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Need help with this Elliptic curve theory (Edwards curve)

  1. Aug 1, 2012 #1
    22e642386cbad125496a2659cabb243d.png

    That is the Edwards curve addition law, more info can be found here about the Edwards curve:

    http://en.wikipedia.org/wiki/Edwards_curve

    Everywhere I look it says the addition law takes 10M+1S+1D+7a, where M is field multiplication, S is field squaring, D is multiplying by a parameter d, and a is field addition. [Refer to the projective setting in the wiki page]

    Please see the below and can anyone let me know if you can see any way to get my 11M down to 10M? I must have gone wrong somewhere in addition as I only have 4!

    http://i.imgur.com/mrXov.jpg

    Let me know if you can't make any sense of it..

    Thanks
     
  2. jcsd
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