Research corpus PrivacyBLC-STUDY-0073

On the Size of Pairing-based Non-interactive Arguments

A pairing-based argument in three group elements. The proofs are tiny and cheap to verify. Each circuit needs its own setup, and a leaked setup can forge proofs.

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Record

Authors: Jens Groth
Date: 2016
Publisher: Jens Groth
Version: Source cited by the 2016 study. The study is the reading. This page does not add a second essay.
Document ID: BLC-STUDY-0073
DOI: None recorded
Last reviewed: 1 October 2026
Licence: No licence recorded. Rights status under review.

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Direct answer

A pairing-based argument in three group elements. The proofs are tiny and cheap to verify. Each circuit needs its own setup, and a leaked setup can forge proofs.

Where to read

Official source — ePrint 2016/260
Blockchain Lab study, the canonical readingOriginal commentary. Not a transcription of the paper.

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Full text

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What changed

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

Relationships

Canonical readingGroth16 study
Related paperPLONK
Related paperZexe
Related paperBulletproofs

Cite this record

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Author–date

Groth, J. (2016). On the Size of Pairing-based Non-interactive Arguments. Jens Groth. https://eprint.iacr.org/2016/260

BibTeX

@techreport{groth162016,
  title = {On the Size of Pairing-based Non-interactive Arguments},
  author = {Jens Groth},
  year = {2016},
  institution = {Jens Groth},
  url = {https://eprint.iacr.org/2016/260},
  note = {Rights status: Official external source only. Blockchain Lab record: https://blockchainlab.com/research/corpus/papers/groth16}
}

RIS

TY  - RPRT
TI  - On the Size of Pairing-based Non-interactive Arguments
AU  - Jens Groth
PY  - 2016
PB  - Jens Groth
UR  - https://eprint.iacr.org/2016/260
N1  - Rights status: Official external source only
ER  -

CSL-JSON

[
  {
    "type": "report",
    "id": "BLC-STUDY-0073",
    "title": "On the Size of Pairing-based Non-interactive Arguments",
    "author": [
      {
        "literal": "Jens Groth"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2016
        ]
      ]
    },
    "publisher": "Jens Groth",
    "URL": "https://eprint.iacr.org/2016/260",
    "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.

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