Parameterization of Edwards curves on the rational field Q with given torsion subgroups

Linh Tung Vo

Paper 2018/094

Parameterization of Edwards curves on the rational field Q with given torsion subgroups

Linh Tung Vo

Abstract

This paper presents the basic concepts of the Edwards curves, twisted Edwards curves and the point addition laws on these curves. The main result is the parameterization of the Edward curve with the given torsion subgroup in the rational field Q.

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Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint. MINOR revision.
Keywords: Edwards curve twisted Edwards curve torsion subgroups
Contact author(s): vtlinh @ bcy gov vn
History: 2018-01-28: received
Short URL: https://ia.cr/2018/094
License: CC BY

BibTeX

@misc{cryptoeprint:2018/094,
      author = {Linh Tung Vo},
      title = {Parameterization of Edwards curves on the rational field Q with given torsion subgroups},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/094},
      year = {2018},
      url = {https://eprint.iacr.org/2018/094}
}