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Formally, a digital signature scheme is a triple of probabilistic polynomial time algorithms, (G, S, V), satisfying: G (key-generator) generates a public key (pk), and a corresponding private key (sk), on input 1 n, where n is the security parameter. S (signing) returns a tag, t, on the inputs: the private key (sk), and a string (x).
In a digital signature system, a sender can use a private key together with a message to create a signature. Anyone with the corresponding public key can verify whether the signature matches the message, but a forger who does not know the private key cannot find any message/signature pair that will pass verification with the public key. [5] [6] [7]
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]
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In the European Union, (advanced) electronic signatures on legal documents are commonly performed using digital signatures with accompanying identity certificates. However, only qualified electronic signatures (which require using a qualified trust service provider and signature creation device) are given the same power as a physical signature.
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.
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