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Fast Reed-Solomon Interactive Oracle Proofs of Proximity

FRI is the proximity test: fold the polynomial in rounds until a constant remains, and sample enough points that a cheating polynomial is caught.

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Authors
Eli Ben-Sasson, Iddo Bentov, Yinon Horesh and Michael Riabzev
Date
2018
Publisher
Eli Ben-Sasson, Iddo Bentov, Yinon Horesh and Michael Riabzev
Version
Source cited by the 2018 study. The study is the reading. This page does not add a second essay.
Document ID
BLC-STUDY-0170
DOI
None recorded
Last reviewed
1 October 2026
Licence
No licence recorded. Rights status under review.

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Direct answer

FRI is the proximity test: fold the polynomial in rounds until a constant remains, and sample enough points that a cheating polynomial is caught.

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Full text

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Author–date

Ben-Sasson, E., Bentov, I., Horesh, Y., & Riabzev, M. (2018). Fast Reed-Solomon Interactive Oracle Proofs of Proximity. Eli Ben-Sasson, Iddo Bentov, Yinon Horesh and Michael Riabzev. https://eccc.weizmann.ac.il/report/2017/134/

BibTeX

@techreport{starkfri2018,
  title = {Fast Reed-Solomon Interactive Oracle Proofs of Proximity},
  author = {Eli Ben-Sasson, Iddo Bentov, Yinon Horesh and Michael Riabzev},
  year = {2018},
  institution = {Eli Ben-Sasson, Iddo Bentov, Yinon Horesh and Michael Riabzev},
  url = {https://eccc.weizmann.ac.il/report/2017/134/},
  note = {Rights status: Official external source only. Blockchain Lab record: https://blockchainlab.com/research/corpus/papers/stark-fri}
}

RIS

TY  - RPRT
TI  - Fast Reed-Solomon Interactive Oracle Proofs of Proximity
AU  - Eli Ben-Sasson
AU  - Iddo Bentov
AU  - Yinon Horesh
AU  - Michael Riabzev
PY  - 2018
PB  - Eli Ben-Sasson, Iddo Bentov, Yinon Horesh and Michael Riabzev
UR  - https://eccc.weizmann.ac.il/report/2017/134/
N1  - Rights status: Official external source only
ER  -

CSL-JSON

[
  {
    "type": "report",
    "id": "BLC-STUDY-0170",
    "title": "Fast Reed-Solomon Interactive Oracle Proofs of Proximity",
    "author": [
      {
        "literal": "Eli Ben-Sasson"
      },
      {
        "literal": "Iddo Bentov"
      },
      {
        "literal": "Yinon Horesh"
      },
      {
        "literal": "Michael Riabzev"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2018
        ]
      ]
    },
    "publisher": "Eli Ben-Sasson, Iddo Bentov, Yinon Horesh and Michael Riabzev",
    "URL": "https://eccc.weizmann.ac.il/report/2017/134/",
    "note": "Rights status: Official external source only. Not a licence to republish the paper."
  }
]

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Source status
Official source
Use status
Metadata and commentary only. The reading is the study page.
Rights
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