Knowledge (XXG)

MD5

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0xe9b6c7aa } K := { 0xd62f105d, 0x02441453, 0xd8a1e681, 0xe7d3fbc8 } K := { 0x21e1cde6, 0xc33707d6, 0xf4d50d87, 0x455a14ed } K := { 0xa9e3e905, 0xfcefa3f8, 0x676f02d9, 0x8d2a4c8a } K := { 0xfffa3942, 0x8771f681, 0x6d9d6122, 0xfde5380c } K := { 0xa4beea44, 0x4bdecfa9, 0xf6bb4b60, 0xbebfbc70 } K := { 0x289b7ec6, 0xeaa127fa, 0xd4ef3085, 0x04881d05 } K := { 0xd9d4d039, 0xe6db99e5, 0x1fa27cf8, 0xc4ac5665 } K := { 0xf4292244, 0x432aff97, 0xab9423a7, 0xfc93a039 } K := { 0x655b59c3, 0x8f0ccc92, 0xffeff47d, 0x85845dd1 } K := { 0x6fa87e4f, 0xfe2ce6e0, 0xa3014314, 0x4e0811a1 } K := { 0xf7537e82, 0xbd3af235, 0x2ad7d2bb, 0xeb86d391 }
655: 4590: 517:, David Molnar, Dag Arne Osvik, and Benne de Weger). Bruce Schneier wrote of the attack that "we already knew that MD5 is a broken hash function" and that "no one should be using MD5 anymore". The SSL researchers wrote, "Our desired impact is that Certification Authorities will stop using MD5 in issuing new certificates. We also hope that use of MD5 in other applications will be reconsidered as well." 694: 1081: 539:: an attacker can create two colliding files that both begin with the same content. All the attacker needs to generate two colliding files is a template file with a 128-byte block of data, aligned on a 64-byte boundary, that can be changed freely by the collision-finding algorithm. An example MD5 collision, with the two messages differing in 6 bits, is: 501:, the issuers of RapidSSL certificates, said they stopped issuing new certificates using MD5 as their checksum algorithm for RapidSSL once the vulnerability was announced. Although Verisign declined to revoke existing certificates signed using MD5, their response was considered adequate by the authors of the exploit ( 1180:
s := { 7, 12, 17, 22, 7, 12, 17, 22, 7, 12, 17, 22, 7, 12, 17, 22 } s := { 5, 9, 14, 20, 5, 9, 14, 20, 5, 9, 14, 20, 5, 9, 14, 20 } s := { 4, 11, 16, 23, 4, 11, 16, 23, 4, 11, 16, 23, 4, 11, 16, 23 } s := { 6, 10, 15, 21, 6, 10, 15, 21, 6, 10, 15, 21, 6, 10, 15, 21
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As it is easy to generate MD5 collisions, it is possible for the person who created the file to create a second file with the same checksum, so this technique cannot protect against some forms of malicious tampering. In some cases, the checksum cannot be trusted (for example, if it was obtained over
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so that its length is divisible by 512. The padding works as follows: first, a single bit, 1, is appended to the end of the message. This is followed by as many zeros as are required to bring the length of the message up to 64 bits fewer than a multiple of 512. The remaining bits are filled up with
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Instead of the formulation from the original RFC 1321 shown, the following may be used for improved efficiency (useful if assembly language is being used – otherwise, the compiler will generally optimize the above code. Since each computation is dependent on another in these formulations, this is
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K := { 0xd76aa478, 0xe8c7b756, 0x242070db, 0xc1bdceee } K := { 0xf57c0faf, 0x4787c62a, 0xa8304613, 0xfd469501 } K := { 0x698098d8, 0x8b44f7af, 0xffff5bb1, 0x895cd7be } K := { 0x6b901122, 0xfd987193, 0xa679438e, 0x49b40821 } K := { 0xf61e2562, 0xc040b340, 0x265e5a51,
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On 24 December 2010, Tao Xie and Dengguo Feng announced the first published single-block (512-bit) MD5 collision. (Previous collision discoveries had relied on multi-block attacks.) For "security reasons", Xie and Feng did not disclose the new attack method. They issued a challenge to the
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described an improved algorithm, able to construct MD5 collisions in a few hours on a single notebook computer. On 18 March 2006, Klima published an algorithm that could find a collision within one minute on a single notebook computer, using a method he calls tunneling.
