ECDSASchlüsselpaare

ECDSASchlüsselpaare are fundamental components of the Elliptic Curve Digital Signature Algorithm (ECDSA), a public-key cryptosystem used for digital signatures. An ECDSA key pair consists of two distinct but mathematically related keys: a private key and a public key.

The private key is a secret value, typically a large random number, that is kept confidential by its owner. This private key is used to generate a digital signature for a message. The process of signing involves performing mathematical operations on the message's hash and the private key, resulting in a unique signature.

The public key, conversely, is derived from the private key through a series of elliptic curve cryptographic operations. This public key is intended to be shared openly with anyone who needs to verify the authenticity of a signature.

Verification of an ECDSA signature is performed using the corresponding public key. By applying specific mathematical functions to the message, the signature, and the public key, it can be determined whether the signature was indeed generated by the owner of the private key associated with that public key. This ensures message integrity and authenticity. The security of ECDSA relies on the difficulty of deriving the private key from the public key, a problem related to the discrete logarithm problem on elliptic curves.