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A digital signature is a mathematical scheme for verifying the authenticity of digital messages or documents. A valid digital signature on a message gives a recipient confidence that the message came from a sender known to the recipient. [1] [2]
The Digital Signature Algorithm (DSA) is a public-key cryptosystem and Federal Information Processing Standard for digital signatures, based on the mathematical concept of modular exponentiation and the discrete logarithm problem. In a public-key cryptosystem, a pair of private and public keys are created: data encrypted with either key can ...
In contrast, a digital signature is generated using the private key of a key pair, which is public-key cryptography. [4] Since this private key is only accessible to its holder, a digital signature proves that a document was signed by none other than that holder. Thus, digital signatures do offer non-repudiation.
Message authentication is typically achieved by using message authentication codes (MACs), authenticated encryption (AE), or digital signatures. [2] The message authentication code, also known as digital authenticator, is used as an integrity check based on a secret key shared by two parties to authenticate information transmitted between them. [4]
The private key is used to generate a digital signature for a message, and such a signature can be verified by using the signer's corresponding public key. The digital signature provides message authentication (the receiver can verify the origin of the message), integrity (the receiver can verify that the message has not been modified since it ...
The signature is valid if , matches Alice's public key. The signature is invalid if all the possible R points have been tried and none match Alice's public key. Note that an invalid signature, or a signature from a different message, will result in the recovery of an incorrect public key.