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has been flipped. For example, the 20th byte (offset 0x13) in the top sample, 0x87, is 10000111 in binary. The leading bit in the byte (also the leading bit in the first nibble) is flipped to make 00000111, which is 0x07, as shown in the lower sample.
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Later it was also found to be possible to construct collisions between two files with separately chosen prefixes. This technique was used in the creation of the rogue CA certificate in 2008. A new variant of parallelized collision searching using
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In 1996, Dobbertin announced a collision of the compression function of MD5 (Dobbertin, 1996). While this was not an attack on the full MD5 hash function, it was close enough for cryptographers to recommend switching to a replacement, such as
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technical newsletter, "The presented attack does not yet threaten practical applications of MD5, but it comes rather close ... in the future MD5 should no longer be implemented ... where a collision-resistant hash function is required."
1290:// Notice: the two padding steps above are implemented in a simpler way // in implementations that only work with complete bytes: append 0x80 // and pad with 0x00 bytes so that the message length in bytes ≡ 56 (mod 64). 1076:{\displaystyle {\begin{aligned}F(B,C,D)&=(B\wedge {C})\vee (\neg {B}\wedge {D})\\G(B,C,D)&=(B\wedge {D})\vee (C\wedge \neg {D})\\H(B,C,D)&=B\oplus C\oplus D\\I(B,C,D)&=C\oplus (B\vee \neg {D})\end{aligned}}} 355:
that can produce a collision for two inputs with specified prefixes within seconds, using off-the-shelf computing hardware (complexity 2). The ability to find collisions has been greatly aided by the use of off-the-shelf
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the same channel as the downloaded file), in which case MD5 can only provide error-checking functionality: it will recognize a corrupt or incomplete download, which becomes more likely when downloading larger files.
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for the files, so that a user can compare the checksum of the downloaded file to it. Most unix-based operating systems include MD5 sum utilities in their distribution packages; Windows users may use the included
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function "Get-FileHash", the included command line function "certutil -hashfile <filename> md5", install a Microsoft utility, or use third-party applications. Android ROMs also use this type of checksum.
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certificates with different public keys and the same MD5 hash value, a demonstrably practical collision. The construction included private keys for both public keys. A few days later,
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MD5 processes a variable-length message into a fixed-length output of 128 bits. The input message is broken up into chunks of 512-bit blocks (sixteen 32-bit words); the message is
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how they had used MD5 collisions to create an intermediate certificate authority certificate that appeared to be legitimate when checked by its MD5 hash. The researchers used a
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concluded that MD5 was essentially "cryptographically broken and unsuitable for further use". The weaknesses of MD5 have been exploited in the field, most infamously by the
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In 1996, a flaw was found in the design of MD5. While it was not deemed a fatal weakness at the time, cryptographers began recommending the use of other algorithms, such as
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numbering system that has been used for decades during the exchange of paper documents. As above, this usage should be discouraged due to the ease of collision attacks.
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certificates with the same hash. Later that year, MD5's designer Ron Rivest wrote that "md5 and sha1 are both clearly broken (in terms of collision-resistance)".
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world to provide some assurance that a transferred file has arrived intact. For example, file servers often provide a pre-computed MD5 (known as
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message< // Notice: the input bytes are considered as bit strings, // where the first bit is the most significant bit of the byte.
