Quote from: mynonce on October 29, 2021, 11:48:38 PM

Can you sign a message with that public key?

Quote from: iamonlinenow on October 29, 2021, 08:19:33 PM

And the result has been signed. How can one add addresses and sign with the sum/result? I would be grateful if you explained it here with examples.

Sorry, let me rephrase my sayings;

I can generate bunch of addresses whose public keys once summed with satoshi's public key will give you an address whose private key will be known by me.

Using pooya's way:

Take Satoshi's public key:

Code:

x: 678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb6
y: 49f6bc3f4cef38c4f35504e51ec112de5c384df7ba0b8d578a4c702b6bf11d5f

(1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa)

And a random private key:

Code:

10caf0ec1511da37effb3e4e8de7d217a039e4315a444694af1afccd1073e5a4

Increase the random key by 1 and get:

Code:

10caf0ec1511da37effb3e4e8de7d217a039e4315a444694af1afccd1073e5a5

Public key equal with:

Code:

x: baef4f70d27372f96f5ae699720080fa17a353448af8a67cb49ac7742f31604b
y: a749e7fab667291958f3ddfdbe3c1e739cea5917f04856ddd60f7520ee926fcc

If I substract this one with Satoshi's public key I'll get:

Code:

x: bd0b9e81abc8ed978bc0873b9b5d44e00e889983c60bb722354793df732cb849
y: 1ddce6233aea09569c65b37c2cf6e1dc6d8fb721de29c4abc1053c94c2801b28

(1LZtnC7Ck37V9uLGGXFmaVkeaLyzFLvf6W)

Simplified equation:

Code:

Our known public key - 1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa's public key = 1LZtnC7Ck37V9uLGGXFmaVkeaLyzFLvf6W's public key

Thus, our known public key will be the addition of those two. But, I know the private key of my known public key, it's:

Code:

10caf0ec1511da37effb3e4e8de7d217a039e4315a444694af1afccd1073e5a5

Or in WIF:

Code:

5HwgXfRgFjZayTa3Umv8mNFnWBAbjhcDfVyEjc6RKH6vB5kESnr

With address: 1J2jrkkXrHp3To3VFDo6QVQKhWQt3L7nDG

Code:

-----BEGIN BITCOIN SIGNED MESSAGE-----
Bazinga!
-----BEGIN SIGNATURE-----
1J2jrkkXrHp3To3VFDo6QVQKhWQt3L7nDG
G0gG9OuK8/7bq9pRnymVJQN4O4VznzXx6Gtoy1IeP/UQNFjIVX9Ujy4VxsdH8M/sfViAHTpno8OVrtTq8iM1aH8=
-----END BITCOIN SIGNED MESSAGE-----