Skew Frobenius Map on Binary Edwards Curves

Ahmed Youssef Ould Cheikh, Demba Sow · Journal of Mathematics Research · 2014

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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