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that rely on this property for digital security. Researchers additionally discovered more serious flaws in MD5, and described a feasible
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These hash and collision attacks have been demonstrated in the public in various situations, including colliding document files and
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Sotirov, Alexander; Marc Stevens; Jacob Appelbaum; Arjen Lenstra; David Molnar; Dag Arne Osvik; Benne de Weger (30 December 2008).
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for that issuer, which could then be used to create other certificates that would appear to be legitimate and issued by RapidSSL.
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in 2012. As of 2019, MD5 continues to be widely used, despite its well-documented weaknesses and deprecation by security experts.
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cryptographic community, offering a US$ 10,000 reward to the first finder of a different 64-byte collision before 1 January 2013.
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to find two distinct messages that hash to the same value. MD5 fails this requirement catastrophically. On 31 December 2008, the
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considers MD5 "cryptographically broken and unsuitable for further use", and most U.S. government applications now require the
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The MD5 algorithm is specified for messages consisting of any number of bits; it is not limited to multiples of eight bits (
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responded to the challenge and published colliding single-block messages as well as the construction algorithm and sources.
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Even a small change in the message will (with overwhelming probability) result in a mostly different hash, due to the
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started in March 2004 to demonstrate that MD5 is practically insecure by finding a collision using a birthday attack.
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The presented attack does not yet threaten practical applications of MD5, but it comes rather close. .... [
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Ming Mao and Shaohui Chen and Jin Xu (2009). "Construction of the Initial Structure for Preimage Attack of MD5".
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within seconds on a computer with a 2.6 GHz Pentium 4 processor (complexity of 2). Further, there is also a
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was proposed by Anton Kuznetsov in 2014, which allowed finding a collision in 11 hours on a computing cluster.
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Figure 1. One MD5 operation. MD5 consists of 64 of these operations, grouped in four rounds of 16 operations.
2136: 2075: 2050: 2014: 4545: 4535: 4338: 4298: 4291: 4281: 4276: 4091: 3911: 2668:, Cryptology ePrint Archive Report 2004/199, 16 August 2004, revised 17 August 2004. Retrieved 27 July 2008. 137: 4286: 4199: 3585: 2082:, Cryptology ePrint Archive Report 2006/105, 18 March 2006, revised 17 April 2006. Retrieved 27 July 2008. 765: 398: 320:
In 2011 an informational RFC 6151 was approved to update the security considerations in MD5 and HMAC-MD5.
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Yu Sasaki; Kazumaro Aoki (16 April 2009). "Finding Preimages in Full MD5 Faster Than Exhaustive Search".
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Designing Data-Intensive Applications: The Big Ideas Behind Reliable, Scalable, and Maintainable Systems
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Vulnerability of software integrity and code signing applications to chosen-prefix collisions for MD5
2415: 1786: 678: 348: 302: 182: 133: 114: 2482: 4318: 4209: 4086: 4035: 3974: 3793: 3753: 3733: 2552: 2508: 2186:"RFC 6151 – Updated Security Considerations for the MD5 Message-Digest and the HMAC-MD5 Algorithms" 1132: 1128: 622: 391: 364: 4424: 4408: 4355: 4143: 4127: 4076: 3661: 3149: 64: 2036: 1856: 3030: 743: 4484: 4474: 4345: 4020: 3472: 3408: 3389: 3139: 3102: 1885: 1860: 1625: 502: 490: 433: 402: 3054:"An algorithm for MD5 single-block collision attack using high performance computing cluster" 4419: 4107: 4061: 3823: 3423: 3131: 3094: 2273: 2232: 2193: 1776: 1762: 1600: 772:
The main MD5 algorithm operates on a 128-bit state, divided into four 32-bit words, denoted
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Bert den Boer; Antoon Bosselaers (1993). "Collisions for the Compression Function of MD5".
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in 2 time. This attack runs in less than a second on a regular computer. MD5 is prone to
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Berson, Thomas A. (1992). "Differential Cryptanalysis Mod 2 with Applications to MD5".
