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SHA-1

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651:, it's a guarantee. You can have people who try to be malicious. They won't succeed. Nobody has been able to break SHA-1, but the point is the SHA-1, as far as Git is concerned, isn't even a security feature. It's purely a consistency check. The security parts are elsewhere, so a lot of people assume that since Git uses SHA-1 and SHA-1 is used for cryptographically secure stuff, they think that, Okay, it's a huge security feature. It has nothing at all to do with security, it's just the best hash you can get. ... 5427: 1040:
or faked identities in signed certificates) than the previous attack's 2 evaluations (but without chosen prefix, which was impractical for most targeted attacks because the found collisions were almost random) and is fast enough to be practical for resourceful attackers, requiring approximately $ 100,000 of cloud processing. This method is also capable of finding chosen-prefix collisions in the
365: 714:, as well as access to the hash of the original password, which may or may not be trivial. Reversing password encryption (e.g. to obtain a password to try against a user's account elsewhere) is not made possible by the attacks. However, even a secure password hash can't prevent brute-force attacks on 1509:
are 2 times the square roots of 2, 3, 5 and 10. However they were incorrectly rounded to the nearest integer instead of being rounded to the nearest odd integer, with equilibrated proportions of zero and one bits. As well, choosing the square root of 10 (which is not a prime) made it a common factor
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One attack against SHA-1 was Marc Stevens with an estimated cost of $ 2.77M (2012) to break a single hash value by renting CPU power from cloud servers. Stevens developed this attack in a project called HashClash, implementing a differential path attack. On 8 November 2010, he claimed he had a fully
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block ciphers. With these improvements, this method is capable of finding chosen-prefix collisions in approximately 2 SHA-1 evaluations. This is approximately 1 billion times faster (and now usable for many targeted attacks, thanks to the possibility of choosing a prefix, for example malicious code
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In the case of document signing, an attacker could not simply fake a signature from an existing document: The attacker would have to produce a pair of documents, one innocuous and one damaging, and get the private key holder to sign the innocuous document. There are practical circumstances in which
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2006. A two-block collision for 64-round SHA-1 was presented, found using unoptimized methods with 2 compression function evaluations. Since this attack requires the equivalent of about 2 evaluations, it is considered to be a significant theoretical break. Their attack was extended further to 73
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The authors write: "In particular, our analysis is built upon the original differential attack on SHA-0, the near collision attack on SHA-0, the multiblock collision techniques, as well as the message modification techniques used in the collision search attack on MD5. Breaking SHA-1 would not be
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applications, including use within other cryptographic algorithms and protocols, for the protection of sensitive unclassified information. FIPS PUB 180-1 also encouraged adoption and use of SHA-1 by private and commercial organizations. SHA-1 is being retired from most government uses; the U.S.
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In 2008, an attack methodology by Stéphane Manuel reported hash collisions with an estimated theoretical complexity of 2 to 2 operations. However he later retracted that claim after finding that local collision paths were not actually independent, and finally quoting for the most efficient a
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I guarantee you, if you put your data in Git, you can trust the fact that five years later, after it was converted from your hard disk to DVD to whatever new technology and you copied it along, five years later you can verify that the data you get back out is the exact same data you put in.
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On 8 October 2015, Marc Stevens, Pierre Karpman, and Thomas Peyrin published a freestart collision attack on SHA-1's compression function that requires only 2 SHA-1 evaluations. This does not directly translate into a collision on the full SHA-1 hash function (where an attacker is
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Subsequently, on 12 August 2004, a collision for the full SHA-0 algorithm was announced by Joux, Carribault, Lemuet, and Jalby. This was done by using a generalization of the Chabaud and Joux attack. Finding the collision had complexity 2 and took about 80,000 processor-hours on a
525:. According to the NSA, this was done to correct a flaw in the original algorithm which reduced its cryptographic security, but they did not provide any further explanation. Publicly available techniques did indeed demonstrate a compromise of SHA-0, in 2004, before SHA-1 in 2017 ( 1075:(CSE). For informal verification, a package to generate a high number of test vectors is made available for download on the NIST site; the resulting verification, however, does not replace the formal CMVP validation, which is required by law for certain applications. 994:
The authors estimated that the cost of renting enough of EC2 CPU/GPU time to generate a full collision for SHA-1 at the time of publication was between US$ 75K and $ 120K, and noted that was well within the budget of criminal organizations, not to mention national
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Without truncation, the full internal state of the hash function is known, regardless of collision resistance. If the output is truncated, the removed part of the state must be searched for and found before the hash function can be resumed, allowing the attack to
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of SHA-1 as a security feature, since it will always prefer to keep the earliest version of an object in case of collision, preventing an attacker from surreptitiously overwriting files. The known attacks (as of 2020) also do not break second preimage resistance.
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rounds (of 80) in 2010 by Grechnikov. In order to find an actual collision in the full 80 rounds of the hash function, however, tremendous amounts of computer time are required. To that end, a collision search for SHA-1 using the volunteer computing platform
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In an interview, Yin states that, "Roughly, we exploit the following two weaknesses: One is that the file preprocessing step is not complicated enough; another is that certain math operations in the first 20 rounds have unexpected security problems."
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In the wake of SHAttered, Mark Stevens and Dan Shumow published "sha1collisiondetection" (SHA-1CD), a variant of SHA-1 that detects collision attacks and changes the hash output when one is detected. The false positive rate is 2. SHA-1CD is used by
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possible without these powerful analytical techniques." The authors have presented a collision for 58-round SHA-1, found with 2 hash operations. The paper with the full attack description was published in August 2005 at the CRYPTO conference.
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On 5 January 2020 the authors published an improved attack called "shambles". In this paper they demonstrate a chosen-prefix collision attack with a complexity of 2, that at the time of publication would cost US$ 45K per generated collision.
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Cameron McDonald, Philip Hawkes and Josef Pieprzyk presented a hash collision attack with claimed complexity 2 at the Rump Session of Eurocrypt 2009. However, the accompanying paper, "Differential Path for SHA-1 with complexity
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and Chen found near-collisions for SHA-0 – two messages that hash to nearly the same value; in this case, 142 out of the 160 bits are equal. They also found full collisions of SHA-0 reduced to 62 out of its 80 rounds.
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working near-collision attack against full SHA-1 working with an estimated complexity equivalent to 2 SHA-1 compressions. He estimated this attack could be extended to a full collision with a complexity around 2.
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Unlike SHA-1 and SHA-2, Keccak does not have the length-extension weakness, hence does not need the HMAC nested construction. Instead, MAC computation can be performed by simply prepending the message with the
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At the Rump Session of CRYPTO 2006, Christian Rechberger and Christophe De Cannière claimed to have discovered a collision attack on SHA-1 that would allow an attacker to select at least parts of the message.
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function, but at a complexity of 2 does not surpass the prior best available method at a theoretical level (2), though potentially at a practical level (≤2). This attack has a memory requirement of 500+ GB.
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for the two other chosen square roots of primes 2 and 5, with possibly usable arithmetic properties across successive rounds, reducing the strength of the algorithm against finding collisions on some bits.
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is the number of bits in the message digest, finding a message that corresponds to a given message digest can always be done using a brute force search in approximately 2 evaluations. This is called a
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attack, in which they generated two different PDF files with the same SHA-1 hash in roughly 2 SHA-1 evaluations. This attack is about 100,000 times faster than brute forcing a SHA-1 collision with a
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at the CRYPTO 2005 Rump Session, lowering the complexity required for finding a collision in SHA-1 to 2. On 18 December 2007 the details of this result were explained and verified by Martin Cochran.
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Some of the applications that use cryptographic hashes, like password storage, are only minimally affected by a collision attack. Constructing a password that works for a given account requires a
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The method was based on their earlier work, as well as the auxiliary paths (or boomerangs) speed-up technique from Joux and Peyrin, and using high performance/cost efficient GPU cards from
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Christophe De Cannière and Christian Rechberger further improved the attack on SHA-1 in "Finding SHA-1 Characteristics: General Results and Applications," receiving the Best Paper Award at
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of a hash function is usually compared to a symmetric cipher of half the message digest length. SHA-1, which has a 160-bit message digest, was originally thought to have 80-bit strength.
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National Institute of Standards and Technology said, "Federal agencies should stop using SHA-1 for...applications that require collision resistance as soon as practical, and must use the
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A 2011 attack by Marc Stevens can produce hash collisions with a complexity between 2 and 2 operations. The first public collision was published on 23 February 2017. SHA-1 is prone to
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As of December 2013, there are over 2000 validated implementations of SHA-1, with 14 of them capable of handling messages with a length in bits not a multiple of eight (see
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should be reconsidered. After the CRYPTO 2004 results were published, NIST announced that they planned to phase out the use of SHA-1 by 2010 in favor of the SHA-2 variants.
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able to freely choose the initial internal state), but undermines the security claims for SHA-1. In particular, it was the first time that an attack on full SHA-1 had been
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append the bit '1' to the message e.g. by adding 0x80 if message length is a multiple of 8 bits. append 0 ≤ k < 512 bits '0', such that the resulting message length in
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family of hash functions for these applications after 2010", though that was later relaxed to allow SHA-1 to be used for verifying old digital signatures and time stamps.
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h0 = 0x67452301 h1 = 0xEFCDAB89 h2 = 0x98BADCFE h3 = 0x10325476 h4 = 0xC3D2E1F0 ml = message length in bits (always a multiple of the number of bits in a character).
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formally deprecated use of SHA-1 in 2011 and disallowed its use for digital signatures in 2013, and declared that it should be phased out by 2030. As of 2020,
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published an attack on a reduced version of SHA-1 – 53 out of 80 rounds – which finds collisions with a computational effort of fewer than 2 operations.
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Due to the block and iterative structure of the algorithms and the absence of additional final steps, all SHA functions (except SHA-3) are vulnerable to
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If you have disk corruption, if you have DRAM corruption, if you have any kind of problems at all, Git will notice them. It's not a question of
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Since 2005, SHA-1 has not been considered secure against well-funded opponents; as of 2010 many organizations have recommended its replacement.
5470: 4286: 1068: 768:– by extending the message and recalculating the hash without knowing the key. A simple improvement to prevent these attacks is to hash twice: 5090: 4337: 4205: 3474: 5010: 4245: 1082: 3290:
Sotirov, Alexander; Stevens, Marc; Appelbaum, Jacob; Lenstra, Arjen; Molnar, David; Osvik, Dag Arne; de Weger, Benne (December 30, 2008).
