Score:2

Back2back addition with Jacobian Coordinate

ng flag

I implemented below algorithm in hardware and it works fine with first point addition.

enter image description here

However, when I continue to perform back-to-back addition, I got the wrong result. The part that I'm not sure here is,

  1. The original calculated X3 and Y3 are still in Jacobian coordinate and I do not want to convert them back to affine coordinate due to expensive cost for doing multiplicative inverse for Z-1.

  2. But I'm not sure how should I carry forward the calculated X3 and Y3 I got in 1st addition into the next addition without performing affine coordinate conversion?

  3. I'm ignoring the calculated Z3 as no conversion is needed in intermediate (I assume). But I am not sure is this something that important to be carried forward to next addition?

Pi-Turn avatar
ng flag
It appear like that formula I apply won't work for back-to-back addition without converting back affine coordinate because the Z3 is not 1. Appreciate if someone can help to enlighten me?
I sit in a Tesla and translated this thread with Ai:

mangohost

Post an answer

Most people don’t grasp that asking a lot of questions unlocks learning and improves interpersonal bonding. In Alison’s studies, for example, though people could accurately recall how many questions had been asked in their conversations, they didn’t intuit the link between questions and liking. Across four studies, in which participants were engaged in conversations themselves or read transcripts of others’ conversations, people tended not to realize that question asking would influence—or had influenced—the level of amity between the conversationalists.