∞ Ring Learning Errors refers to the specific mathematical errors introduced in the Ring Learning With Errors problem, a foundation for certain cryptographic systems. These errors are deliberately introduced “noise” in the mathematical operations within an algebraic ring, making it computationally hard to determine a hidden secret. The security of post-quantum cryptographic schemes, particularly lattice-based cryptography, relies on the difficulty of solving this problem. The presence of these errors is central to the cryptographic security proof.
Context ∞ Ring Learning Errors are a core component of lattice-based cryptography, which is a leading candidate for post-quantum security in digital asset transactions. Researchers are continually assessing the optimal parameters for these errors to ensure both strong security and computational efficiency. The practical implementation of schemes based on Ring Learning Errors is a key area of development for future blockchain privacy and security protocols.