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On 24 April 2019 a paper by Gaëtan Leurent and Thomas Peyrin presented at Eurocrypt 2019 described an enhancement to the previously best
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Marc Stevens; Elie Bursztein; Pierre Karpman; Ange Albertini; Yarik Markov; Alex Petit Bianco; Clement Baisse (February 23, 2017).
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Marc Stevens; Elie Bursztein; Pierre Karpman; Ange Albertini; Yarik Markov; Alex Petit Bianco; Clement Baisse (February 23, 2017).
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use SHA-1, not for security, but to identify revisions and to ensure that the data has not changed due to accidental corruption.
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shortly after publication and was superseded by the revised version, published in 1995 in FIPS PUB 180-1 and commonly designated
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De Cannière, Christophe; Rechberger, Christian (2006-11-15). "Finding SHA-1 Characteristics: General Results and Applications".
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brought the complexity of finding collisions down to 2, which was estimated to take 1 hour on an average PC from the year 2008.
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Instead of the formulation from the original FIPS PUB 180-1 shown, the following equivalent expressions may be used to compute
3535:"NIST Brief Comments on Recent Cryptanalytic Attacks on Secure Hashing Functions and the Continued Security Provided by SHA-1" 5455: 5026: 3958: 3651: 3584: 3518: 3387: 3096: 1072: 839:, SHA-0 and other hash functions. The complexity of their attack on SHA-0 is 2, significantly better than the attack by Joux 475: 3576: 3712: 3278: 3268: 2963: 1820: 318:
against SHA-1, publishing two dissimilar PDF files which produced the same SHA-1 hash. However, SHA-1 is still secure for
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against SHA-1 are practical. As such, it is recommended to remove SHA-1 from products as soon as possible and instead use
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and partial-message collision attacks. These attacks allow an attacker to forge a message signed only by a keyed hash –
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IBM z/Architecture Principles of Operation, publication number SA22-7832. See KIMD and KLMD instructions in Chapter 7.
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Manuel, Stéphane (2011). "Classification and Generation of Disturbance Vectors for Collision Attacks against SHA-1".
3534: 3404: 2638: 2618: 2564: 1008: 91: 695:, consisting of finding two different messages that produce the same message digest, requires on average only about 4195:, Rafi Chen, Near-Collisions of SHA-0, Cryptology ePrint Archive, Report 2004/146, 2004 (appeared on CRYPTO 2004), 2729: 1028: 4391: 1150:
Even a small change in the message will, with overwhelming probability, result in many bits changing due to the
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Note 1: All variables are unsigned 32-bit quantities and wrap modulo 2 when calculating, except for
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A CellBE-based HPC application for the analysis of vulnerabilities in cryptographic hash functions
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In light of the results for SHA-0, some experts suggested that plans for the use of SHA-1 in new
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Implementations of all FIPS-approved security functions can be officially validated through the
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can be found with complexity 2, fewer than the 2 for an ideal hash function of the same size.
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On 17 August 2004, at the Rump Session of CRYPTO 2004, preliminary results were announced by
599: 84: 4239: 521:. SHA-1 differs from SHA-0 only by a single bitwise rotation in the message schedule of its 5392: 5316: 4721: 4625: 4575: 4550: 4304: 4156: 3597: 3214: 2513: 2456: 556: 280: 204: 3775:"Classification and Generation of Disturbance Vectors for Collision Attacks against SHA-1" 3342: 8: 5155: 5046: 4923: 4872: 4811: 4711: 4630: 4590: 4570: 3693:"Collisions for 72-step and 73-step SHA-1: Improvements in the Method of Characteristics" 3482: 3455: 3242: 2622: 1779:
This transformation keeps all operands 64-bit aligned and, by removing the dependency of
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Grieu, Francois (18 August 2004). "Re: Any advance news from the crypto rump session?".
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Secure Hash Standard, Federal Information Processing Standards Publication FIPS PUB 180
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SHA-1 forms part of several widely used security applications and protocols, including
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the most efficient disturbance vector is Codeword2 first reported by Jutla and Patthak
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message digest algorithms, but generates a larger hash value (160 bits vs. 128 bits).
5321: 5311: 5182: 4857: 3968: 3954: 3647: 3514: 3383: 3092: 2634: 2570: 2560: 2548: 722: 715: 333: 4271:, High Performance Computing and Communication international conference, August 2010 3822: 999:. As such, the authors recommended that SHA-1 be deprecated as quickly as possible. 853:, and Hongbo Yu was announced which could find collisions in SHA-0 in 2 operations. 497:. The original specification of the algorithm was published in 1993 under the title 349: 5256: 4944: 4898: 4660: 3946: 3810: 3639: 3504: 3447: 3375: 3027: 2694: 2626: 2552: 1873: 1289:
to −64 ≡ 448 (mod 512) append ml, the original message length in bits, as a 64-bit
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Within each word, the most significant byte is stored in the leftmost byte position
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on August 3, 2020, which also effectively ended the update servers for versions of
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each chunk break chunk into sixteen 32-bit big-endian words w, 0 ≤ i ≤ 15
509:(National Institute of Standards and Technology). This version is now often named 4959: 4908: 4903: 4691: 4406: 4363: 4327: 3950: 3580: 3573: 3478: 2630: 1893: 1086: 1016: 905:
On 17 August 2005, an improvement on the SHA-1 attack was announced on behalf of
711: 700: 684: 587: 303: 4298: 3716: 3509: 3032: 784:(the length of 0, zero block, is equal to the block size of the hash function). 5331: 5251: 5212: 5160: 5145: 4949: 4677: 4126: 4074: 3374:. Lecture Notes in Computer Science. Vol. 1462. Springer. pp. 56–71. 2597: 2468: 1772: 1748: 1336: 1103: 946: 876: 850: 805: 704: 640: 628: 467: 345: 329: 257: 4346: 4315: 3911: 3814: 5449: 5412: 5367: 5326: 5306: 5202: 5165: 5140: 5041: 4918: 4322: 2574: 1449:
h0 = h0 + a h1 = h1 + b h2 = h2 + c h3 = h3 + d h4 = h4 + e
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One of the reasons I care is for the kernel, we had a break in on one of the
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Computer Security Division, Information Technology Laboratory (2017-01-04).
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Computer Security Division, Information Technology Laboratory (2017-01-04).
2701:. Federal Information Processing Standards Publication 180-4. Archived from 2698: 2644: 272:. The algorithm has been cryptographically broken but is still widely used. 5362: 5207: 5197: 5187: 5150: 5099: 4211: 4201: 3146: 3003:"CWI, Google announce first collision for Industry Security Standard SHA-1" 2920:"NIST.gov – Computer Security Division – Computer Security Resource Center" 1306:
Message schedule: extend the sixteen 32-bit words into eighty 32-bit words:
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SHA-1 and SHA-2 are the hash algorithms required by law for use in certain
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this is possible; until the end of 2008, it was possible to create forged
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Hardware acceleration is provided by the following processor extensions:
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A. Cilardo, L. Esposito, A. Veniero, A. Mazzeo, V. Beltran, E. Ayugadé,
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sites where people tried to corrupt the kernel source code repositories.
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means the "internal hash sum" after each compression of a data block.
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is the message digest, which can be written in hexadecimal (base 16).
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Birthday-Near-Collision Attack – first practical chosen-prefix attack
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processors (equivalent to 13 days of full-time use of the computer).
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The chosen constant values used in the algorithm were assumed to be
5336: 5296: 4985: 4882: 4867: 4862: 4852: 4816: 4736: 4650: 4530: 4196: 2436: 2426: 2411: 161: 3857: 3692: 3616: 3556: 3269:"openpgp: Pass the hash algo's security reqs to Policy::signature" 2850:"Google will drop SHA-1 encryption from Chrome by January 1, 2017" 4821: 4777: 4555: 3219: 2781:"Critical flaw demonstrated in common digital security algorithm" 2441: 933:. The effort was abandoned May 12, 2009 due to lack of progress. 4002:"Improving the Performance of the Secure Hash Algorithm (SHA-1)" 3869: 3088:
Proceedings of International Conference on Advances in Computing
2802:"New Cryptanalytic Results Against SHA-1 – Schneier on Security" 2592: 1731:
It was also shown that for the rounds 32–79 the computation of:
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integer. Thus, the total length is a multiple of 512 bits.
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Below is a list of cryptography libraries that support SHA-1:
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Produce the final hash value (big-endian) as a 160-bit number:
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produces a hash with different values for 81 of the 160 bits:
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5) + f + e + k + w e = d d = c c = b
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Interview with Yiqun Lisa Yin concerning the attack on SHA-1
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Recommendation for Key Management: Part 1 – General, Table 3
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McDonald, Cameron; Hawkes, Philip; Pieprzyk, Josef (2009).
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The SHA hash functions have been used for the basis of the
506: 319: 276: 253: 3188: 3163: 3084: 2600:; Karpman, Pierre; Albertini, Ange; Markov, Yarik (2017). 1615:(0 ≤ i ≤ 19): f = vec_sel(d, c, b) 941:
collision vector that was already known before this work.
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Selvarani, R.; Aswatha, Kumar; T V Suresh, Kumar (2012).
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are the same with the MD5 algorithm, and the fifth (for
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ml, the message length, which is a 64-bit quantity, and
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Cryptographically secure pseudorandom number generator
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and the particular computing environment. However, a
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SHA-1 was developed as part of the U.S. Government's
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Note 3: SHA-0 differs by not having this leftrotate.
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hh, the message digest, which is a 160-bit quantity.
