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Correlation Intractability and SNARGs from Sub-exponential DDH

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

2023Year
49Citations
4Top-tier citations

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 TC 0 , based on sub-exponential DDH.

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