Definition ∞ The Learning With Errors (LWE) assumption is a computational hardness assumption central to the security of many post-quantum cryptographic schemes. It posits that solving a specific type of noisy linear equation system is computationally difficult, even for quantum computers. This mathematical problem underpins the security of lattice-based cryptography, a promising area for future encryption standards. The LWE assumption provides a foundation for building cryptographic primitives resistant to quantum attacks.
Context ∞ The LWE assumption is a key subject in cryptography research, particularly as the world prepares for the advent of quantum computing. News often reports on the development of new post-quantum algorithms that rely on its computational hardness. The ongoing discussion centers on the long-term security of current cryptographic systems against future quantum threats. Governments and industry are actively investing in research to standardize LWE-based schemes for secure communication and digital assets.
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