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One iteration within the SHA-1 compression function:
4077:; Karpman, Pierre; Albertini, Ange; Markov, Yarik. 3922: 3366:Chabaud, Florent; Joux, Antoine (October 3, 1998). 2509:International Association for Cryptologic Research 405: 3858:"Differential Path for SHA-1 with complexity O()" 2530: 2528: 2459:: Available on some Intel and AMD x86 processors. 1296:Process the message in successive 512-bit chunks: 1258:Note 2: All constants in this pseudo code are in 291:. Replacing SHA-1 is urgent where it is used for 5447: 3343:"Schneier on Security: Cryptography Engineering" 3191:"NIST Policy on Hash Functions – Hash Functions" 3166:"NIST Policy on Hash Functions – Hash Functions" 2885:"The SHAppening: freestart collisions for SHA-1" 2883:Stevens, Marc; Karpman, Pierre; Peyrin, Thomas. 2882: 2754: 2752: 2750: 2588: 2586: 2584: 328:has discontinued SHA-1 code signing support for 3494:Manuel, Stéphane; Peyrin, Thomas (2008-02-11). 1435:d k = 0xCA62C1D6 temp = (a 674: 547:Cryptographic hash function § Applications 4316:Cryptography Research – Hash Collision Q&A 4310:Explanation of the successful attacks on SHA-1 2906:"Schneier on Security: Cryptanalysis of SHA-1" 2824:Leurent, Gaëtan; Peyrin, Thomas (2020-01-05). 2525: 1797: 1167:SHA1("The quick brown fox jumps over the lazy 1119:SHA1("The quick brown fox jumps over the lazy 1069:National Institute of Standards and Technology 598:A prime motivation for the publication of the 5084: 4392: 4042:Tao, Xie; Liu, Fanbao; Feng, Dengguo (2013). 3928: 2878: 2876: 2874: 2872: 2870: 2823: 2747: 2581: 1828: 687:and may or may not be practical depending on 505:PUB 180, by U.S. government standards agency 470:based on principles similar to those used by 336:that have not been updated to SHA-2, such as 264:digits. It was designed by the United States 85: 4240:An Illustrated Guide to Cryptographic Hashes 3554: 3493: 3359: 2964:"NIST Retires SHA-1 Cryptographic Algorithm" 4206:Efficient Collision Search Attacks on SHA-0 3999: 3555:Rijmen, Vincent; Oswald, Elisabeth (2005). 3472:Efficient Collision Search Attacks on SHA-0 3365: 3313:"Strengths of Keccak – Design and security" 2785:Nanyang Technological University, Singapore 2475: 5091: 5077: 4399: 4385: 4041: 2867: 2833:Cryptology ePrint Archive, Report 2020/014 2541:Attacks on Hash Functions and Applications 2499:Comparison of cryptographic hash functions 1835: 1821: 1092: 92: 78: 3936:. In Yuval Ishai; Vincent Rijmen (eds.). 3508: 3031: 4331:) is being considered for deletion. See 4230:Security Analysis of SHA-256 and Sisters 3929:Leurent, Gaëtan; Peyrin, Thomas (2019). 3277:– see section "Background" in the 3266: 2943: 2903: 1209:da39a3ee5e6b4b0d3255bfef95601890afd80709 1177:de9f2c7fd25e1b3afad3e85a0bd17d9b100db4b3 1129:2fd4e1c67a2d28fced849ee1bb76e7391b93eb12 1009:CWI (Centrum Wiskunde & Informatica) 835:, Feng, Lai, and Yu, about an attack on 579:; both MD5 and SHA-1 are descended from 363: 248:which takes an input and produces a 160- 4154: 3939:Advances in Cryptology – EUROCRYPT 2019 3636:Advances in Cryptology – ASIACRYPT 2006 3614: 2534: 1446:Add this chunk's hash to result so far: 1423:d) k = 0x8F1BBCDC 1198:The hash of the zero-length string is: 1059:Cryptographic Module Validation Program 929:began August 8, 2007, organized by the 270:Federal Information Processing Standard 5448: 4293:FIPS 180-4: Secure Hash Standard (SHS) 3800: 3243:"Re: Starting to think about sha-256?" 3125: 3026:(Technical Report). NIST. p. 56. 3021: 2976: 1443:30 b = a a = temp 1387:d) k = 0x5A827999 1052: 434:is the expanded message word of round 5471:National Security Agency cryptography 5072: 4380: 4097:"Announcing the first SHA1 collision" 3585:Massachusetts Institute of Technology 3445: 3402: 2904:Schneier, Bruce (February 18, 2005). 2760:"SHA-1 Broken – Schneier on Security" 2665:"Announcing the first SHA1 collision" 1845: 1399:d k = 0x6ED9EBA1 1343:Initialize hash value for this chunk: 1073:Communications Security Establishment 4216:Finding Collisions in the Full SHA-1 4169: 3240: 2844: 2842: 2796: 2794: 2775: 2773: 2730:"The end of SHA-1 on the Public Web" 2724: 2722: 2682: 2680: 856:Another attack in 2008 applying the 382:is a nonlinear function that varies; 4127:"The Keccak sponge function family" 3454:. Event occurs at 05:06:02 +0200. 3372:Advances in Cryptology – CRYPTO '98 1719:(40 ≤ i ≤ 59): f = vec_sel(c, b, c 1513:The first four starting values for 1230: 302:vendors ceased acceptance of SHA-1 13: 4080:The first collision for full SHA-1 3877:"Cryptanalysis of MD5 & SHA-1" 3772: 3368:"Differential collisions in SHA-0" 3215:"Tech Talk: Linus Torvalds on git" 3144: 2966:(Press release). NIST. 2022-12-15. 2944:Schneier, Bruce (8 October 2015). 2607:The First Collision for Full SHA-1 2489:since version 2.13.0 of May 2017. 2392: 1299:break message into 512-bit chunks 1003:SHAttered – first public collision 575:. Those applications can also use 14: 5482: 4335:to help reach a consensus. › 4289:site for the Secure Hash Standard 4276: 3595: 3317:The Keccak sponge function family 2839: 2791: 2770: 2719: 2677: 2619:Lecture Notes in Computer Science 1238:for the SHA-1 algorithm follows: 1097: 958: 666:However Git does not require the 619: 5426: 5425: 5098: 4214:, Yiqun Lisa Yin and Hongbo Yu, 4204:, Hongbo Yu and Yiqun Lisa Yin, 3574:Collision Search Attacks on SHA1 1035:–like digest functions based on 804:, presented an attack on SHA-0: 454: 4163: 4148: 4139: 4119: 4109: 4063: 4035: 4017: 4000:Locktyukhin, Max (2010-03-31), 3993: 3975: 3904: 3886: 3849: 3832: 3803:Designs, Codes and Cryptography 3794: 3766: 3748: 3730: 3705: 3685: 3660: 3627: 3608: 3589: 3567: 3548: 3527: 3497:Collisions on SHA-0 in One Hour 3487: 3465: 3439: 3414: 3396: 3335: 3305: 3283: 3260: 3234: 3207: 3182: 3157: 3138: 3126:Kramer, Samuel (11 July 1994). 3119: 3105: 3078: 3064: 3040: 3015: 2995: 2970: 2956: 2937: 2912: 2897: 1403:40 ≤ i ≤ 59 f = (b 886:In February 2005, an attack by 845:In February 2005, an attack by 606:, in which it is incorporated. 540: 535: 447:is the round constant of round 415:denotes a left bit rotation by 314:announced they had performed a 5287:Information-theoretic security 4996:NIST hash function competition 4301:(with sample C implementation) 4256:(131): 35317–35318. 1994-07-11 4234:Selected Areas in Cryptography 2504:Hash function security summary 1427:60 ≤ i ≤ 79 f = b 1391:20 ≤ i ≤ 39 f = b 679:For a hash function for which 359: 1: 4320: 4185: 4006:Intel Software Knowledge Base 3713:"SHA-1 Collision Search Graz" 931:Graz University of Technology 894:would require 2 operations.) 5456:Cryptographic hash functions 5001:Password Hashing Competition 4412:message authentication codes 4408:Cryptographic hash functions 4172:"Git 2.13 has been released" 4045:Fast Collision Attack on MD5 3951:10.1007/978-3-030-17659-4_18 2688:"Secure Hash Standard (SHS)" 2631:10.1007/978-3-319-63688-7_19 1816:Comparison of SHA functions 1499:nothing up my sleeve numbers 1223:2jmj7l5rSw0yVb/vlWAYkK/YBwk= 1191:3p8sf9JeGzr60+haC9F9mxANtLM= 1143:L9ThxnotKPzthJ7hu3bnORuT6xI= 1102:These are examples of SHA-1 796:98, two French researchers, 675:Cryptanalysis and validation 528: 372:A, B, C, D and E are 32-bit 7: 5403:Message authentication code 5358:Cryptographic hash function 5171:Cryptographic hash function 4955:Merkle–Damgård construction 3840:"SHA-1 collisions now 2^52" 3756:"Crypto 2006 Rump Schedule" 3598:"Fixing a hole in security" 3510:10.1007/978-3-540-71039-4_2 3370:. In Krawczyk, Hugo (ed.). 