Skew Frobenius Map on Binary Edwards Curves


  •  Ahmed Cheikh    
  •  Demba Sow    

Abstract

This paper introduces the Frobenius endomorphism on the the binary Edwards elliptic curves proposed by  Bernstein, Lange and Farashahi in 2008 and by Diao and Lubicz (2010). To speed up the scalar multiplication  on binary Edwards curves, we use the GLV method combined with the Frobenius endomorphism over the curve.


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