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RSA blinding makes use of the multiplicative property of RSA. Instead of computing c d (mod n ) , Alice first chooses a secret random value r and computes ( r e c ) d (mod n ) . The result of this computation, after applying Euler's theorem , is rc d (mod n ) , and so the effect of r can be removed by multiplying by its inverse.
The algorithm uses a key pair consisting of a public key and a private key. 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.
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.
[3] [4] [5] The Rabin signature scheme was the first digital signature scheme where forging a signature could be proven to be as hard as factoring. The trapdoor function was later repurposed in textbooks as an example of a public-key encryption scheme, [ 6 ] [ 7 ] [ 1 ] which came to be known as the Rabin cryptosystem even though Rabin never ...
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 ...
The sender uses PGP to create a digital signature for the message with either the RSA or DSA algorithms. To do so, PGP computes a hash (also called a message digest) from the plaintext and then creates the digital signature from that hash using the sender's private key.
Hash-based signature schemes use one-time signature schemes as their building block. A given one-time signing key can only be used to sign a single message securely. Indeed, signatures reveal part of the signing key. The security of (hash-based) one-time signature schemes relies exclusively on the security of an underlying hash function.
The PKCS #1 standard defines the mathematical definitions and properties that RSA public and private keys must have. The traditional key pair is based on a modulus, n, that is the product of two distinct large prime numbers, p and q, such that =.