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ShangMi 3 (SM3) is a cryptographic hash function, standardised for use in commercial cryptography in China. [1] It was published by the National Cryptography Administration (Chinese: 国家密码管理局) on 2010-12-17 [2] [3] as "GM/T 0004-2012: SM3 cryptographic hash algorithm".
Crypto++ (also known as CryptoPP, libcrypto++, and libcryptopp) is a free and open-source C++ class library of cryptographic algorithms and schemes written by Wei Dai.Crypto++ has been widely used in academia, student projects, open-source, and non-commercial projects, as well as businesses. [1]
The DSA works in the framework of public-key cryptosystems and is based on the algebraic properties of modular exponentiation, together with the discrete logarithm problem, which is considered to be computationally intractable. The algorithm uses a key pair consisting of a public key and a private key.
The Digital Signature Algorithm (DSA) is a variant of the ElGamal signature scheme, which should not be confused with ElGamal encryption. ElGamal encryption can be defined over any cyclic group G {\displaystyle G} , like multiplicative group of integers modulo n if and only if n is 1, 2, 4, p k or 2 p k , where p is an odd prime and k > 0 .
Password verification commonly relies on cryptographic hashes. Storing all user passwords as cleartext can result in a massive security breach if the password file is compromised. One way to reduce this danger is to only store the hash digest of each password.
In the signature schemes DSA and ECDSA, this nonce is traditionally generated randomly for each signature—and if the random number generator is ever broken and predictable when making a signature, the signature can leak the private key, as happened with the Sony PlayStation 3 firmware update signing key.
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The meaning of "small enough" depends on the size of the type that is used as the hashed value. For example, in Java , the hash code is a 32-bit integer. Thus the 32-bit integer Integer and 32-bit floating-point Float objects can simply use the value directly, whereas the 64-bit integer Long and 64-bit floating-point Double cannot.