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SNARKs from LWE via Non-black-Box Reductions

Zhengzhong Jin, Mingqi Lu, Bo Peng

2026Year

Abstract

We construct the first succinct non-interactive arguments of knowledge (SNARKs) from the polynomial-hardness of Learning with Errors (LWE) for a subclass of UP languages whose witness unambiguity has a polynomial-size Extended Frege (EF) proof. Our construction achieves the following soundness guarantee:

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