Hello, I would like to know if it is possible to divide 2 public keys between them.
ex: 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 / 02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5 with "secp256k1 as ice" or even something else?
I can give you the result for your example, here it is :
Pub =
0200000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63
Private =
7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a1
But if we don't know the private key of at least one of the points, we can never directly reach any meaningful result.
If we don't know k for one of the points, how can an algorithm/library know it?
The division does not depend directly on the private keys, each public key is itself the representation of a number.
There are ten (10) numbers represented by these symbols.
0123456789
in hex it would be 16
0123456789abcdef
in public key are
57896044618658097711785492504343953926418782139537452191302581570759080747168 (including decimals, although these are not valid for bitcoin, they exist and this is what makes division difficult)
represented differently (public keys), and this is the complicated part of the matter.