3151:Cryptography Stack Exchange 3052:techcommunity.microsoft.com 3033:10.6028/NIST.SP.800-57pt1r5 3022:Barker, Elaine (May 2020). 2946:"SHA-1 Freestart Collision" 2613:. Advances in Cryptology – 2492: 1811:Merkle–Damgård construction 1798:Comparison of SHA functions 306:in 2017. In February 2017, 260:– typically rendered as 40 198:Merkle–Damgård construction 16:Cryptographic hash function 10: 5487: 5282:Harvest now, decrypt later 4283:CSRC Cryptographic Toolkit 4170:King, Jeff (10 May 2017). 3405:"Near-Collisions of SHA-0" 3392:– via Springer Link. 3267:Walfield, Neal H. (2020). 2977:Goodin, Dan (2016-05-04). 1808: 1624:Bitwise majority function. 1056: 870: 668:second preimage resistance 604:Digital Signature Standard 544: 513:. It was withdrawn by the 459:denotes addition modulo 2. 425:varies for each operation; 5421: 5398:Post-quantum cryptography 5350: 5106: 5068: 5019: 4973: 4937: 4891: 4840: 4768: 4745: 4674: 4518: 4479: 4441: 4418: 4376: 4372: 4348:Lecture on SHA-1 (1h 18m) 4053:Cryptology ePrint Archive 3862:Cryptology ePrint Archive 3815:10.1007/s10623-010-9458-9 3782:Cryptology ePrint Archive 3621:Cryptology ePrint Archive 3561:Cryptology ePrint Archive 3422:"Report from Crypto 2004" 2604:; Shacham, Hovav (eds.). 2322: 2283: 2278: 2262: 2227: 2132: 2129: 2126: 2119: 2040: 2015: 2001: 1990: 1987: 1984: 1977: 1974: 1965: 1911: 1898: 1887: 1879: 1871: 1868: 1865: 1860: 1853: 1848: 1505:The four round constants 1011:and Google announced the 1007:On 23 February 2017, the 406:{\displaystyle \lll _{n}} 221: 213: 203: 193: 183: 173: 168: 153: 134: 124: 114: 109: 73: 53: 48: 33: 28: 21: 5388:Quantum key distribution 5378:Authenticated encryption 5233:Random number generation 4749:key derivation functions 4333:templates for discussion 3615:Cochran, Martin (2007). 3403:Biham, Eli; Chen, Rafi. 2519: 2476:Collision countermeasure 1882:length extension attacks 1533:in the main loop above: 1154:. For example, changing 787: 643:said about Git in 2007: 266:National Security Agency 256:) hash value known as a 224:length extension attacks 119:National Security Agency 5383:Public-key cryptography 5373:Symmetric-key algorithm 5176:Key derivation function 5136:Cryptographic primitive 5129:Authentication protocol 5119:Outline of cryptography 5114:History of cryptography 5027:Hash-based cryptography 4929:Length extension attack 2699:10.6028/NIST.FIPS.180-4 1538:Bitwise choice between 1207:Outputted hexadecimal: 1175:Outputted hexadecimal: 1127:Outputted hexadecimal: 1093:Examples and pseudocode 242:Secure Hash Algorithm 1 5124:Cryptographic protocol 5037:Message authentication 4155:Stevens, Marc (2017). 3279:rendered documentation 3273:gitlab.com/sequoia-pgp 1846:Algorithm and variant 1755:can be replaced with: 1693:(40 ≤ i ≤ 59): f = (b 1671:(40 ≤ i ≤ 59): f = (b 1649:(40 ≤ i ≤ 59): f = (b 1627:(40 ≤ i ≤ 59): f = (b 1593:(0 ≤ i ≤ 19): f = (b 1571:(0 ≤ i ≤ 19): f = (b 1106:in hexadecimal and in 733:certificates using an 463: 407: 23:Secure Hash Algorithms 5461:Broken hash functions 5277:End-to-end encryption 5223:Cryptojacking malware 3072:"RSA FAQ on Capstone" 2734:Mozilla Security Blog 2485:since March 2017 and 1809:Further information: 1553:(0 ≤ i ≤ 19): f = d 1272:Initialize variables: 1067:, jointly run by the 997:intelligence agencies 600:Secure Hash Algorithm 545:Further information: 478:in the design of the 408: 367: 281:chosen-prefix attacks 5393:Quantum cryptography 5317:Trusted timestamping 4101:Google Security Blog 4086:(Technical report). 4055:(Technical report). 4025:"Measurements table" 2950:Schneier on Security 2669:Google Security Blog 2625:. pp. 570–596. 2514:Secure Hash Standard 2457:Intel SHA extensions 1802:In the table below, 1029:chosen-prefix attack 699:evaluations using a 523:compression function 499:Secure Hash Standard 390: 5466:Checksum algorithms 5156:Cryptographic nonce 4924:Side-channel attack 3483:Shandong University 2621:. Vol. 10401. 1991:And, Xor, Or, Rot, 1941:And, Xor, Or, Rot, 1842: 1723:d) 1565:d)) 1080:SHS Validation List 1053:Official validation 350:Windows 2000 Server 106: 5262:Subliminal channel 5246:Pseudorandom noise 5193:Key (cryptography) 4981:CAESAR Competition 4965:HAIFA construction 4914:Brute-force attack 4362:2017-04-24 at the 3773:Manuel, Stéphane. 3644:10.1007/11935230_1 3579:2005-02-19 at the 3477:2005-09-10 at the 3380:10.1007/BFb0055720 2787:. 24 January 2020. 2736:. 23 February 2017 2284:And, Xor, Rot, Not 2027:(collisions found) 1999:(collisions found) 1949:(collisions found) 1815: 1085:2011-08-23 at the 892:brute-force search 464: 403: 293:digital signatures 104: 5443: 5442: 5439: 5438: 5322:Key-based routing 5312:Trapdoor function 5183:Digital signature 5064: 5063: 5060: 5059: 4858:ChaCha20-Poly1305 4675:Password hashing/ 3960:978-3-030-17658-7 3744:. 27 August 2023. 3653:978-3-540-49475-1 3557:"Update on SHA-1" 3520:978-3-540-71038-7 3389:978-3-540-64892-5 3241:Torvalds, Linus. 3098:978-81-322-0740-5 2549:Leiden University 2538:(June 19, 2012). 2390: 2389: 1880:Security against 1874:collision attacks 1872:Security against 1316:16 to 79 778:) = SHA(SHA(0 || 723:Password cracking 466:SHA-1 produces a 230: 229: 102: 101: 5478: 5429: 5428: 5257:Insecure channel 5093: 5086: 5079: 5070: 5069: 4945:Avalanche effect 4899:Collision attack 4442:Common functions 4401: 4394: 4387: 4378: 4377: 4374: 4373: 4370: 4369: 4349: 4264: 4262: 4261: 4250:Federal Register 4226:Helena Handschuh 4180: 4179: 4167: 4161: 4160: 4152: 4146: 4143: 4137: 4136: 4134: 4133: 4123: 4117: 4113: 4107: 4104: 4091: 4085: 4067: 4061: 4060: 4050: 4039: 4033: 4032: 4021: 4015: 4014: 4013: 4012: 3997: 3991: 3990: 3979: 3973: 3972: 3944: 3935: 3926: 3920: 3919: 3908: 3902: 3901: 3898:www.schneier.com 3890: 3884: 3883: 3881: 3873: 3867: 3865: 3853: 3847: 3846: 3844: 3836: 3830: 3826: 3809:(1–3): 247–263. 3798: 3792: 3791: 3789: 3788: 3779: 3770: 3764: 3763: 3752: 3746: 3745: 3734: 3728: 3727: 3725: 3724: 3715:. Archived from 3709: 3703: 3702: 3700: 3699: 3689: 3683: 3682: 3680: 3679: 3670:. Archived from 3664: 3658: 3657: 3631: 3625: 3624: 3612: 3606: 3605: 3593: 3587: 3571: 3565: 3564: 3552: 3546: 3545: 3543: 3542: 3537:. 