Why don't you use well known and reputable ressources to learn step-by-step the basics of Bitcoin transactions?
I'd rather go to
https://learnmeabitcoin.com (in the technical section it get's quite detailed and deep down the rabbit hole) or quite a bit dryer
Mastering Bitcoin 3rd Edition. Sorry, I didn't bother to hop to your source link and read what's presented there. Could be good, could be bad, no judgment.
Cricktor, Thanks for the link. From the main page I took the link named Technical. In the next page are links named Private Key and Public Key. The link Public Key provides a tool to make the translation on-line, but I could not recognize the specific steps to translate my private key number into a public key.
I tried this site also:
https://learnmeabitcoin.com/technical/cryptography/elliptic-curve/#mathematicsIt provides values:
a = 0, b = 7 meaning the curve equation is y^2 = x^3 + 7
It describes p as being: $p = 2 ** 256 - 2 ** 32 - 2 ** 9 - 2 ** 8 - 2 ** 7 - 2 ** 6 - 2 ** 4 - 1
Which I worked out to the hex number and which does not agree with another site that I cannot find again right now. For now presume this one is correct.
So generate my random number to become my private key.
Then generate a public address. Here is where several sites provide an online tool to enter a test private key and give you the public key. But none of the sites I have found spell out the arithmetic steps to do this? By arithmetic steps I ask for the addition, subtraction, multiply, and divide steps. And even taking a square or cube root of a number.
I presume that my random number is the x part of an x,y point on the curve equation y
2 = x
3 + 7.
Then I must calculate y, the square root of x
3 + 7. And must do this with 256 bit arithmetic. Actually, I suspect that 512 bits must be used for accuracy. And then I must use modulo p to keep the numbers within the 256 bit range.
If correct, then what?
So, please, where can I find the arithmetic steps to transform a private key into a public address?