[Resource Topic] 2022/1486: Correlation Intractability and SNARGs from Sub-exponential DDH

Welcome to the resource topic for 2022/1486

Title:
Correlation Intractability and SNARGs from Sub-exponential DDH

Authors: Arka Rai Choudhuri, Sanjam Garg, Abhishek Jain, Zhengzhong Jin, Jiaheng Zhang

Abstract:

We provide the first constructions of SNARGs for Batch-NP and P based solely on the sub-exponential Decisional Diffie Hellman (DDH) assumption. Our schemes achieve poly-logarithmic proof sizes.

Central to our results and of independent interest is a new construction of correlation-intractable hash functions for ``small input’’ product relations verifiable in \mathsf{TC}^0, based on sub-exponential DDH.

ePrint: https://eprint.iacr.org/2022/1486

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