Definition ∞ Lattice assumptions are mathematical postulates that form the basis for certain cryptographic algorithms, particularly those considered resistant to quantum computer attacks. These assumptions involve the difficulty of solving specific problems within mathematical lattices, such as the shortest vector problem or the closest vector problem. The computational hardness of these problems underpins the security of post-quantum cryptographic schemes. They offer a foundation for future cryptographic resilience.
Context ∞ Lattice assumptions are at the forefront of post-quantum cryptography research, aiming to secure digital communications and blockchain systems against future quantum threats. Developing efficient and secure cryptographic protocols based on these assumptions is a critical area of study. Their successful implementation is vital for the long-term security of digital assets and decentralized networks.
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