Ethereum: How does the signature verification feature in bitcoin-qt work without a public key?

What is a signature in Bitcoin?

In Bitcoin, a signature is not actually a “public key” as used in other cryptographic systems. Instead, it is an algorithmic solution created by the sender that proves ownership of the message. This process involves hashing the message, generating a hash of the sender’s public key, and then signing the resulting hash with their private key.

How does Bitcoin-Qt sign messages?

Ethereum
Bitcoin-Qt uses the Elliptic Curve Digital Signature Algorithm (ECDSA) algorithm to sign messages. This algorithm is widely used in modern cryptography due to its efficiency, scalability, and security. Here is a high-level overview of how it works:
1.

Message preparation

: The sender prepares their message by hashing it using Bitcoin-Qt’s “deterministic hash function.” This process creates an input string that is used as the basis for generating the signature.
2.

Key Generation

: The sender generates a pair of cryptographic keys including:

  • Private key (also known as the starting or entry point): Used to sign messages and verify identity.
  • Public key: This is what anyone can use to send a signed message back to the sender.

Signing process

To create a signature, the sender follows these steps:
1.

Hash input

: The sender hashes their input message using a deterministic hash function.
2.

Hash public key

: The sender hashes their public key using the same algorithm used to sign messages.
3.

Combine Hashes

: The sender combines the hashed input and the public key to create a single input string, which is then signed with the private key.

Signature Verification in Bitcoin-Qt

To verify that a signed message was actually sent to the intended signer without access to their public key, Bitcoin-Qt uses a combination of cryptographic techniques:

1.

Hash Verification

: The sender hashes the signature and verifies that it matches the expected hash created by combining the hashed input and the public key.
2.

Signature Verification

: If the verification succeeds, the sender can be confident that the message was signed by the intended signer.

Conclusion

In short, Bitcoin-Qt’s signature verification feature uses a combination of hashing algorithms and cryptographic keys to ensure the authenticity and integrity of signed messages. By generating a pair of keys (private and public) and using them to sign messages, Bitcoin-Qt provides an efficient and secure way to verify identities and signatures without relying on a public key infrastructure.
This feature is particularly useful in situations where access to public keys is limited or impractical. However, it is important to note that this approach has its limitations and may not be suitable for all use cases.

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