Paper 2020/527 Original: eprint.iacr.org/2020/527 ↗

Aggregatable Subvector Commitments for Stateless Cryptocurrencies

Alin Tomescu
Ittai Abraham
Vitalik Buterin
Justin Drake
Dankrad Feist
Dmitry Khovratovich
Abstract

An aggregatable subvector commitment (aSVC) scheme is a vector commitment (VC) scheme that can aggregate multiple proofs into a single, small subvector proof. In this paper, we formalize aSVCs and give a construction from constant-sized polynomial commitments. Our construction is unique in that it has linear-sized public parameters, it can compute all constant-sized proofs in quasilinear time, it updates proofs in constant time and it can aggregate multiple proofs into a constant-sized subvector proof. Furthermore, our concrete proof sizes are small due to our use of pairing-friendly groups. We use our aSVC to obtain a payments-only stateless cryptocurrency with very low communication and computation overheads. Specifically, our constant-sized, aggregatable proofs reduce each block’s proof overhead to a single group element, which is optimal. Furthermore, our subvector proofs speed up block verification and our smaller public parameters further reduce block size.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2021-06-03: last updated
2020-05-05: published
Short URL
https://ia.cr/2020/527
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2020/527,
      author = {Alin Tomescu and Ittai Abraham and Vitalik Buterin and Justin Drake and Dankrad Feist and Dmitry Khovratovich},
      title = {Aggregatable Subvector Commitments for Stateless Cryptocurrencies},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/527},
      year = {2020},
      url = {https://eprint.iacr.org/2020/527}
}
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