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In 1993, Den Boer and Bosselaers gave an early, although limited, result of finding a "
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used an MD5 hash value of their mission statement as a part of their official emblem.
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a0 := a0 + A b0 := b0 + B c0 := c0 + C d0 := d0 + D
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Hans Dobbertin, Cryptanalysis of MD5 compress. Announcement on Internet, May 1996.
2678: 2467: 2000: 286: 267: 2759: 2498:"A Note on the Practical Value of Single Hash Collisions for Special File Formats" 274:, and Hongbo Yu. Their analytical attack was reported to take only one hour on an 2339:"A quarter of major CMSs use outdated MD5 as the default password hashing scheme" 792:; each round is composed of 16 similar operations based on a non-linear function 213:
was likely to be insecure, Rivest designed MD5 in 1991 as a secure replacement. (
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One basic requirement of any cryptographic hash function is that it should be
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often slower than the above method where the nand/and can be parallelised):
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malware used an MD5 collision to forge a Windows code-signing certificate.
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A := D D := C C := B B := B +
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The MD5 hash is calculated according to this algorithm. All values are in
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2009 International Conference on Computational Intelligence and Security
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Use binary integer part of the sines of integers (Radians) as constants:
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In 1996, collisions were found in the compression function of MD5, and
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The size of the hash value (128 bits) is small enough to contemplate a
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against unintentional corruption. Historically it was widely used as a
3250:"How to compute the MD5 or SHA-1 cryptographic hash values for a file" 3053: 2265: 2224: 2185: 409:—a method to create a pair of inputs for which MD5 produces identical 4380: 4153: 3894: 3889: 3859: 3849: 3808: 3803: 3798: 3778: 3773: 3748: 3743: 3728: 3688: 3519: 2665: 2277: 2237: 2197: 1781: 1724: 1633: 638: 621:
In April 2009, an attack against MD5 was published that breaks MD5's
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64 bits representing the length of the original message, modulo 2.
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On 30 December 2008, a group of researchers announced at the 25th
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A 2013 attack by Xie Tao, Fanbao Liu, and Dengguo Feng breaks MD5
2938:"Researchers Use PlayStation Cluster to Forge a Web Skeleton Key" 2577:"Poisonous MD5 – Wolves Among the Sheep | Silent Signal Techblog" 3994: 3989: 3960: 3955: 3919: 2496:
Max Gebhardt; Georg Illies; Werner Schindler (31 October 2005).
2159:"Marc Stevens – Research – Single-block collision attack on MD5" 1629: 4235: 3543: 2130:"Construct MD5 Collisions Using Just A Single Block Of Message" 3763: 3758: 2843: 2837: 2264:
Krawczyk, Hugo; Bellare, Mihir; Canetti, Ran (February 1997).
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is a nonlinear function; one function is used in each round.
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Historically, MD5 has been used to store a one-way hash of a
3276:"FreeBSD Handbook, Security – DES, Blowfish, MD5, and Crypt" 2847:] where a collision-resistant hash function is required. 2403:
Marc Stevens; Arjen Lenstra; Benne de Weger (16 June 2009).
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Below is a list of cryptography libraries that support MD5:
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malware exploited the weaknesses in MD5 to fake a Microsoft
2266:"RFC 2104 – HMAC: Keyed-Hashing for Message Authentication" 1603:. For example, adding a period to the end of the sentence: 489:, Switzerland to change a normal SSL certificate issued by 2637:
Advances in Cryptology – Lecture Notes in Computer Science
3407:. EUROCRYPT. Berlin; London: Springer. pp. 293–304. 2073:
Tunnels in Hash Functions: MD5 Collisions Within a Minute
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denotes a 32-bit constant, different for each operation.
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RFC 1321, section 2, "Terminology and Notation", Page 2.
