ElGamal Digital Signature - Create & Verify Digital Signatures

The ElGamal digital signature scheme is a cryptographic algorithm for creating digital signatures based on the mathematical properties of discrete logarithms. It was proposed by Taher ElGamal in 1985 and is widely used in various cryptographic applications.

Key Features:

Public Key Cryptography: Uses a pair of keys - public for verification, private for signing
Discrete Logarithm Problem: Security based on the difficulty of computing discrete logarithms
Randomness: Each signature uses a random value, making identical messages produce different signatures
Non-repudiation: Signer cannot deny creating the signature
Integrity: Any modification to the message invalidates the signature

Applications:

Digital certificates and PKI systems
Secure email and messaging
Software distribution and updates
Blockchain and cryptocurrency transactions
Document authentication and legal signatures

Key Features:

Public Key Cryptography: Uses a pair of keys - public for verification, private for signing
Discrete Logarithm Problem: Security based on the difficulty of computing discrete logarithms
Randomness: Each signature uses a random value, making identical messages produce different signatures
Non-repudiation: Signer cannot deny creating the signature
Integrity: Any modification to the message invalidates the signature

Applications:

Digital certificates and PKI systems
Secure email and messaging
Software distribution and updates
Blockchain and cryptocurrency transactions
Document authentication and legal signatures