Post
Topic
Board Bitcoin Discussion
Topic OP
I am claiming the 3,350.00 BTC prize offered by bytcoin
by
BurtW
on 03/03/2021, 19:16:53 UTC
The prize was offered in this thread:  https://bitcointalk.org/index.php?topic=5321454.0

Unfortunately, he locked the thread before I could claim the prize  Angry but I have the solution for the prize !!!

From each message we can derive the z value (hash of the message) so:

First message and signature (m, r, s, z)
Second message and signature (m', r', s', z')

Therefore:  ks = z + rdA and k's' = z' + r'dA

Therefore:  (sk - z)/r = (s'k' - z')/r'

But in this case k' = 2k so:

(sk - z)/r = (2s'k - z')/r'

So all you have to do is solve for k.  All the other values:  s, z, r, s', z', and r' are all known.

rr'(sk - z)/r = rr'(2s'k - z')/r'

r'(sk - z) = r(2s'k - z')

r'sk - r'z = 2rs'k - rz'

r'sk - r'z +rz' = 2rs'k

k = (r'sk - r'z +rz')/2rs'

Once you know k you can simply calculate the private key, dA = (sk - z)/r

Please send my 3,350 bitcoins to 1BurtWEejbnKeBRsvcydJvsNztB1bXV5iQ

That was easy!  Thanks!