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Diagram showing use of MD5 hashing in file transmission
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Cryptographically secure pseudorandom number generator
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might be limited to octets, or they might not support
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487da03fd 02396306d248cda0 e99f33420f577ee8 ce54b67080
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712467eab 4004583eb8fb7f89 55ad340609f4b302 83e4888325
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487da03fd 02396306d248cda0 e99f33420f577ee8 ce54b67080
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712467eab 4004583eb8fb7f89 55ad340609f4b302 83e4888325
289:, and Benne de Weger demonstrated construction of two 3089:. Lecture Notes in Computer Science. Vol. 5479. 1909:
A Study of the MD5 Attacks: Insights and Improvements
1091: 805: 746: 394:. As such, MD5 is not suitable for applications like 3531: 2041:"Finding MD5 Collisions – a Toy For a Notebook" 1324:
break chunk into sixteen 32-bit words M, 0 ≤ j ≤ 15
4513: 4269: 4182: 4136: 4100: 4054: 4003: 3931: 3908: 3837: 3681: 3642: 3604: 2405:"Chosen-prefix Collisions for MD5 and Applications" 123: 113: 103: 93: 83: 78: 60: 52: 42: 37: 1848: 1640:for messages of an initially undetermined length. 1115: 1075: 752: 581:280373c5b d8823e3156348f5b ae6dacd436c919c6 dd53e2 554:280373c5b d8823e3156348f5b ae6dacd436c919c6 dd53e2 462:In 2005, researchers were able to create pairs of 2093:"Code Cracked! Cyber Command Logo Mystery Solved" 1307:Process the message in successive 512-bit chunks: 712:denotes a 32-bit block of the message input, and 1903: 1901: 1581:) are typically represented as a sequence of 32 262:MD5CRK ended shortly after 17 August 2004, when 2472:"Hash Collisions (The Poisoned Message Attack)" 3302:"Synopsis – man pages section 4: File Formats" 2664:Xiaoyun Wang, Dengguo ,k.,m.,m, HAVAL-128 and 2505:National Institute of Standards and Technology 2332: 2330: 1577:The 128-bit (16-byte) MD5 hashes (also termed 1210:(Or just use the following precomputed table): 4247: 3555: 2677:Marc Stevens, Arjen Lenstra, Benne de Weger: 2529: 2527: 2525: 2523: 2521: 2225:"RFC 1321 – The MD5 Message-Digest Algorithm" 1585:digits. The following demonstrates a 43-byte 8: 1621:MD5("") = d41d8cd98f00b204e9800998ecf8427e 162:in 1991 to replace an earlier hash function 32: 3462:"How to Break MD5 and Other Hash Functions" 2969:"This morning's MD5 attack — resolved" 2860:"Schneier on Security: More MD5 Collisions" 2688:, 30 November 2007. Retrieved 27 July 2008. 2630:"How to Break MD5 and Other Hash Functions" 1884:(1 ed.). O'Reilly Media. p. 203. 1763:"Step 4. Process Message in 16-Word Blocks" 1608:The quick brown fox jumps over the lazy dog 1594:The quick brown fox jumps over the lazy dog 1486:Be wary of the below definitions of a,b,c,d 1116:{\displaystyle \oplus ,\wedge ,\vee ,\neg } 4254: 4240: 4232: 3562: 3548: 3540: 3536: 3532: 2785:"Flame malware collision attack explained" 1934:"Musings on the Wang et al. MD5 Collision" 1810:Xie Tao; Fanbao Liu; Dengguo Feng (2013). 1700:Comparison of cryptographic hash functions 217:did indeed later find weaknesses in MD4.) 