23 August 2017 3531: 3525: 3524: 3512: 3502: 3491: 3485: 3469: 3463: 3462: 3443: 3437: 3436: 3434: 3433: 3424:. Archived from 3418: 3412: 3411: 3409: 3400: 3394: 3393: 3363: 3357: 3356: 3354: 3353: 3347:www.schneier.com 3339: 3333: 3332: 3326: 3324: 3309: 3303: 3302: 3300: 3298: 3287: 3281: 3276: 3264: 3258: 3257: 3255: 3253: 3238: 3232: 3231: 3229: 3227: 3211: 3205: 3204: 3202: 3201: 3186: 3180: 3179: 3177: 3176: 3161: 3155: 3154: 3142: 3136: 3135: 3132:Federal Register 3123: 3117: 3116: 3109: 3103: 3102: 3082: 3076: 3075: 3068: 3062: 3061: 3059: 3058: 3044: 3038: 3037: 3035: 3019: 3013: 3012: 3010: 3009: 2999: 2993: 2992: 2990: 2989: 2974: 2968: 2967: 2960: 2954: 2953: 2941: 2935: 2934: 2932: 2931: 2922:. Archived from 2916: 2910: 2909: 2901: 2895: 2894: 2892: 2891: 2880: 2865: 2864: 2862: 2861: 2846: 2837: 2836: 2830: 2821: 2810: 2809: 2806:www.schneier.com 2798: 2789: 2788: 2777: 2768: 2767: 2764:www.schneier.com 2756: 2745: 2744: 2742: 2741: 2726: 2717: 2716: 2714: 2713: 2707: 2692: 2684: 2675: 2672: 2659: 2657: 2655: 2649: 2643:. Archived from 2612: 2590: 2579: 2578: 2546: 2532: 2376: 2369: 2349: 2342: 2281: 2267: 2233: 2220: 2215: 2194: 2188: 2146: 2138: 2137:Add (mod 2) 2124: 2082: 2081:Add (mod 2) 2068: 2046: 2021: 1994: 1993:Add (mod 2) 1982: 1971: 1944: 1943:Add (mod 2) 1937: 1927: 1899:First published 1843: 1837: 1830: 1823: 1814: 1786: 1782: 1728: 1718: 1692: 1670: 1648: 1626: 1620: 1614: 1592: 1570: 1552: 1546:, controlled by 1532: 1524: 1520: 1516: 1508: 1493: 1454: 1448: 1351: 1345: 1321: 1308: 1298: 1280: 1274: 1269: 1264: 1255: 1250: 1245: 1231:SHA-1 pseudocode 1224: 1210: 1204: 1192: 1178: 1172: 1170: 1161: 1157: 1152:avalanche effect 1144: 1130: 1124: 1122: 881:Elisabeth Oswald 858:boomerang attack 783: 767: 755: 742:length-extension 698: 627:systems such as 625:Revision control 495:Capstone project 472:Ronald L. Rivest 458: 414: 412: 410: 409: 404: 402: 401: 316:collision attack 304:SSL certificates 268:, and is a U.S. 107: 103: 94: 87: 80: 19: 18: 5486: 5485: 5481: 5480: 5479: 5477: 5476: 5475: 5446: 5445: 5444: 5435: 5417: 5346: 5102: 5097: 5056: 5015: 4974:Standardization 4969: 4960:Sponge function 4933: 4909:Birthday attack 4904:Preimage attack 4887: 4843: 4836: 4764: 4747: 4746:General purpose 4741: 4676: 4670: 4519:Other functions 4514: 4481:SHA-3 finalists 4475: 4437: 4414: 4405: 4364:Wayback Machine 4347: 4336: 4312:(3 pages, 2006) 4279: 4274: 4259: 4257: 4244: 4236:2003: pp175–193 4188: 4183: 4176:The GitHub Blog 4168: 4164: 4153: 4149: 4144: 4140: 4131: 4129: 4125: 4124: 4120: 4114: 4110: 4088:Google Research 4083: 4075:Bursztein, Elie 4068: 4064: 4048: 4040: 4036: 4023: 4022: 4018: 4010: 4008: 3998: 3994: 3981: 3980: 3976: 3961: 3942: 3933: 3927: 3923: 3916:code.google.com 3910: 3909: 3905: 3892: 3891: 3887: 3879: 3875: 3874: 3870: 3854: 3850: 3842: 3838: 3837: 3833: 3799: 3795: 3786: 3784: 3777: 3771: 3767: 3754: 3753: 3749: 3736: 3735: 3731: 3722: 3720: 3711: 3710: 3706: 3697: 3695: 3691: 3690: 3686: 3677: 3675: 3666: 3665: 3661: 3654: 3632: 3628: 3613: 3609: 3596:Lemos, Robert. 3594: 3590: 3581:Wayback Machine 3572: 3568: 3553: 3549: 3540: 3538: 3533: 3532: 3528: 3521: 3500: 3492: 3488: 3479:Wayback Machine 3470: 3466: 3444: 3440: 3431: 3429: 3420: 3419: 3415: 3407: 3401: 3397: 3390: 3364: 3360: 3351: 3349: 3341: 3340: 3336: 3322: 3320: 3311: 3310: 3306: 3296: 3294: 3288: 3284: 3265: 3261: 3251: 3249: 3239: 3235: 3225: 3223: 3213: 3212: 3208: 3199: 3197: 3187: 3183: 3174: 3172: 3162: 3158: 3143: 3139: 3124: 3120: 3111: 3110: 3106: 3099: 3083: 3079: 3070: 3069: 3065: 3056: 3054: 3046: 3045: 3041: 3020: 3016: 3007: 3005: 3001: 3000: 2996: 2987: 2985: 2975: 2971: 2962: 2961: 2957: 2942: 2938: 2929: 2927: 2918: 2917: 2913: 2902: 2898: 2889: 2887: 2881: 2868: 2859: 2857: 2848: 2847: 2840: 2828: 2822: 2813: 2800: 2799: 2792: 2779: 2778: 2771: 2758: 2757: 2748: 2739: 2737: 2728: 2727: 2720: 2711: 2709: 2705: 2690: 2686: 2685: 2678: 2653: 2651: 2650:on May 15, 2018 2647: 2641: 2610: 2598:Bursztein, Elie 2591: 2582: 2567: 2544: 2533: 2526: 2522: 2495: 2478: 2395: 2393:Implementations 2385: 2380: 2374: 2372: 2363: 2362: 2353: 2344: 2343: 2337: 2331: 2319: 2317: 2315: 2310: 2308: 2306: 2301: 2299: 2297: 2292: 2290: 2288: 2279: 2275: 2273: 2271: 2265: 2264: 2259: 2257: 2255: 2248: 2244: 2240: 2229: 2218: 2213: 2209: 2204: 2199: 2192: 2190: 2186: 2144: 2136: 2134: 2122: 2121: 2106: 2101: 2096: 2091: 2086: 2080: 2078: 2066: 2065: 2060: 2053: 2042: 2026: 2017: 1998: 1992: 1980: 1979: 1967: 1948: 1942: 1935: 1934: 1925: 1924: 1888:Performance on 1884: 1876: 1862: 1857: 1855: 1850: 1841: 1813: 1800: 1784: 1780: 1777: 1753: 1729: 1726:(alternative 5) 1724: 1716:(alternative 4) 1714: 1690:(alternative 3) 1688: 1668:(alternative 2) 1666: 1646:(alternative 1) 1644: 1622: 1618:(alternative 4) 1616: 1612:(alternative 3) 1610: 1590:(alternative 2) 1588: 1568:(alternative 1) 1566: 1536: 1530: 1522: 1518: 1514: 1506: 1491: 1488: 1450: 1444: 1347: 1341: 1317: 1304: 1294: 1278:Pre-processing: 1276: 1270: 1265: 1256: 1251: 1246: 1241: 1233: 1222: 1221:text encoding: 1208: 1202: 1190: 1189:text encoding: 1176: 1168: 1166: 1159: 1155: 1142: 1141:text encoding: 1128: 1120: 1118: 1114:text encoding. 1104:message digests 1100: 1095: 1087:Wayback Machine 1071:(NIST) and the 1061: 1055: 1025: 1017:birthday attack 1005: 961: 875:In early 2005, 873: 798:Florent Chabaud 790: 773: 769: 757: 745: 712:preimage attack 701:birthday attack 696: 685:preimage attack 677: 622: 588:U.S. government 549: 543: 538: 462: 446: 433: 397: 393: 391: 388: 387: 385: 362: 129: 125:First published 98: 69: 17: 12: 11: 5: 5484: 5474: 5473: 5468: 5463: 5458: 5441: 5440: 5437: 5436: 5434: 5433: 5422: 5419: 5418: 5416: 5415: 5410: 5408:Random numbers 5405: 5400: 5395: 5390: 5385: 5380: 5375: 5370: 5365: 5360: 5354: 5352: 5348: 5347: 5345: 5344: 5339: 5334: 5332:Garlic routing 5329: 5324: 5319: 5314: 5309: 5304: 5299: 5294: 5289: 5284: 5279: 5274: 5269: 5264: 5259: 5254: 5252:Secure channel 5249: 5243: 5242: 5241: 5230: 5225: 5220: 5215: 5213:Key stretching 5210: 5205: 5200: 5195: 5190: 5185: 5180: 5179: 5178: 5173: 5163: 5161:Cryptovirology 5158: 5153: 5148: 5146:Cryptocurrency 5143: 5138: 5133: 5132: 5131: 5121: 5116: 5110: 5108: 5104: 5103: 5096: 5095: 5088: 5081: 5073: 5066: 5065: 5062: 5061: 5058: 5057: 5055: 5054: 5049: 5044: 5039: 5034: 5029: 5023: 5021: 5017: 5016: 5014: 5013: 5008: 5003: 4998: 4993: 4988: 4983: 4977: 4975: 4971: 4970: 4968: 4967: 4962: 4957: 4952: 4950:Hash collision 4947: 4941: 4939: 4935: 4934: 4932: 4931: 4926: 4921: 4916: 4911: 4906: 4901: 4895: 4893: 4889: 4888: 4886: 4885: 4880: 4875: 4870: 4865: 4860: 4855: 4849: 4847: 4838: 4837: 4835: 4834: 4829: 4824: 4819: 4814: 4809: 4800: 4795: 4790: 4785: 4780: 4774: 4772: 4766: 4765: 4763: 4762: 4759: 4753: 4751: 4743: 4742: 4740: 4739: 4734: 4729: 4724: 4719: 4714: 4709: 4704: 4699: 4694: 4689: 4683: 4681: 4678:key stretching 4672: 4671: 4669: 4668: 4663: 4658: 4653: 4648: 4643: 4638: 4633: 4628: 4623: 4618: 4613: 4608: 4603: 4598: 4593: 4588: 4583: 4578: 4573: 4568: 4563: 4558: 4553: 4548: 4543: 4538: 4533: 4528: 4522: 4520: 4516: 4515: 4513: 4512: 4506: 4501: 4496: 4491: 4485: 4483: 4477: 4476: 4474: 4473: 4468: 4463: 4458: 4452: 4445: 4443: 4439: 4438: 4436: 4435: 4430: 4425: 4419: 4416: 4415: 4404: 4403: 4396: 4389: 4381: 4367: 4366: 4344: 4318: 4313: 4307: 4302: 4295: 4290: 4278: 4277:External links 4275: 4273: 4272: 4265: 4242: 4237: 4219: 4209: 4199: 4189: 4187: 4184: 4182: 4181: 4162: 4147: 4138: 4118: 4108: 4106: 4105: 4062: 4034: 4029:bench.cr.yp.to 4016: 3992: 3974: 3959: 3921: 3903: 3885: 3868: 3848: 3831: 3793: 3765: 3747: 3729: 3704: 3684: 3659: 3652: 3626: 3607: 3588: 3566: 3547: 3526: 3519: 3486: 3464: 3438: 3413: 3395: 3388: 3358: 3334: 3304: 3282: 3259: 3233: 3206: 3181: 3156: 3137: 3118: 3104: 3097: 3077: 3063: 3039: 3014: 2994: 2969: 2955: 2936: 2911: 2896: 2866: 2838: 2811: 2790: 2769: 2746: 2718: 2676: 2674: 2673: 2639: 2602:Katz, Jonathan 2580: 2565: 2547:(PhD thesis). 