Paper 2017/884

Scalar multiplication in compressed coordinates in the trace-zero subgroup

Giulia Bianco and Elisa Gorla

Abstract

We consider trace-zero subgroups of elliptic curves over a degree three field extension. The elements of these groups can be represented in compressed coordinates, i.e. via the two coefficients of the line that passes through the point and its two Frobenius conjugates. In this paper we give the first algorithm to compute scalar multiplication in the degree three trace-zero subgroup using these coordinates.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
elliptic curve cryptographytrace-zero subgroup
Contact author(s)
elisa gorla @ unine ch
History
2017-09-17: received
Short URL
https://ia.cr/2017/884
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2017/884,
      author = {Giulia Bianco and Elisa Gorla},
      title = {Scalar multiplication in compressed coordinates in the trace-zero subgroup},
      howpublished = {Cryptology ePrint Archive, Paper 2017/884},
      year = {2017},
      note = {\url{https://eprint.iacr.org/2017/884}},
      url = {https://eprint.iacr.org/2017/884}
}
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