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Linear-Time Accumulation Schemes

  • 2026
  • OriginalPaper
  • Chapter
Published in:
Authors
Benedikt Bünz
Alessandro Chiesa
Giacomo Fenzi
William Wang
Published in
Theory of Cryptography
Publisher
Springer Nature Switzerland

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Abstract

This chapter introduces linear-time accumulation schemes, a groundbreaking advancement in the field of cryptographic data verification. The paper presents the first accumulation scheme that achieves linear prover time and logarithmic verifier complexity, a significant improvement over previous methods. The authors explore the applications of proof-carrying data (PCD) in various domains, including distributed computation, verifiable MapReduce, and blockchain technologies. The chapter provides a detailed comparison with prior work, highlighting the efficiency and verifier complexity advantages of the new scheme. Additionally, the text delves into the technical intricacies of the accumulation process, offering valuable insights for researchers and practitioners. The paper concludes with a discussion on the implications of these findings for the future of cryptographic data verification.
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previous chapter Linear Prover IOPs in Log Star Rounds
next chapter Relativized Succinct Arguments in the ROM do not Exist
Title
Linear-Time Accumulation Schemes
Authors
Benedikt Bünz
Alessandro Chiesa
Giacomo Fenzi
William Wang
Copyright Year
2026
Book
Theory of Cryptography

Print ISBN: 978-3-032-12286-5

Electronic ISBN: 978-3-032-12287-2

Copyright Year: 2026

DOI
https://doi.org/10.1007/978-3-032-12287-2_13
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