SLAP: Succinct Lattice-Based Polynomial Commitments from Standard Assumptions

ePrint Report: SLAP: Succinct Lattice-Based Polynomial Commitments from Standard Assumptions

Martin R. Albrecht, Giacomo Fenzi, Oleksandra Lapiha, Ngoc Khanh Nguyen

Recent works on lattice-based extractable polynomial commitments can be grouped into two classes: (i) non-interactive constructions that stem from the functional commitment by Albrecht, Cini, Lai, Malavolta and Thyagarajan (CRYPTO 2022), and (ii) lattice adaptations of the Bulletproofs protocol (S&P 2018). The former class enjoys security in the standard model, albeit a knowledge assumption is desired. In contrast, Bulletproof-like protocols …

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