Efficient Arithmetic on Koblitz Curves

@article{Solinas2000EfficientAO,
  title={Efficient Arithmetic on Koblitz Curves},
  author={Jerome A. Solinas},
  journal={Des. Codes Cryptography},
  year={2000},
  volume={19},
  pages={195-249}
}
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: taking a given integer multiple of a given point on the curve. The cost of the protocols depends on that of the elliptic scalar multiplication operation. Koblitz introduced a family of curves which admit especially fast elliptic scalar multiplication. His algorithm was later modified by Meier and Staffelbach. We give an… CONTINUE READING
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