2523: 2521: 2518: 2517: 2516: 2511: 2506: 2501: 2494: 2491: 2477: 2474: 2473: 2472: 2469:z/Architecture 2465: 2460: 2450: 2449: 2444: 2439: 2434: 2429: 2424: 2419: 2414: 2409: 2404: 2394: 2391: 2388: 2387: 2382: 2377: 2370: 2355: 2350: 2335: 2325: 2324: 2321: 2312: 2303: 2294: 2285: 2282: 2277: 2268: 2261: 2252: 2235: 2225: 2224: 2221: 2216: 2211: 2206: 2201: 2196: 2182: 2181: 2178: 2175: 2172: 2169: 2166: 2163: 2157: 2156: 2153: 2150: 2147: 2142: 2139: 2133:And, Xor, Or, 2131: 2128: 2125: 2118: 2115: 2109: 2108: 2103: 2098: 2093: 2088: 2083: 2077:And, Xor, Or, 2075: 2072: 2069: 2062: 2057: 2048: 2038: 2037: 2034: 2031: 2028: 2023: 2013: 2012: 2009: 2006: 2003: 2000: 1995: 1989: 1986: 1983: 1976: 1973: 1963: 1962: 1959: 1956: 1953: 1950: 1945: 1939: 1938:in each round) 1936:(16 operations 1931: 1928: 1921: 1918: 1917:(as reference) 1909: 1908: 1905: 1904:Long messages 1901: 1900: 1897: 1886: 1878: 1870: 1867: 1864: 1859: 1852: 1847: 1840: 1839: 1832: 1825: 1817: 1804:internal state 1799: 1796: 1794:instructions. 1757: 1733: 1535: 1527: 1526: 1511: 1240: 1232: 1229: 1228: 1227: 1226: 1225: 1211: 1196: 1195: 1194: 1193: 1179: 1148: 1147: 1146: 1145: 1131: 1099: 1098:Example hashes 1096: 1094: 1091: 1057:Main article: 1054: 1051: 1033:Merkle–Damgård 1024: 1021: 1004: 1001: 978:The SHAppening 960: 959:The SHAppening 957: 877:Vincent Rijmen 872: 869: 851:Yiqun Lisa Yin 789: 786: 771: 716:weak passwords 676: 673: 664: 663: 656: 652: 641:Linus Torvalds 621: 620:Data integrity 618: 542: 539: 537: 534: 468:message digest 461: 460: 452: 442: 439: 429: 426: 420: 400: 396: 383: 377: 369: 361: 358: 348:versions from 346:Windows Server 330:Windows Update 258:message digest 228: 227: 219: 218: 211: 210: 207: 201: 200: 195: 191: 190: 187: 181: 180: 177: 171: 170: 166: 165: 155: 151: 150: 136: 132: 131: 126: 122: 121: 116: 112: 111: 100: 99: 97: 96: 89: 82: 74: 71: 70: 51: 50: 49:Main standards 46: 45: 35:hash functions 31: 30: 26: 25: 15: 9: 6: 4: 3: 2: 5483: 5472: 5469: 5467: 5464: 5462: 5459: 5457: 5454: 5453: 5451: 5432: 5424: 5423: 5420: 5414: 5413:Steganography 5411: 5409: 5406: 5404: 5401: 5399: 5396: 5394: 5391: 5389: 5386: 5384: 5381: 5379: 5376: 5374: 5371: 5369: 5368:Stream cipher 5366: 5364: 5361: 5359: 5356: 5355: 5353: 5349: 5343: 5340: 5338: 5335: 5333: 5330: 5328: 5327:Onion routing 5325: 5323: 5320: 5318: 5315: 5313: 5310: 5308: 5307:Shared secret 5305: 5303: 5300: 5298: 5295: 5293: 5290: 5288: 5285: 5283: 5280: 5278: 5275: 5273: 5270: 5268: 5265: 5263: 5260: 5258: 5255: 5253: 5250: 5247: 5244: 5239: 5236: 5235: 5234: 5231: 5229: 5226: 5224: 5221: 5219: 5216: 5214: 5211: 5209: 5206: 5204: 5203:Key generator 5201: 5199: 5196: 5194: 5191: 5189: 5186: 5184: 5181: 5177: 5174: 5172: 5169: 5168: 5167: 5166:Hash function 5164: 5162: 5159: 5157: 5154: 5152: 5149: 5147: 5144: 5142: 5141:Cryptanalysis 5139: 5137: 5134: 5130: 5127: 5126: 5125: 5122: 5120: 5117: 5115: 5112: 5111: 5109: 5105: 5101: 5094: 5089: 5087: 5082: 5080: 5075: 5074: 5071: 5067: 5053: 5050: 5048: 5045: 5043: 5042:Proof of work 5040: 5038: 5035: 5033: 5030: 5028: 5025: 5024: 5022: 5018: 5012: 5009: 5007: 5004: 5002: 4999: 4997: 4994: 4992: 4989: 4987: 4984: 4982: 4979: 4978: 4976: 4972: 4966: 4963: 4961: 4958: 4956: 4953: 4951: 4948: 4946: 4943: 4942: 4940: 4936: 4930: 4927: 4925: 4922: 4920: 4919:Rainbow table 4917: 4915: 4912: 4910: 4907: 4905: 4902: 4900: 4897: 4896: 4894: 4890: 4884: 4881: 4879: 4876: 4874: 4871: 4869: 4866: 4864: 4861: 4859: 4856: 4854: 4851: 4850: 4848: 4845: 4842:Authenticated 4839: 4833: 4830: 4828: 4825: 4823: 4820: 4818: 4815: 4813: 4810: 4808: 4804: 4801: 4799: 4796: 4794: 4791: 4789: 4786: 4784: 4781: 4779: 4776: 4775: 4773: 4771: 4770:MAC functions 4767: 4760: 4758: 4755: 4754: 4752: 4750: 4744: 4738: 4735: 4733: 4730: 4728: 4725: 4723: 4720: 4718: 4715: 4713: 4710: 4708: 4705: 4703: 4700: 4698: 4695: 4693: 4690: 4688: 4685: 4684: 4682: 4679: 4673: 4667: 4664: 4662: 4659: 4657: 4654: 4652: 4649: 4647: 4644: 4642: 4639: 4637: 4634: 4632: 4629: 4627: 4624: 4622: 4619: 4617: 4614: 4612: 4609: 4607: 4604: 4602: 4599: 4597: 4594: 4592: 4589: 4587: 4584: 4582: 4579: 4577: 4574: 4572: 4569: 4567: 4564: 4562: 4559: 4557: 4554: 4552: 4549: 4547: 4544: 4542: 4539: 4537: 4534: 4532: 4529: 4527: 4524: 4523: 4521: 4517: 4510: 4507: 4505: 4502: 4500: 4497: 4495: 4492: 4490: 4487: 4486: 4484: 4482: 4478: 4472: 4469: 4467: 4464: 4462: 4459: 4457:(compromised) 4456: 4453: 4451:(compromised) 4450: 4447: 4446: 4444: 4440: 4434: 4433:Known attacks 4431: 4429: 4426: 4424: 4421: 4420: 4417: 4413: 4409: 4402: 4397: 4395: 4390: 4388: 4383: 4382: 4379: 4375: 4371: 4365: 4361: 4358: 4357:Christof Paar 4354: 4350: 4345: 4343: 4339: 4334: 4330: 4329: 4324: 4319: 4317: 4314: 4311: 4308: 4306: 4303: 4300: 4296: 4294: 4291: 4288: 4284: 4281: 4280: 4270: 4266: 4255: 4251: 4247: 4243: 4241: 4238: 4235: 4231: 4227: 4223: 4222:Henri Gilbert 4220: 4218:, Crypto 2005 4217: 4213: 4210: 4208:, Crypto 2005 4207: 4203: 4200: 4198: 4194: 4191: 4190: 4177: 4173: 4166: 4158: 4151: 4142: 4128: 4122: 4112: 4102: 4098: 4093: 4092: 4089: 4082: 4081: 4076: 4072: 4071:Stevens, Marc 4066: 4058: 4054: 4047: 4046: 4038: 4030: 4026: 4020: 4007: 4003: 3996: 3988: 3984: 3978: 3970: 3966: 3962: 3956: 3952: 3948: 3941: 3940: 3932: 3925: 3917: 3913: 3907: 3899: 3895: 3889: 3878: 3872: 3863: 3859: 3852: 3841: 3835: 3829: 3824: 3820: 3816: 3812: 3808: 3804: 3797: 3783: 3776: 3769: 3761: 3757: 3751: 3743: 3739: 3733: 3719:on 2009-02-25 3718: 3714: 3708: 3694: 3688: 3674:on 2013-01-15 3673: 3669: 3663: 3655: 3649: 3645: 3641: 3637: 3630: 3622: 3618: 3611: 3603: 3599: 3592: 3586: 3582: 3578: 3575: 3570: 3562: 3558: 3551: 3536: 3530: 3522: 3516: 3511: 3506: 3499: 3498: 3490: 3484: 3480: 3476: 3473: 3468: 3460: 3457: 3453: 3449: 3442: 3428:on 2004-08-21 3427: 3423: 3417: 3406: 3399: 3391: 3385: 3381: 3377: 3373: 3369: 3362: 3348: 3344: 3338: 3331: 3319:. Keccak team 3318: 3314: 3308: 3293: 3286: 3280: 3274: 3270: 3263: 3248: 3244: 3237: 3222: 3221: 3216: 3210: 3196: 3192: 3185: 3171: 3167: 3160: 3152: 3148: 3141: 3133: 3129: 3122: 3114: 3108: 3100: 3094: 3090: 3089: 3081: 3073: 3067: 3053: 3049: 3043: 3034: 3029: 3025: 3018: 3004: 2998: 2984: 2980: 2973: 2965: 2959: 2951: 2947: 2940: 2926:on 2011-06-25 2925: 2921: 2915: 2907: 2900: 2886: 2879: 2877: 2875: 2873: 2871: 2855: 2851: 2845: 2843: 2834: 2827: 2820: 2818: 2816: 2807: 2803: 2797: 2795: 2786: 2782: 2776: 2774: 2765: 2761: 2755: 2753: 2751: 2735: 2731: 2725: 2723: 2708:on 2020-01-07 2704: 2700: 2696: 2689: 2683: 2681: 2670: 2666: 2661: 2660: 2646: 2642: 2640:9783319636870 2636: 2632: 2628: 2624: 2620: 2616: 2609: 2608: 2603: 2599: 2595: 2594:Stevens, Marc 2589: 2587: 2585: 2576: 2572: 2568: 2566:9789461913173 2562: 2558: 2554: 2550: 2543: 2542: 2537: 2536:Stevens, Marc 2531: 2529: 2524: 2515: 2512: 2510: 2507: 2505: 2502: 2500: 2497: 2496: 2490: 2488: 2484: 2470: 2466: 2464: 2461: 2458: 2455: 2454: 2453: 2448: 2445: 2443: 2440: 2438: 2435: 2433: 2430: 2428: 2425: 2423: 2420: 2418: 2415: 2413: 2410: 2408: 2407:Bouncy Castle 2405: 2403: 2400: 2399: 2398: 2383: 2378: 2371: 2367: 2360: 2356: 2351: 2347: 2340: 2336: 2334: 2330: 2327: 2326: 2313: 2304: 2295: 2286: 2269: 2253: 2251: 2247: 2243: 2239: 2236: 2234: 2232: 2226: 2222: 2217: 2212: 2207: 2202: 2197: 2195: 2189: 2184: 2183: 2179: 2176: 2173: 2170: 2167: 2164: 2162: 2159: 2158: 2154: 2151: 2148: 2143: 2140: 2116: 2114: 2111: 2110: 2104: 2099: 2094: 2089: 2084: 2076: 2073: 2070: 2063: 2058: 2056: 2052: 2049: 2047: 2045: 2039: 2035: 2032: 2029: 2024: 2022: 2020: 2014: 2010: 2007: 2004: 1996: 1972: 1970: 1964: 1960: 1957: 1954: 1951: 1946: 1940: 1932: 1929: 1922: 1919: 1916: 1915: 1910: 1906: 1903: 1902: 1895: 