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It defines the Digital Signature Algorithm, contains a definition of RSA signatures based on the definitions contained within PKCS #1 version 2.1 and in American National Standard X9.31 with some additional requirements, and contains a definition of the Elliptic Curve Digital Signature Algorithm based on the definition provided by American ...
A digital signature is an authentication mechanism that enables the creator of the message to attach a code that acts as a signature. The Digital Signature Algorithm (DSA), developed by the National Institute of Standards and Technology, is one of many examples of a signing algorithm. In the following discussion, 1 n refers to a unary number.
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.
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.
Current signature schemes rely either on integer factorization, discrete logarithm or elliptic curve discrete logarithm problem, all of which can be effectively attacked by a quantum computer. BLISS on the other hand, is a post-quantum algorithm, and is meant to resist quantum computer attacks.
A BLS digital signature, also known as Boneh–Lynn–Shacham [1] (BLS), is a cryptographic signature scheme which allows a user to verify that a signer is authentic.. The scheme uses a bilinear pairing:, where ,, and are elliptic curve groups of prime order , and a hash function from the message space into .