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- W3196873669 abstract "Formulas for doubling, differential addition and point recovery after compression were given for many standard models of elliptic curves, and allow for scalar multiplication after compression using the Montgomery ladder algorithm and point recovery on a curve after this multiplication. In this paper we give such formulas for the twisted Jacobi intersection au2 + v2 = 1, bu2 + w2 = 1. To our knowledge such formulas were not given for this model or for the Jacobi intersection. In projective coordinates these formulas have cost 2M +2S +6D for doubling and 5M + 2S + 6D for differential addition, where M; S; D are multiplication, squaring and multiplication by constants in a field, respectively, choosing suitable curve parameters cost of D may be small." @default.
- W3196873669 created "2021-09-13" @default.
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- W3196873669 date "2021-08-04" @default.
- W3196873669 modified "2023-09-24" @default.
- W3196873669 title "Compression on the Twisted Jacobi Intersection" @default.
- W3196873669 doi "https://doi.org/10.3233/fi-2021-2060" @default.
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