1891: 1883: 1875: 1844: 1838: 1833: 1831: 1826: 1824: 1819: 1818: 1812: 1807: 1805: 1795: 1793: 1790: 1775: 1774: 1769: 1765: 1761: 1756: 1751: 1750: 1745: 1741: 1737: 1732: 1727: 1722: 1717: 1712: 1708: 1704: 1700: 1696: 1691: 1686: 1682: 1678: 1674: 1669: 1664: 1660: 1656: 1652: 1647: 1643:c)) 1642: 1638: 1634: 1630: 1625: 1619: 1613: 1608: 1604: 1600: 1596: 1591: 1587:d) 1586: 1582: 1578: 1574: 1569: 1564: 1560: 1556: 1551: 1547: 1543: 1539: 1534: 1512: 1504: 1503: 1502: 1500: 1495: 1486: 1482: 1478: 1474: 1470: 1466: 1462: 1458: 1453: 1447: 1442: 1438: 1434: 1430: 1426: 1422: 1418: 1414: 1410: 1406: 1402: 1398: 1394: 1390: 1386: 1382: 1378: 1374: 1370: 1366: 1362: 1358: 1354: 1350: 1344: 1339: 1338: 1333: 1329: 1325: 1320: 1315: 1311: 1307: 1302: 1297: 1292: 1288: 1284: 1279: 1273: 1268: 1263: 1261: 1254: 1249: 1244: 1239: 1237: 1220: 1216: 1212: 1206: 1205: 1201: 1200: 1199: 1188: 1184: 1180: 1174: 1173: 1165: 1164: 1163: 1153: 1140: 1136: 1132: 1126: 1125: 1117: 1116: 1115: 1113: 1109: 1105: 1090: 1088: 1084: 1081: 1076: 1074: 1070: 1066: 1060: 1050: 1046: 1043: 1038: 1034: 1030: 1020: 1018: 1014: 1010: 1000: 998: 992: 990: 986: 981: 979: 975: 974:cryptanalysis 971: 967: 956: 952: 950: 949: 942: 938: 934: 932: 928: 923: 918: 916: 912: 908: 903: 899: 895: 893: 889: 884: 882: 878: 868: 866: 865:cryptosystems 861: 859: 854: 852: 848: 843: 842: 838: 834: 829: 827: 823: 822:supercomputer 817: 814: 809: 807: 803: 799: 795: 785: 781: 777: 765: 761: 753: 749: 743: 738: 736: 732: 726: 724: 721: 717: 713: 708: 706: 702: 694: 690: 686: 682: 672: 669: 661: 657: 653: 650: 646: 645: 644: 642: 638: 634: 630: 626: 617: 615: 614:block ciphers 612: 607: 605: 601: 596: 594: 589: 584: 582: 578: 574: 570: 566: 562: 558: 554: 548: 533: 531: 530: 524: 520: 516: 512: 508: 504: 500: 496: 491: 489: 485: 481: 477: 473: 469: 457: 453: 450: 445: 440: 437: 432: 427: 424: 421: 418: 398: 394: 384: 381: 378: 376:of the state; 375: 371: 370: 366: 357: 355: 351: 347: 344:, as well as 343: 339: 335: 331: 327: 323: 321: 317: 313: 309: 308:CWI Amsterdam 305: 301: 296: 294: 290: 286: 282: 278: 273: 271: 267: 263: 259: 255: 251: 247: 246:hash function 243: 239: 235: 225: 220: 217: 216:cryptanalysis 212: 208: 206: 202: 199: 196: 192: 188: 186: 182: 178: 176: 172: 169:Cipher detail 167: 163: 159: 156: 154:Certification 152: 149: 145: 141: 137: 133: 128:1993 (SHA-0), 127: 123: 120: 117: 113: 108: 95: 90: 88: 83: 81: 76: 75: 72: 68: 64: 60: 56: 52: 47: 44: 40: 36: 32: 27: 24: 20: 5363:Block cipher 5208:Key schedule 5198:Key exchange 5188:Kleptography 5151:Cryptosystem 5100:Cryptography 4454: 4326: 4258:. Retrieved 4253: 4249: 4212:Xiaoyun Wang 4202:Xiaoyun Wang 4175: 4165: 4150: 4141: 4130:. Retrieved 4121: 4111: 4100: 4079: 4065: 4052: 4044: 4037: 4028: 4019: 4009:, retrieved 4005: 3995: 3987:www.faqs.org 3986: 3977: 3938: 3924: 3915: 3906: 3897: 3888: 3871: 3861: 3851: 3834: 3827: 3806: 3802: 3796: 3785:. Retrieved 3781: 3768: 3760:www.iacr.org 3759: 3750: 3742:heise online 3741: 3732: 3721:. Retrieved 3717:the original 3707: 3696:. Retrieved 3687: 3676:. Retrieved 3672:the original 3662: 3635: 3629: 3620: 3610: 3601: 3591: 3569: 3560: 3550: 3539:. Retrieved 3529: 3496: 3489: 3467: 3441: 3430:. Retrieved 3426:the original 3416: 3398: 3371: 3361: 3350:. Retrieved 3346: 3337: 3328: 3323:20 September 3321:. Retrieved 3316: 3307: 3295:. Retrieved 3285: 3272: 3262: 3250:. Retrieved 3246: 3236: 3226:November 13, 3224:. Retrieved 3218: 3209: 3198:. Retrieved 3194: 3184: 3173:. Retrieved 3169: 3159: 3150: 3140: 3131: 3121: 3112: 3107: 3087: 3080: 3066: 3055:. Retrieved 3051: 3042: 3023: 3017: 3006:. Retrieved 2997: 2986:. Retrieved 2983:Ars Technica 2982: 2972: 2958: 2949: 2939: 2928:. Retrieved 2924:the original 2914: 2899: 2888:. Retrieved 2858:. Retrieved 2856:. 2015-12-18 2853: 2832: 2805: 2784: 2763: 2738:. Retrieved 2733: 2710:. Retrieved 2703:the original 2668: 2654:February 23, 2652:. Retrieved 2645:the original 2606: 2540: 2479: 2451: 2396: 2365: 2358: 2345: 2338: 2332: 2328: 2266:(5 × 5 × 64) 2249: 2245: 2241: 2237: 2228: 2191: 2185: 2160: 2112: 2054: 2050: 2041: 2018: 2016: 1966: 1912: 1803: 1801: 1778: 1771: 1767: 1763: 1759: 1754: 1747: 1743: 1739: 1735: 1730: 1725: 1720: 1715: 1710: 1706: 1702: 1698: 1694: 1689: 1684: 1680: 1676: 1672: 1667: 1665:c)) 1662: 1658: 1654: 1650: 1645: 1640: 1636: 1632: 1628: 1623: 1617: 1611: 1609:d) 1606: 1602: 1598: 1594: 1589: 1584: 1580: 1576: 1572: 1567: 1562: 1558: 1554: 1549: 1545: 1541: 1537: 1528: 1496: 1489: 1484: 1480: 1476: 1472: 1468: 1464: 1460: 1456: 1451: 1445: 1440: 1436: 1432: 1428: 1424: 1420: 1416: 1412: 1408: 1404: 1400: 1396: 1392: 1388: 1384: 1380: 1376: 1372: 1368: 1364: 1360: 1356: 1352: 1348: 1342: 1335: 1331: 1327: 1323: 1318: 1313: 1309: 1305: 1300: 1295: 1282: 1277: 1271: 1266: 1257: 1252: 1247: 1242: 1234: 1197: 1149: 1101: 1077: 1065:CMVP program 1062: 1047: 1037:Davies–Meyer 1026: 1012: 1006: 993: 982: 977: 970:demonstrated 969: 965: 962: 953: 947: 943: 939: 935: 919: 907:Xiaoyun Wang 904: 900: 896: 888:Xiaoyun Wang 885: 874: 862: 855: 847:Xiaoyun Wang 844: 840: 830: 818: 810: 802:Antoine Joux 791: 779: 775: 763: 759: 751: 747: 739: 727: 719: 709: 692: 688: 680: 678: 665: 648: 623: 608: 597: 585: 550: 541:Cryptography 536:Applications 526: 518: 510: 498: 492: 465: 448: 443: 435: 430: 422: 416: 379: 338:Windows 2000 324: 297: 274: 241: 237: 234:cryptography 231: 214:Best public 175:Digest sizes 130:1995 (SHA-1) 58: 5351:Mathematics 5342:Mix network 5032:Merkle tree 5020:Utilization 5006:NSA Suite B 4321:‹ The 4285:– Official 3866:(withdrawn) 2854:VentureBeat 2463:VIA PadLock 2348:(arbitrary) 2341:(arbitrary) 2193:SHA-512/256 2187:SHA-512/224 1869:Operations 1856:state size 1849:Output size 1687:c)) 1490:The number 1367:0 ≤ i ≤ 19 1363:79 915:Frances Yao 737:collision. 703:. Thus the 360:Development 354:Server 2003 300:web browser 262:hexadecimal 185:Block sizes 164:(Monitored) 160:PUB 180-4, 5450:Categories 5302:Ciphertext 5272:Decryption 5267:Encryption 5228:Ransomware 4844:encryption 4621:RadioGatún 4428:Comparison 4260:2007-04-26 4186:References 4132:2016-01-27 4011:2010-04-02 3787:2011-05-19 3723:2009-06-30 3698:2010-07-24 3678:2009-06-30 3541:2022-03-16 3432:2004-08-23 3352:2023-08-27 3200:2023-08-27 3195:CSRC, NIST 3175:2023-08-27 3170:CSRC, NIST 3057:2024-02-28 3008:2017-02-23 2988:2019-05-29 2930:2019-01-05 2890:2015-10-09 2860:2019-05-29 2740:2019-05-29 2712:2019-09-23 2557:1887/19093 2135:Rot, Shr, 2079:Rot, Shr, 1861:Block size 1773:leftrotate 1749:leftrotate 1441:leftrotate 1437:leftrotate 1349:Main loop: 1337:leftrotate 1291:big-endian 1260:big endian 1236:Pseudocode 1217:binary to 1213:Outputted 1185:binary to 1181:Outputted 1137:binary to 1133:Outputted 1110:binary to 911:Andrew Yao 806:collisions 298:All major 142:), SHA-1, 5292:Plaintext 4761:KDF1/KDF2 4680:functions 4666:Whirlpool 4297:RFC  4193:Eli Biham 3969:153311244 3452:sci.crypt 3448:Newsgroup 3297:March 29, 3247:marc.info 2575:795702954 2422:Libgcrypt 2219:≈ SHA-384 2214:≈ SHA-384 1854:Internal 1481:leftshift 1473:leftshift 1465:leftshift 1457:leftshift 1455:hh = (h0 1287:congruent 1013:SHAttered 976:of SHA-1 922:ASIACRYPT 826:Itanium 2 824:with 256 811:In 2004, 693:collision 660:BitKeeper 633:Mercurial 395:⋘ 326:Microsoft 194:Structure 115:Designers 5431:Category 5337:Kademlia 5297:Codetext 5240:(CSPRNG) 4986:CRYPTREC 4817:Poly1305 4737:yescrypt 4651:Streebog 4531:CubeHash 4511:(winner) 4360:Archived 4323:template 4197:IACR.org 4116:proceed. 