Definition ∞ The LPN Assumption, or Learning Parity with Noise Assumption, is a widely studied problem in computational complexity theory and cryptography. It posits the difficulty of recovering a secret binary string from multiple noisy linear equations over a finite field. This assumption forms the security basis for several post-quantum cryptographic constructions.
Context ∞ The LPN Assumption is a key theoretical basis for certain lattice-based cryptographic schemes that are being considered for post-quantum security in digital assets. News discussing the threat of quantum computing to current blockchain cryptography often references the need for new primitives based on hard problems like LPN. Research into LPN-based systems is critical for future-proofing the security of cryptocurrencies against advanced computational threats.
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