Quote from: ecdsa123 on March 11, 2023, 06:09:36 PM

in this way it is waste the time (your time).

if you want to understand the curve you need understand the algorithm for sign transaction.

example in this way for understanding the real algorithm of sign transaction:

privatekey = 4
nonce = 6
message_hash=2

after signing : we have r,s,z (remember z == message_hash)
so:

Code:

r= 115780575977492633039504758427830329241728645270042306223540962614150928364886
s= 115784413730767153834193500621449522112098284939719838943229029456606672741370
z= 2

now you must : calculate u1,u2

Code:

def calc_u(r,s,z):
mod_s= modinv(s,n)%n
u1=mod_s*z%n
u2=mod_s*r%n
print("u1==",u1,"n-u1=",n-u1)
print("u2==",u2,"n-u2=",n-u2)
return u1,u2

result:

Code:

u1== 57446123528476574921383425882760106825160817048876048499830450377360758406696 n-u1 = 58345965708839620502187559125927801027676747230198855882774712764157403087641
u2== 43534513736538953981439636033653927220128577877318440066344968976418891145496 n-u2 = 72257575500777241442131348975033980632708986401756464316260194165099270348841

now generate :

Code:

for i in range(1,10):
k=(r*i+z)*modinv(s,n)%n
print("i=",i,"k==",k)

result:

Code:

i= 1 k== 100980637265015528902823061916414034045289394926194488566175419353779649552192
i= 2 k== 28723061764238287460691712941380053412580408524438024249915225188680379203351
i= 3 k== 72257575500777241442131348975033980632708986401756464316260194165099270348847 -> this compare with n-u2
i= 4 k== 6
i= 5 k== 43534513736538953981439636033653927220128577877318440066344968976418891145502 -> this compare with u2
i= 6 k== 87069027473077907962879272067307854440257155754636880132689937952837782290998
i= 7 k== 14811451972300666520747923092273873807548169352880415816429743787738511942157
i= 8 k== 58345965708839620502187559125927801027676747230198855882774712764157403087653 -> this compare with n-u1
i= 9 k== 101880479445378574483627195159581728247805325107517295949119681740576294233149

and: 57446123528476574921383425882760106825160817048876048499830450377360758406696 as u1 -> is real mod n as

thos tricks and little maths -> can break all transactions:)

happy hunting

ps. IF any question ask ( of course for money)

I Am really Like you
How i can use it ?
I try with python and sage math but not working