3823:47179704 3577:Archived 3475:Archived 3145:fgrieu. 2623:Springer 2493:See also 2437:LibreSSL 2427:Mbed TLS 2417:Crypto++ 2412:cryptlib 2368:/2, 256) 2361:/2, 128) 2333:SHAKE256 2329:SHAKE128 2250:SHA3-512 2246:SHA3-384 2242:SHA3-256 2238:SHA3-224 2123:(8 × 64) 2067:(8 × 32) 1981:(5 × 32) 1926:(4 × 32) 1907:8 bytes 1892:(median 1517:through 1203:SHA1("") 1083:Archived 705:strength 637:Monotone 602:was the 529:§Attacks 189:512 bits 179:160 bits 162:CRYPTREC 29:Concepts 5107:General 4892:Attacks 4822:SipHash 4778:CBC-MAC 4712:LM hash 4692:Balloon 4556:HAS-160 4353:YouTube 4325:below ( 3456:Usenet: 3450::  3220:YouTube 2442:OpenSSL 2386:155.50 2161:SHA-512 2113:SHA-384 2055:SHA-256 2051:SHA-224 2025:< 63 2008:≈ SHA-1 2005:≈ SHA-1 1997:< 34 1890:Skylake 1885:(bits) 1877:(bits) 1866:Rounds 1863:(bits) 1858:(bits) 1851:(bits) 1758:w = (w 1734:w = (w 1621:  1425:else if 1401:else if 1389:else if 1371:f = (b 1322:w = (w 871:Attacks 780:message 776:message 764:message 748:message 697:1.2 × 2 419:places; 413:⁠ 386:⁠ 334:Windows 244:) is a 110:General 5218:Keygen 5052:Pepper 4991:NESSIE 4938:Design 4732:scrypt 4727:PBKDF2 4702:Catena 4697:bcrypt 4687:Argon2 4646:Snefru 4641:Shabal 4636:SWIFFT 4616:RIPEMD 4611:N-hash 4586:MASH-2 4581:MASH-1 4566:Kupyna 4526:BLAKE3 4509:Keccak 4494:Grøstl 4471:BLAKE2 4342:Curlie 4328:Curlie 3967:  3957:  3821:  3650:  3517:  3458:  3386:  3252:30 May 3095:  2637:  2617:2017. 2615:CRYPTO 2573:  2563:  2483:GitHub 2447:GnuTLS 2432:Nettle 2384:155.25 2320:164.00 2318:164.00 2316:155.50 2314:154.25 2177:135.50 2152:135.75 1340:1 1215:Base64 1183:Base64 1135:Base64 1108:Base64 985:Nvidia 841:et al. 794:CRYPTO 635:, and 611:SHACAL 571:, and 569:S/MIME 340:up to 312:Google 205:Rounds 135:Series 5248:(PRN) 4846:modes 4722:Makwa 4717:Lyra2 4707:crypt 4656:Tiger 4606:MDC-2 4561:HAVAL 4546:Fugue 4504:Skein 4489:BLAKE 4466:SHA-3 4461:SHA-2 4455:SHA-1 4338:SHA-1 4084:(PDF) 4049:(PDF) 3965:S2CID 3943:(PDF) 3934:(PDF) 3880:(PDF) 3843:(PDF) 3819:S2CID 3778:(PDF) 3602:ZDNet 3501:(PDF) 3408:(PDF) 2829:(PDF) 2706:(PDF) 2691:(PDF) 2648:(PDF) 2611:(PDF) 2545:(PDF) 2520:Notes 2402:Botan 2323:2015 2311:15.88 2309:11.06 2231:SHA-3 2223:2012 2180:2001 2155:2001 2107:2001 2102:85.25 2100:84.50 2044:SHA-2 2036:1995 2033:52.00 2019:SHA-1 2011:1993 1969:SHA-0 1961:1992 1958:55.00 1459:128) 1219:ASCII 1187:ASCII 1139:ASCII 1112:ASCII 927:BOINC 813:Biham 788:SHA-0 593:SHA-2 573:IPsec 519:SHA-1 511:SHA-0 374:words 342:Vista 289:SHA-3 285:SHA-2 238:SHA-1 148:SHA-3 144:SHA-2 140:SHA-0 105:SHA-1 67:SHA-3 63:SHA-2 59:SHA-1 55:SHA-0 5047:Salt 5011:CNSA 4878:IAPM 4832:VMAC 4827:UMAC 4812:PMAC 4807:CMAC 4803:OMAC 4798:NMAC 4793:HMAC 4788:GMAC 4757:HKDF 4626:SIMD 4576:Lane 4551:GOST 4536:ECOH 4423:List 4410:and 4299:3174 4287:NIST 4057:IACR 3955:ISBN 3648:ISBN 3515:ISBN 3384:ISBN 3330:key. 3325:2015 3299:2009 3254:2016 3228:2013 3093:ISBN 2656:2017 2635:ISBN 2571:OCLC 2561:ISBN 2467:IBM 2381:8.59 2379:7.08 2364:min( 2357:min( 2354:1088 2352:1344 2307:8.59 2305:8.12 2302:1024 2272:1088 2270:1152 2263:1600 2174:5.06 2149:5.12 2127:1024 2105:2004 2097:7.63 2095:7.62 2085:112 2030:3.47 1955:4.99 1947:≤ 18 1836:edit 1829:talk 1822:view 1713:d) 1542:and 1483:32) 1479:(h3 1475:64) 1471:(h2 1467:96) 1463:(h1 1369:then 1357:from 1314:from 1283:bits 1171:og") 1123:og") 913:and 879:and 833:Wang 800:and 758:SHA( 746:SHA( 555:and 527:see 507:NIST 503:FIPS 486:and 320:HMAC 310:and 277:NIST 254:byte 252:(20- 158:FIPS 4883:OCB 4873:GCM 4868:EAX 4863:CWC 4853:CCM 4783:DAA 4661:VSH 4631:SM3 4601:MD6 4596:MD4 4591:MD2 4571:LSH 4541:FSB 4449:MD5 4355:by 4351:on 4340:at 3947:doi 3811:doi 3640:doi 3505:doi 3376:doi 3028:doi 2695:doi 2627:doi 2553:hdl 2487:git 2375:512 2373:256 2300:768 2298:512 2296:448 2293:256 2291:192 2289:128 2287:112 2276:576 2274:832 2260:512 2258:384 2256:256 2254:224 2210:256 2208:288 2205:128 2203:112 2200:256 2198:224 2168:256 2165:512 2145:128 2141:192 2120:512 2117:384 2090:32 2087:128 2071:512 2064:256 2061:256 2059:224 1985:512 1978:160 1975:160 1930:512 1923:128 1920:128 1914:MD5 1894:cpb 1792:SSE 1789:x86 1783:on 1770:w) 1768:xor 1764:xor 1760:xor 1746:w) 1744:xor 1740:xor 1736:xor 1721:xor 1711:and 1709:(c 1707:xor 1705:d) 1703:and 1701:(b 1699:xor 1697:c) 1695:and 1685:xor 1683:(b 1681:and 1679:(d 1677:xor 1675:c) 1673:and 1663:xor 1661:(b 1659:and 1657:(d 1653:c) 1651:and 1639:(b 1637:and 1635:(d 1631:c) 1629:and 1607:and 1605:b) 1603:not 1599:xor 1597:c) 1595:and 1585:and 1583:b) 1581:not 1575:c) 1573:and 1563:xor 1561:(c 1559:and 1557:(b 1555:xor 1487:h4 1433:xor 1429:xor 1421:and 1419:(c 1415:d) 1413:and 1411:(b 1407:c) 1405:and 1397:xor 1393:xor 1385:and 1383:b) 1381:not 1375:c) 1373:and 1353:for 1334:w) 1332:xor 1328:xor 1324:xor 1310:for 1301:for 1285:is 1160:cog 1158:to 1156:dog 1089:). 1042:MD5 1031:in 989:EC2 966:not 837:MD5 792:At 770:SHA 762:|| 760:key 756:or 752:key 750:|| 735:MD5 731:SSL 720:See 629:Git 581:MD4 577:MD5 565:SSH 561:PGP 557:SSL 553:TLS 532:). 515:NSA 488:MD5 484:MD4 480:MD2 476:MIT 474:of 352:to 287:or 250:bit 232:In 43:DSA 39:SHA 5452:: 4499:JH 4254:59 4252:. 4248:. 4232:. 4228:: 4224:, 4174:. 4099:. 4073:; 4051:. 4027:. 4004:, 3985:. 3963:. 3953:. 3914:. 3896:. 3860:. 3817:. 3807:59 3805:. 3780:. 3758:. 3740:. 3646:. 3619:. 3600:. 3583:, 3559:. 3513:. 3481:, 3382:. 3345:. 3327:. 3315:. 3271:. 3245:. 3217:. 3193:. 3168:. 3149:. 3130:. 3050:. 2981:. 2948:. 2869:^ 2852:. 2841:^ 2831:. 2814:^ 2804:. 2793:^ 2783:. 2772:^ 2762:. 2749:^ 2732:. 2721:^ 2679:^ 2667:. 2633:. 2596:; 2583:^ 2569:. 2559:. 2551:. 2527:^ 2280:24 2130:80 2074:64 1988:80 1933:4 1896:) 1776:2 1766:w 1762:w 1752:1 1742:w 1738:w 1655:or 1641:or 1633:or 1601:(( 1579:(( 1577:or 1523:h4 1519:h3 1515:h0 1501:: 1492:hh 1485:or 1477:or 1469:or 1461:or 1431:c 1417:or 1409:or 1395:c 1379:(( 1377:or 1365:if 1361:to 1359:0 1355:i 1330:w 1326:w 1312:i 991:. 980:. 909:, 849:, 782:)) 725:. 718:. 649:if 631:, 616:. 583:. 567:, 563:, 559:, 501:, 482:, 356:. 322:. 295:. 236:, 209:80 146:, 65:, 61:, 57:, 41:, 37:, 5092:e 5085:t 5078:v 4805:/ 4400:e 4393:t 4386:v 4263:. 4178:. 4159:. 4135:. 4103:. 4090:. 4059:. 4031:. 3989:. 3971:. 3949:: 3918:. 3900:. 3882:. 3864:. 3845:. 3825:. 3813:: 3790:. 3762:. 3726:. 3701:. 3681:. 3656:. 3642:: 3623:. 3604:. 3563:. 3544:. 3523:. 3507:: 3461:. 3435:. 3410:. 3378:: 3355:. 3301:. 3275:. 3256:. 3230:. 3203:. 3178:. 3153:. 3134:. 3101:. 3074:. 3060:. 3036:. 3030:: 3011:. 2991:. 2952:. 2933:. 2908:. 2893:. 2863:. 2835:. 2808:. 2766:. 2743:. 2715:. 2697:: 2671:. 2658:. 2629:: 2577:. 2555:: 2366:d 2359:d 2346:d 2339:d 2171:0 2092:0 2002:0 1952:0 1785:w 1781:w 1550:. 1548:b 1544:d 1540:c 1531:f 1507:k 1262:. 1169:c 1121:d 948:O 774:( 772:d 766:) 754:) 689:L 681:L 451:; 449:t 444:t 441:K 438:; 436:t 431:t 428:W 423:n 417:n 399:n 380:F 240:( 226:. 138:( 93:e 86:t 79:v

Index

Secure Hash Algorithms
hash functions
SHA
DSA
SHA-0
SHA-1
SHA-2
SHA-3
v
t
e
National Security Agency
SHA-0
SHA-2
SHA-3
FIPS
CRYPTREC
Digest sizes
Block sizes
Merkle–Damgård construction
Rounds
cryptanalysis
length extension attacks
cryptography
hash function
bit
byte
message digest
hexadecimal
National Security Agency

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