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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.
SHA-2: A family of two similar hash functions, with different block sizes, known as SHA-256 and SHA-512. They differ in the word size; SHA-256 uses 32-bit words where SHA-512 uses 64-bit words. There are also truncated versions of each standard, known as SHA-224, SHA-384, SHA-512/224 and SHA-512/256. These were also designed by the NSA.
Here is the formal technical definition of the puzzle friendliness property. [2] [1]A hash function H is said to be puzzle friendly if for every possible n-bit output value y, if k is chosen with a distribution with high min-entropy, then it is infeasible to find x such that H( k || x) = y (where the symbol "||" denotes concatenation) in time significantly less than 2 n.
SHACAL-2 is a 256-bit block cipher based upon the larger hash function SHA-256. Both SHACAL-1 and SHACAL-2 were selected for the second phase of the NESSIE project. However, in 2003, SHACAL-1 was not recommended for the NESSIE portfolio because of concerns about its key schedule, while SHACAL-2 was finally selected as one of the 17 NESSIE ...
hash MD5: 128 bits Merkle–Damgård construction: MD6: up to 512 bits Merkle tree NLFSR (it is also a keyed hash function) RadioGatún: arbitrary ideal mangling function RIPEMD: 128 bits hash RIPEMD-128: 128 bits hash RIPEMD-160: 160 bits hash RIPEMD-256: 256 bits hash RIPEMD-320: 320 bits hash SHA-1: 160 bits Merkle–Damgård construction ...
(Here HASH is a cryptographic hash function, such as SHA-2, with the output converted to an integer.) Let z {\displaystyle z} be the L n {\displaystyle L_{n}} leftmost bits of e {\displaystyle e} , where L n {\displaystyle L_{n}} is the bit length of the group order n {\displaystyle n} .
A common use of one-way compression functions is in the Merkle–Damgård construction inside cryptographic hash functions. Most widely used hash functions, including MD5, SHA-1 (which is deprecated [2]) and SHA-2 use this construction. A hash function must be able to process an arbitrary-length message into a fixed-length output.
For the example above, an attacker can create a new document containing two data blocks, where the first is hash 0-0 + hash 0-1, and the second is hash 1-0 + hash 1-1. [ 14 ] [ 15 ] One simple fix is defined in Certificate Transparency : when computing leaf node hashes, a 0x00 byte is prepended to the hash data, while 0x01 is prepended when ...