Abstract. This paper describes an extremely efficient squaring operation in the so-called ‘cyclotomic subgroup’ of F× q6 , for q ≡ 1 mod 6. This result arises from consideri...
Abstract. We describe efficient formulas for computing pairings on ordinary elliptic curves over prime fields. First, we generalize lazy reduction techniques, previously considere...
Diego F. Aranha, Koray Karabina, Patrick Longa, Ca...