Bandersnatch: a fast elliptic curve built over the BLS12-381 scalar field

Simon Masson; Antonio Sanso; Zhenfei Zhang

Paper 2021/1152

Bandersnatch: a fast elliptic curve built over the BLS12-381 scalar field

Simon Masson

Antonio Sanso

Zhenfei Zhang

Abstract

In this short note, we introduce Bandersnatch, a new elliptic curve built over the BLS12-381 scalar field. The curve is equipped with an efficient endomorphism, allowing a fast scalar multiplication algorithm. Our benchmark shows that the multiplication is 42% faster, compared to another curve, called Jubjub, having similar properties. Nonetheless, Bandersnatch does not provide any performance improvement for either rank 1 constraint systems (R1CS) or multi scalar multiplications, compared to the Jubjub curve.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Minor revision. Designs, Codes and Cryptography
Contact author(s): antonio sanso @ ethereum org
History: 2024-09-20: last of 3 revisions; 2021-09-14: received; See all versions
Short URL: https://ia.cr/2021/1152
License: CC BY

BibTeX

@misc{cryptoeprint:2021/1152,
      author = {Simon Masson and Antonio Sanso and Zhenfei Zhang},
      title = {Bandersnatch: a fast elliptic curve built over the {BLS12}-381 scalar field},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/1152},
      year = {2021},
      url = {https://eprint.iacr.org/2021/1152}
}