Research corpus ScalingBLC-STUDY-0079

Constant-Size Commitments to Polynomials and Their Applications

Commit to a polynomial and later open it at a point, in constant size, with a pairing. The commitment is binding if the setup's trapdoor stays secret. Modern data-availability schemes use this as a brick. The paper is older than those schemes.

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Record

Authors: Aniket Kate, Gregory M. Zaverucha and Ian Goldberg
Date: 2010
Publisher: Aniket Kate, Gregory M. Zaverucha and Ian Goldberg
Version: Source cited by the 2010 study. The study is the reading. This page does not add a second essay.
Document ID: BLC-STUDY-0079
DOI: None recorded
Last reviewed: 1 October 2026
Licence: No licence recorded. Rights status under review.

No hash is published. This build does not store those PDF bytes, so a checksum would be invented. Where a legacy path exists, it points at the Internet Archive copy of the old library.

Direct answer

Where to read

Official source — ASIACRYPT 2010
Blockchain Lab study, the canonical readingOriginal commentary. Not a transcription of the paper.

Metadata and commentary only. The reading is the study page.

Full text

Full text is not published on this page. Public availability is not a licence to republish a document. Blockchain Lab has not recorded a licence that permits an HTML transcription, a training set, or a retrieval corpus of the paper. Text on this page is Blockchain Lab's own wording, or a pointer to a study that is also Blockchain Lab's wording.

What changed

The study separates the text from later network behaviour. This bibliographic page does not repeat that essay.

Relationships

Canonical readingKZG commitments study
Related paperPLONK
Related paperFraud and data availability proofs
Related paperCelestia

Cite this record

These citations point at the source document. They are not a licence to copy it.

Author–date

Kate, A., Zaverucha, G. M., & Goldberg, I. (2010). Constant-Size Commitments to Polynomials and Their Applications. Aniket Kate, Gregory M. Zaverucha and Ian Goldberg. https://www.iacr.org/archive/asiacrypt2010/6477178/6477178.pdf

BibTeX

@techreport{kzg2010,
  title = {Constant-Size Commitments to Polynomials and Their Applications},
  author = {Aniket Kate, Gregory M. Zaverucha and Ian Goldberg},
  year = {2010},
  institution = {Aniket Kate, Gregory M. Zaverucha and Ian Goldberg},
  url = {https://www.iacr.org/archive/asiacrypt2010/6477178/6477178.pdf},
  note = {Rights status: Official external source only. Blockchain Lab record: https://blockchainlab.com/research/corpus/papers/kzg}
}

RIS

TY  - RPRT
TI  - Constant-Size Commitments to Polynomials and Their Applications
AU  - Aniket Kate
AU  - Gregory M. Zaverucha
AU  - Ian Goldberg
PY  - 2010
PB  - Aniket Kate, Gregory M. Zaverucha and Ian Goldberg
UR  - https://www.iacr.org/archive/asiacrypt2010/6477178/6477178.pdf
N1  - Rights status: Official external source only
ER  -

CSL-JSON

[
  {
    "type": "report",
    "id": "BLC-STUDY-0079",
    "title": "Constant-Size Commitments to Polynomials and Their Applications",
    "author": [
      {
        "literal": "Aniket Kate"
      },
      {
        "literal": "Gregory M. Zaverucha"
      },
      {
        "literal": "Ian Goldberg"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2010
        ]
      ]
    },
    "publisher": "Aniket Kate, Gregory M. Zaverucha and Ian Goldberg",
    "URL": "https://www.iacr.org/archive/asiacrypt2010/6477178/6477178.pdf",
    "note": "Rights status: Official external source only. Not a licence to republish the paper."
  }
]

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Rights record

Source status: Official source
Use status: Metadata and commentary only. The reading is the study page.
Rights: Official external source only
Training and retrieval: Not permitted from this site. There is no rights-cleared full text to retrieve or to train on.

Rights and licensing Corrections