ring-BASIS Assumption → News → Incrypthos News

ring-BASIS Assumption

Definition ∞ The ring-BASIS assumption is a computational hardness assumption used in lattice-based cryptography, a field of post-quantum cryptography. It posits that certain mathematical problems related to finding a “short” basis in a specific type of lattice structure (called a “ring” lattice) are computationally difficult to solve. This assumption underpins the security of several proposed cryptographic schemes resistant to attacks from quantum computers. It provides a foundation for future-proof digital security.
Context ∞ In crypto news and discussions about future-proof security, the ring-BASIS assumption is relevant to the development of quantum-resistant cryptographic algorithms that could secure digital assets and blockchain networks against quantum computing threats. Reports may mention this assumption when detailing new cryptographic protocols designed to withstand advanced computational capabilities. Its study is critical for ensuring the long-term integrity and confidentiality of digital information in a post-quantum era.

A high-resolution render showcases a complex, multi-layered digital mechanism, dominated by deep blue and metallic silver components. An intricate, porous, light-gray lattice envelops the central structure, suggesting a decentralized network topology or sharding architecture. Within, polished blue cylinders house metallic gears and segments, indicative of precise cryptographic primitive operations and smart contract execution. The assembly visually interprets a robust Proof-of-Stake PoS validator node or a Web3 infrastructure component, designed for secure, efficient distributed ledger technology DLT processing.

→Post-Quantum Security

→Lattice Cryptography

→ring-BASIS Assumption

Lattice-Based Polynomial Commitments Achieve Post-Quantum Succinctness and Sublinear Verification

Greyhound is the first concretely efficient lattice-based polynomial commitment scheme, enabling post-quantum secure zero-knowledge proofs with sublinear verifier time.