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LukePearson1 avatar LukePearson1 commented on June 16, 2024

Following todays work and then review of previous implementation of projective coordinates, it follows the we will be using weighted projective coordinates. The chosen algorithm will incur a cost that is stated above but for implementing them as parallel operations, the conversions to affine coordinates will be an extra 1I + 3M + 1S.

For the total algorithm cost they vary upon the ability to determine coordinates equalling 0. If found, they reduce the overall cost for general point addition by 1S + 1M.

Note: the need for 0 coordinate(s) is not to be confused with academic paper, shown above, which provides a high speed algorithm assuming that T = 0.

from dusk-zerocaf.

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