Paper 2026/2681

Improving Code Rate and Query Complexity for the Ligero-IOP System

Ignacio Cascudo, IMDEA Software Institute
Carmit Hazay, Ligero Inc., Bar-Ilan University
Muthu Venkitasubramaniam, Ligero Inc.
Abstract

This work presents two main contributions to the analysis and design of Ligero-style zero-knowledge proof systems. First, we analyze the original Ligero IOP in the list-decoding regime and show that mutual correlated agreement suffices to obtain improved soundness guarantees and lower query complexity, without modifying the protocol. Second, we propose a new variant of Ligero that incorporates out-of-domain sampling, leading to further soundness improvements and enabling Reed--Solomon code rates above $1/2$. The new protocol preserves the constant-round structure of the Ligero IOP and its compatibility with memory-efficient proving, while achieving perfect honest-verifier zero knowledge.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
Zero knowledge proofsLigero
Contact author(s)
ignacio cascudo @ software imdea org
carmit @ ligero-inc com
muthu @ ligero-inc com
History
2026-10-31: approved
2026-10-29: received
See all versions
Short URL
https://ia.cr/2026/2681
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/2681,
      author = {Ignacio Cascudo and Carmit Hazay and Muthu Venkitasubramaniam},
      title = {Improving Code Rate and Query Complexity for the Ligero-{IOP} System},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/2681},
      year = {2026},
      url = {https://eprint.iacr.org/2026/2681}
}
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