Pay Less for Your Privacy: Towards Cost-Effective On-Chain Mixers

Wang, Zhipeng; Cirkovic, Marko; Le, Duc V.; Knottenbelt, William; Cachin, Christian (2023). Pay Less for Your Privacy: Towards Cost-Effective On-Chain Mixers. Leibniz International Proceedings in Informatics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik 10.4230/lipics.aft.2023.16

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On-chain mixers, such as Tornado Cash (TC), have become a popular privacy solution for many non-privacy-preserving blockchain users. These mixers enable users to deposit a fixed amount of coins and withdraw them to another address, while effectively reducing the linkability between these addresses and securely obscuring their transaction history. However, the high cost of interacting with existing on-chain mixer smart contracts prohibits standard users from using the mixer, mainly due to the use of computationally expensive cryptographic primitives. For instance, the deposit cost of TC on Ethereum is approximately 1.1M gas (i.e., 66 USD in June 2023), which is 53× higher than issuing a base transfer transaction.
In this work, we introduce the Merkle Pyramid Builder approach, to incrementally build the Merkle tree in an on-chain mixer and update the tree per batch of deposits, which can therefore decrease the overall cost of using the mixer. Our evaluation results highlight the effectiveness of this approach, showcasing a significant reduction of up to 7× in the amortized cost of depositing compared to state-of-the-art on-chain mixers. Importantly, these improvements are achieved without compromising users' privacy. Furthermore, we propose the utilization of verifiable computations to shift the responsibility of Merkle tree updates from on-chain smart contracts to off-chain clients, which can further reduce deposit costs. Additionally, our analysis demonstrates that our designs ensure fairness by distributing Merkle tree update costs among clients over time.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

08 Faculty of Science > Institute of Computer Science (INF) > Cryptology and Data Security Group
08 Faculty of Science > Institute of Computer Science (INF)

UniBE Contributor:

Cachin, Christian

Subjects:

000 Computer science, knowledge & systems
500 Science > 510 Mathematics

ISSN:

1868-8969

ISBN:

978-3-95977-303-4

Publisher:

Schloss Dagstuhl - Leibniz-Zentrum für Informatik

Language:

English

Submitter:

Christian Cachin

Date Deposited:

28 Mar 2024 12:45

Last Modified:

28 Mar 2024 12:53

Publisher DOI:

10.4230/lipics.aft.2023.16

BORIS DOI:

10.48350/194693

URI:

https://boris.unibe.ch/id/eprint/194693

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