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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, two keys are generated: data can only be encrypted with the public key and encrypted ...
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).
As with elliptic-curve cryptography in general, the bit size of the private key believed to be needed for ECDSA is about twice the size of the security level, in bits. [1] For example, at a security level of 80 bits—meaning an attacker requires a maximum of about operations to find the private key—the size of an ECDSA private key would be ...
t. e. A cryptographic hash function (CHF) is a hash algorithm (a map of an arbitrary binary string to a binary string with a fixed size of bits) that has special properties desirable for a cryptographic application: [1] the probability of a particular. n {\displaystyle n} -bit output result (hash value) for a random input string ("message") is.
The Secure Hash Algorithms are a family of cryptographic hash functions published by the National Institute of Standards and Technology (NIST) as a U.S. Federal Information Processing Standard (FIPS), including: SHA-0: A retronym applied to the original version of the 160-bit hash function published in 1993 under the name "SHA".
The MD5 message-digest algorithm is a widely used hash function producing a 128- bit hash value. MD5 was designed by Ronald Rivest in 1991 to replace an earlier hash function MD4, [3] and was specified in 1992 as RFC 1321. MD5 can be used as a checksum to verify data integrity against unintentional corruption. Historically it was widely used as ...
SHA-2 (Secure Hash Algorithm 2) is a set of cryptographic hash functions designed by the United States National Security Agency (NSA) and first published in 2001. [3][4] They are built using the Merkle–Damgård construction, from a one-way compression function itself built using the Davies–Meyer structure from a specialized block cipher.
The first public collision was published on 23 February 2017. [2] SHA-1 is prone to length extension attacks. In cryptography, SHA-1 (Secure Hash Algorithm 1) is a hash function which takes an input and produces a 160- bit (20- byte) hash value known as a message digest – typically rendered as 40 hexadecimal digits.