Сеня рядом и Белла пришел. Былое
Useful and efficient algorithms for secp256k1 elliptic curve
CRYPTO DEEP TECH In this article, we will consider several useful and efficient algorithms for an elliptic curve E over a field GF(p) given by the short Weierstrass equation у^2 = х^3 + Ах + В Modular operations (integers) on a finite field (or Galois field) Elliptic Curve Point Operation The point P(x 0 , y 0 ) on the elliptic curve E means: its coordinates x 0 and y 0 are elements of the field, and the coordinates x 0 and y 0 satisfy the equation. Divider Divisor (Divisor) D...
One weak transaction in ECDSA on the Bitcoin blockchain and with the help of Lattice Attack we received a Private Key to BTC coins
CRYPTO DEEP TECH What do we know about the lattice attack? To begin with, the elliptic curve digital signature algorithm (ECDSA) is a common digital signature scheme that we see in many of our code reviews. It has some desirable properties, but can also be very fragile to recover the private key with a side-channel attack that reveals less than one bit of the secret nonce. ECDSA is a special form of the digital signature algorithm (DSA). DSA is a fairly common digital signature scheme, which is defined by three algorithms: key generation, signature, and verification...