https://www.linkedin.com/pulse/digital-signature-using-elli…

In blockchain technology, digital signing algorithms are used to provide cryptographic security and authentication for transactions and messages. The primary digital signing algorithm widely used in blockchain systems is the Elliptic Curve Digital Signature Algorithm (ECDSA).
Elliptic Curve Digital Signature Algorithm (ECDSA):
Key Generation:
- Private Key (sk): A randomly generated secret key known only to the owner of the cryptocurrency wallet. This key is used to create digital signatures.
- Public Key (pk): Derived from the private key using elliptic curve multiplication. The public key is used to verify digital signatures and is associated with the owner's wallet address.
Signing Process:
- Hashing: Before signing a transaction, a cryptographic hash function (e.g., SHA-256) is applied to the transaction data to generate a fixed-size hash digest.
- Signature Generation: The sender uses their private key (sk) and the hash digest of the transaction as input to the ECDSA algorithm.
1. ECDSA involves mathematical operations on elliptic curves to
produce a pair of numbers (r, s) that represent the digital
2. The signature (r, s) is appended to the transaction data.
Verification Process:
- Hashing: The recipient or network nodes independently compute the same hash of the received transaction data.
- Signature Verification: The verifier uses the sender's public key (pk) and the received signature (r, s) to validate the authenticity of the transaction.
1. The ECDSA verification algorithm checks whether the signature
(r, s) is valid for the provided hash and the sender's public key.
2. If the verification succeeds, the signature is considered valid,
confirming that the transaction was indeed signed by the rightful
owner of the private key.
Key Properties and Benefits of ECDSA in Blockchain:
- Security: ECDSA offers strong cryptographic security based on the difficulty of solving elliptic curve discrete logarithm problems.
- Efficiency: ECDSA provides efficient signature…