Corpus ID: 18295068

Tutorial of Twisted Edwards Curves in Elliptic Curve Cryptography

  title={Tutorial of Twisted Edwards Curves in Elliptic Curve Cryptography},
  author={E. Barnard},
This is a tutorial of Twisted Edwards curves. I plan to introduce them in comparison to Edwards curves, and review standard group law operations. I will then relate Twisted Edwards curves and Montgomery curves. I will also introduce a projective and other popular coordinate systems for Twisted Edwards curves. In addition, I will compare and contrast Twisted Edwards curves with Edwards curves, and briefly discuss the EdDSA application of Twisted Edwards curves. Lastly, I will present the latest… Expand
1 Citations
Efficient FPGA Implementation of Unified Point Operation for Twisted Edward Curve Cryptography


Twisted Edwards Curves
  • 367
  • PDF
Twisted Edwards Curves Revisited
  • 205
  • PDF
Elliptic curve with Optimal mixed Montgomery-Edwards model for low-end devices
  • 2
Edwards Curves
  • T. Lange
  • Computer Science
  • Encyclopedia of Cryptography and Security
  • 2011
  • 3
Twisted Hessian Curves
  • 36
  • PDF
A brief discussion on selecting new elliptic curves
  • 12
  • PDF
A normal form for elliptic curves
  • 403
  • PDF
Edwards Curves and Gaussian Hypergeometric Series
  • 3
  • PDF
University of California
  • 1,312
Twisted Edwards Curves.”Cryptology EPrint Archive
  • 2008