3445:"The Status of MD5 After a Recent Attack" 2812:"The Status of MD5 After a Recent Attack" 2604:"The Status of MD5 After a Recent Attack" 2236: 1780: 1090: 1061: 950: 927: 875: 867: 850: 806: 804: 745: 633:MD5 digests have been widely used in the 166:, and was specified in 1992 as RFC 1321. 2412:École Polytechnique Fédérale de Lausanne 569:d131dd02c5e6eec4 693d9a0698aff95c 2fcab5 542:d131dd02c5e6eec4 693d9a0698aff95c 2fcab5 428:family of hash functions. In 2012, the 3168:"Finding Checksum Values in Windows 10" 3087:Advances in Cryptology - EUROCRYPT 2009 1967:"Fast MD5 and MD4 Collision Generators" 1918:, 3 March 2006. Retrieved 27 July 2008. 1750: 1618:The hash of the zero-length string is: 1615:") = e4d909c290d0fb1ca068ffaddf22cbd0 1507:Add this chunk's hash to result so far: 1288:message length in bits ≡ 448 (mod 512) 1177:s specifies the per-round shift amounts 370:As of 2019, one quarter of widely used 3405:Advances in Cryptology – EUROCRYPT '93 3252:. Microsoft Support. 23 January 2007. 2779: 2777: 2303:Chad R, Dougherty (31 December 2008). 1596:") = 9e107d9d372bb6826bd81d3542a419d6 1589:input and the corresponding MD5 hash: 31: 3282:from the original on 18 February 2017 3230:from the original on 15 February 2015 3204:from the original on 23 November 2023 2914:. Mail.python.org. 16 December 2005. 2109:from the original on 17 February 2014 1328:Initialize hash value for this chunk: 1264:Pre-processing: adding a single 1 bit 1203:K := floor(2 × abs(sin(i + 1))) 7: 3174:from the original on 11 January 2024 3130:Computer Society. pp. 442–445. 3002:from the original on 9 November 2020 2698:Stray, Jonathan (30 December 2008). 2349:from the original on 24 January 2021 1828:from the original on 2 February 2021 1632:). Some MD5 implementations such as 3304:. Docs.oracle.com. 1 January 2013. 3226:. Microsoft Support. 17 June 2013. 2994:Bruce Schneier (31 December 2008). 2730:"CERT Vulnerability Note VU#836068" 1907:J. Black, M. Cochran, T. Highland: 1434:C) g := (5×i + 1) 1410:D) g := i 374:were reported to still use MD5 for 305:have been published. In 2009, the 266:for the full MD5 were announced by 2948:from the original on 21 April 2009 2866:from the original on 11 April 2021 2736:from the original on 21 March 2017 2542:from the original on 25 March 2017 2284:from the original on 15 April 2021 2003:; Weger, Benne de (1 March 2005). 1880:Kleppmann, Martin (2 April 2017). 1454:D g := (3×i + 5) 1278:Pre-processing: padding with zeros 1110: 1058: 947: 864: 422:CMU Software Engineering Institute 334:CMU Software Engineering Institute 232:that produce an identical digest. 25: 3430:from the original on 24 June 2008 3353:from the original on 21 June 2021 3308:from the original on 4 March 2016 3256:from the original on 9 March 2015 2583:from the original on 10 June 2015 2315:from the original on 26 July 2011 2245:from the original on 9 April 2021 2204:from the original on 15 June 2017 1928:Hawkes, Philip; Paddon, Michael; 1775:. p. 5. sec. 3.4. 677:MD5 is also used in the field of 201:algorithms designed by Professor 4589: 4588: 3460:Xiaoyun Wang; Hongbo Yu (2005). 3066:from the original on 4 June 2016 3021:Eric Rescorla (17 August 2004). 2967:Callan, Tim (31 December 2008). 2892:from the original on 15 May 2017 2639:. pp. 19–35. Archived from 2628:Xiaoyun Wang; Hongbo Yu (2005). 2447:from the original on 11 May 2011 2384:from the original on 17 May 2017 2223:Rivest, Ronald L. (April 1992). 