Quote from: supika on November 14, 2019, 06:29:19 AM

Quote from: MrFreeDragon on November 13, 2019, 09:04:53 PM

Quote from: supika on November 13, 2019, 08:40:43 PM

What is the value of the "G - basis point" ? Thanks!

Actually G is the Point of ECDSA secp256k1 curve

in HEX:
Gx = 79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798
Gy = 483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8

in DEC:
Gx = 55066263022277343669578718895168534326250603453777594175500187360389116729240
Gy = 32670510020758816978083085130507043184471273380659243275938904335757337482424

Visually G point is 47.55% on X ordinate and 28.21% on Y ordinate (considering that maximum X and Y values are modul value which is close to 2^256), so approx. Gx is 47.55 * 2^256 and Gy is 28.21% * 2^256

I want to understand how you found the solution for the below equation. Do you use some script?
Thanks!
Q + 13000000*G =
024154b506ab766f42fbe37f699976f84db89f4f2f6bed98325c1a0b6e326dd4e4 +
034d11d3fef403710f1332ae54d99d12e383e9ad1a87d3972ab737b0dffe359be7 =
02464e23afad4a987d1d7c93ffe1d2d1cd196b0c1999b76bf1225e229fd7a1e770

It is not simple addition and multiplication. It is scalar addition. For multiplication also the scalar addition is used. You should learn the scalar addition and multiplication in order to understan this.
Read the basics of scalar addition and multiplication here: https://medium.com/@blairlmarshall/how-does-ecdsa-work-in-bitcoin-7819d201a3ec

I made the calcualtion not manually of course, I used Python script for this (scalar multiplication and addition).

The resulting Point is always has x and y coordinates, but in the showed formula above I used compressed format (prefix 02/03 concatenated with x coordinate). There are 2 wayes to show the point - in compressed format (like was done by me) writing only x coordinate, ot in uncompressed format started with prefix 04 and concatenated with both x and y coordinates.

So, you should learn scalar addition of ECDSA points in order to understand that formula. Also you should be familiar with compressed/uncompressed format of public keys. And do not forget that private key is a number, but public key is a point. Additing one point to another poin you receive a third point. Multiplying point by a number you receive a point.
In ECDSA bitcoin curve you receive the public key of the address as the multiplication of the basis point (G) by a private key (number).

If you do not like to learn and understand all these things by yourself and need a script, write the script parameters and for small bounty I can write it for you.