Quote from: digaran on Today at 06:41:52 PM

Quote from: mcdouglasx on Today at 01:50:08 PM

It is difficult to know which division is a fraction or not, because the curve sees them as integers.

Of course it's difficult, that's one reason to love bitcoin and be assured of it's security, I don't deny that. My goal is to find out what is the remainder of a fraction for different values and if there is a way to find that out, like 4501/230 =
19.56956522, and I want to know how to detect .56956522 and extract it's representation on the curve, we have 4500/230 = 19.56521739, I want to know how we could find curve representations of :
.56956522 and
.56521739 difference between them is : .434783
Now if we could find .434783 on the curve we can potentially determine the range to solve 4501.

The representation in the curve in decimals is obtained by dividing N:

N = 115792089237316195423570985008687907852837564279074904382605163141518161494337

1/2= 0.5

N/2= 0.5

1/4= 0.25

N/4= -0.25

then its sequence is

(N/2)+1= 1.5
(N/2)+2= 2.5
(N/2)+1000= 1000.5

Any division of N that is less than N/2 will show its result as negative in ECC.

N/4= -0.25

you transfer it to positive like this:

N-(N/4)

additional info.

if you want to find any pubkey reflection

NM1= 115792089237316195423570985008687907852837564279074904382605163141518161494336
NM1_pub= 0379be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 (or -1)

pk= 5

pub-key= 022f8bde4d1a07209355b4a7250a5c5128e88b84bddc619ab7cba8d569b240efe4

N-pk (if you use numbers)

N-pk= 115792089237316195423570985008687907852837564279074904382605163141518161494332
N-pk pub=032f8bde4d1a07209355b4a7250a5c5128e88b84bddc619ab7cba8d569b240efe4

or

(NM1_pub - pubkey) + 1 #(ECC)