Abstract
The Learning Parity with Noise (LPN) problem has found many applications in cryptography due to its conjectured post-quantum hardness and simple algebraic structure. Over the years, constructions of different public-key primitives were proposed from LPN, but most of them are based on the LPN assumption with low noise rate rather than constant noise rate. A recent breakthrough was made by Yu and Zhang (Crypto’16), who constructed the first Public-Key Encryption (PKE) from constant-noise LPN. However, the problem of designing a PKE with Key-Dependent Message (KDM) security from constant-noise LPN is still open.
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