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• W971312857 abstract "This paper proposes explicit formulae for the addition step and doubling step in Miller's algorithm to compute Tate pairing on Jacobi quartic curves. We present a geometric interpretation of the group law on Ja- cobi quartic curves, which leads to formulae for Miller's algorithm. The doubling step formula is competitive with that for Weierstrass curves and Edwards curves. More- over, by carefully choosing the coe-cients, there exist quartic twists of Jacobi quartic curves from which pairing computation can beneflt a lot. Finally, we provide some examples of supersingular and ordinary pairing friendly Jacobi quartic curves." @default.
• W971312857 created "2016-06-24" @default.
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• W971312857 date "2010-01-01" @default.
• W971312857 modified "2023-09-23" @default.
• W971312857 title "Pairing Computation on Elliptic Curves of Jacobi Quartic Form" @default.
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