Re: Neural Networks and Secp256k1

Y+(-Y) = FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F(MODULO) Grin

Quote from: DoinSomeStuff on Today at 08:46:42 AM

Quote from: hskun on Today at 08:38:27 AM

Have any idea baout Y, -Y relationship?
privateKey="FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413B",
publicKey="02FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556"
X= FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556
Y= 51ED8885530449DF0C4169FE80BA3A9F217F0F09AE701B5FC378F3C84F8A0998
Y= AE12777AACFBB620F3BE96017F45C560DE80F0F6518FE4A03C870C36B075F297

privateKey="0000000000000000000000000000000000000000000000000000000000000006", publicKey="03FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556"
X= FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556
Y= 51ED8885530449DF0C4169FE80BA3A9F217F0F09AE701B5FC378F3C84F8A0998
Y= AE12777AACFBB620F3BE96017F45C560DE80F0F6518FE4A03C870C36B075F297

Quote from: vjudeu on Today at 05:25:07 AM

As far as I know, it is exactly 50% of keys. For any public key you can negate it and switch it from 02 to 03 or from 03 to 02. It is totally symmetric, I cannot see a single example where it would be ambiguous or where more than a pair of keys could be produced in that way. You can see it simply by using G and -G and incrementing or decrementing points. You would see a pairs of private keys: (1;-1);(2;-2);(3;-3);... When dealing with private keys, you can simply subtract your private key from the maximum and get your negated private key. For public keys, you can switch between 02 and 03 prefix. That's all.

Code:

privateKey="FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413B", publicKey="02FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556"
privateKey="FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413C", publicKey="032F8BDE4D1A07209355B4A7250A5C5128E88B84BDDC619AB7CBA8D569B240EFE4"
privateKey="FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413D", publicKey="03E493DBF1C10D80F3581E4904930B1404CC6C13900EE0758474FA94ABE8C4CD13"
privateKey="FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413E", publicKey="03F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9"
privateKey="FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413F", publicKey="03C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5"
privateKey="FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364140", publicKey="0379BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"

privateKey="0000000000000000000000000000000000000000000000000000000000000001", publicKey="0279BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"
privateKey="0000000000000000000000000000000000000000000000000000000000000002", publicKey="02C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5"
privateKey="0000000000000000000000000000000000000000000000000000000000000003", publicKey="02F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9"
privateKey="0000000000000000000000000000000000000000000000000000000000000004", publicKey="02E493DBF1C10D80F3581E4904930B1404CC6C13900EE0758474FA94ABE8C4CD13"
privateKey="0000000000000000000000000000000000000000000000000000000000000005", publicKey="022F8BDE4D1A07209355B4A7250A5C5128E88B84BDDC619AB7CBA8D569B240EFE4"
privateKey="0000000000000000000000000000000000000000000000000000000000000006", publicKey="03FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556"

There no know relationship between Y and -Y. Atleast for polynominal. Thats why im trying to use neural network to discover that,