Paper 2015/625 Original: eprint.iacr.org/2015/625 ↗

Ed448-Goldilocks, a new elliptic curve

Mike Hamburg
Abstract

Many papers have proposed elliptic curves which are faster and easier to implement than the NIST prime-order curves. Most of these curves have had fields of size around $2^256$, and thus security estimates of around 128 bits. Recently there has been interest in a stronger curve, prompting designs such as Curve41417 and Microsoft’s pseudo-Mersenne-prime curves. Here I report on the design of another strong curve, called Ed448-Goldilocks. Implementations of this curve can perform very well for its security level on many architectures. As of this writing, this curve is favored by IRTF CFRG for inclusion in future versions of TLS along with Curve25519.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2015-06-30: last updated
2015-06-30: published
Short URL
https://ia.cr/2015/625
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2015/625,
      author = {Mike Hamburg},
      title = {Ed448-Goldilocks, a new elliptic curve},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/625},
      year = {2015},
      url = {https://eprint.iacr.org/2015/625}
}
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