arXiv:2610.12913v1 Announce Type: new Abstract: The Noisy Linear Equations problem involves finding the solution to a random linear system over a finite field given noisy evaluations. This is a generalisation of various learning problems widely used in cryptography, including Learning with Errors (LWE), Learning with Rounding (LWR), and Learning Parity with Noise (LPN).
Sample-Preserving Search-to-Decision Reduction for Noisy Linear Equations over Large Moduli
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