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Efficient Non-Interactive Polynomial Commitment Scheme in the Discrete by Peiheng Zhang, Min Tang et al

Polynomial commitment schemes (PCS) are fundamental components that can effectively solve the problems arising from the combination of IoT and blockchain. These allow a committer to commit to a polynomial and then later evaluate the committed polynomial at an arbitrary challenge point along with a proof of valid, without revealing any additional information about the polynomial. Recent works have presented polynomial commitment schemes based on the discrete logarithm assumption. Their schemes do not require a trusted setup, and the verifier uses homomorphism to check the polynomial evaluation proofs. However, these schemes require two-party interactions and satisfy only special soundness and special honest verifier zero-knowledge, which are infeasible for some non-simultaneous online or decentralized applications. In this paper, we propose a novel polynomial commitment scheme inspired by the idea of the Fiat-Shamir heuristic. Our scheme is non-interactive between the committer and the

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