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PKC
2010
Springer
130views Cryptology» more  PKC 2010»
13 years 8 months ago
Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions
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...
Robert Granger, Michael Scott
EUROCRYPT
2011
Springer
12 years 8 months ago
Faster Explicit Formulas for Computing Pairings over Ordinary Curves
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...