Skip to content

Research corpusScalingBLC-STUDY-0293

Precompiled contracts for optimal ate pairing check on the elliptic curve alt_bn128

EIP 197, Precompiled contracts for optimal ate pairing check on the elliptic curve alt_bn128. Precompiled contracts for elliptic curve pairing operations are required in order to perform zkSNARK verification within the block gas limit.

  • Official external source only
  • Design paper
  • Official source
Compare

Record

Authors
Vitalik Buterin , Christian Reitwiessner
Date
2017
Publisher
Vitalik Buterin , Christian Reitwiessner
Version
Source cited by the 2017 study. The study is the reading. This page does not add a second essay.
Document ID
BLC-STUDY-0293
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

EIP 197, Precompiled contracts for optimal ate pairing check on the elliptic curve alt_bn128. Precompiled contracts for elliptic curve pairing operations are required in order to perform zkSNARK verification within the block gas limit.

Where to read

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

Status in the source: Final. A reading of the public specification, not a copy of it and not a certification.

Relationships

Cite this record

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

Author–date

Buterin, V., & Reitwiessner, C. (2017). Precompiled contracts for optimal ate pairing check on the elliptic curve alt_bn128. Vitalik Buterin , Christian Reitwiessner. https://eips.ethereum.org/EIPS/eip-197

BibTeX

@techreport{eip1972017,
  title = {Precompiled contracts for optimal ate pairing check on the elliptic curve alt_bn128},
  author = {Vitalik Buterin , Christian Reitwiessner},
  year = {2017},
  institution = {Vitalik Buterin , Christian Reitwiessner},
  url = {https://eips.ethereum.org/EIPS/eip-197},
  note = {Rights status: Official external source only. Blockchain Lab record: https://blockchainlab.com/research/corpus/papers/eip-197}
}

RIS

TY  - RPRT
TI  - Precompiled contracts for optimal ate pairing check on the elliptic curve alt_bn128
AU  - Vitalik Buterin
AU  - Christian Reitwiessner
PY  - 2017
PB  - Vitalik Buterin , Christian Reitwiessner
UR  - https://eips.ethereum.org/EIPS/eip-197
N1  - Rights status: Official external source only
ER  -

CSL-JSON

[
  {
    "type": "report",
    "id": "BLC-STUDY-0293",
    "title": "Precompiled contracts for optimal ate pairing check on the elliptic curve alt_bn128",
    "author": [
      {
        "literal": "Vitalik Buterin"
      },
      {
        "literal": "Christian Reitwiessner"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2017
        ]
      ]
    },
    "publisher": "Vitalik Buterin , Christian Reitwiessner",
    "URL": "https://eips.ethereum.org/EIPS/eip-197",
    "note": "Rights status: Official external source only. Not a licence to republish the paper."
  }
]

JSONBibTeX fileRIS fileCSL-JSON

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 licensingCorrections

Useful next step