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|seen||Jul 12 '13 at 2:36|
Discrete logs on elliptic curve with embedding degree 3 with the 'MOV' attack
Thanks.I would upvote if I could. I can verify that P and R are have order 8269 along with w_1 and w_1^2634=w_2 and P=Q, that R is not a multiple of P, all using Pari/GP but I can't do the Weil pairing. What software did you use? Also, presumably x^3+4x-11 could be replaced with x^3+x+1 as x has order 8111^3-1 when the field is defined this way.