Connecting Legendre with Kummer and Edwards

@article{Karati2017ConnectingLW,
  title={Connecting Legendre with Kummer and Edwards},
  author={Sabyasachi Karati and Palash Sarkar},
  journal={IACR Cryptology ePrint Archive},
  year={2017},
  volume={2017},
  pages={1205}
}
Scalar multiplication on suitable Legendre form elliptic curves can be speeded up in two ways. One can perform the bulk of the computation either on the associated Kummer line or on an appropriate twisted Edwards form elliptic curve. This paper provides details of moving to and from between Legendre form elliptic curves and associated Kummer line and moving to and from between Legendre form elliptic curves and related twisted Edwards form elliptic curves. Further, concrete twisted Edwards form… CONTINUE READING

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