2165:from the original on 15 May 2017 2139:from the original on 14 May 2017 2053:from the original on 17 May 2017 2017:from the original on 23 May 2017 1965:Bishop Fox (26 September 2013). 1768:The MD5 Message-Digest Algorithm 1478:D)) g := (7×i) 598:79054025255fb1a26e4bc422aef54eb4 158:hash value. MD5 was designed by 27:Message-digest hashing algorithm 2918:from the original on 6 May 2021 2810:Dobbertin, Hans (Summer 1996). 2758:. Csrc.nist.gov. Archived from 2270:Internet Engineering Task Force 2229:Internet Engineering Task Force 2190:Internet Engineering Task Force 1851:CompTIA Security+ 2008 in depth 1557:D)) (16 ≤ i ≤ 31): F := C 732:denotes a left bit rotation by 4450:Information-theoretic security 4159:NIST hash function competition 2886:"Colliding X.509 Certificates" 2602:Hans Dobbertin (Summer 1996). 2536:"MD5 considered harmful today" 2128:Tao Xie; Dengguo Feng (2010). 2005:"Colliding X.509 Certificates" 1812:"Fast Collision Attack on MD5" 1705:Hash function security summary 1066: 1049: 1033: 1015: 983: 965: 955: 938: 932: 918: 908: 890: 880: 861: 855: 841: 831: 813: 353:chosen-prefix collision attack 1: 589:80d1e c69821bcb6a88393 96f965 577:1415a 085125e8f7cdc99f d91dbd 562:80d1e c69821bcb6a88393 96f965 550:1415a 085125e8f7cdc99f d91dbd 4619:Cryptographic hash functions 4164:Password Hashing Competition 3575:message authentication codes 3571:Cryptographic hash functions 2819:RSA Laboratories CryptoBytes 2564:Chaos Communication Congress 2368:M.M.J. Stevens (June 2007). 2309:Vulnerability notes database 1536:(Output is in little-endian) 475:Chaos Communication Congress 240:(also compromised since) or 148:MD5 message-digest algorithm 4566:Message authentication code 4521:Cryptographic hash function 4334:Cryptographic hash function 4118:Merkle–Damgård construction 3099:10.1007/978-3-642-01001-9_8 2184:Turner, Sean (March 2011). 1545:( 0 ≤ i ≤ 15): F := D 740:varies for each operation. 533:Merkle–Damgård construction 382:Overview of security issues 307:United States Cyber Command 179:cryptographic hash function 108:Merkle–Damgård construction 4645: 4445:Harvest now, decrypt later 3091:Springer Berlin Heidelberg 2996:"Forging SSL Certificates" 2971:. Verisign. Archived from 760:denotes addition modulo 2. 596:Both produce the MD5 hash 443: 372:content management systems 330:computationally infeasible 197:MD5 is one in a series of 4584: 4561:Post-quantum cryptography 4231: 3581: 3539: 3535: 3508:W3C recommendation on MD5 3027:Educated Guesswork (blog) 2161:. Marc-stevens.nl. 2012. 2046:Cryptology ePrint Archive 2010:Cryptology ePrint Archive 1939:Cryptology ePrint Archive 1819:Cryptology ePrint Archive 1139:operations respectively. 753:{\displaystyle \boxplus } 440:Collision vulnerabilities 228:; that is, two different 193:History and cryptanalysis 131: 4551:Quantum key distribution 4541:Authenticated encryption 4396:Random number generation 3912:key derivation functions 3525:16 November 2022 at the 3513:28 December 2014 at the 3443:Dobbertin, Hans (1996). 3426:. Citeseer.ist.psu.edu. 2998:. Schneier on Security. 2684:13 December 2007 at the 2558:16 November 2018 at the 1493:M must be a 32-bit block 1489:F := F + A + K + M 1295:original length in bits 1257:d0 := 0x10325476 1247:c0 := 0x98badcfe 1237:b0 := 0xefcdab89 1227:a0 := 0x67452301 138:length extension attacks 4546:Public-key cryptography 4536:Symmetric-key algorithm 4339:Key derivation function 4299:Cryptographic primitive 4292:Authentication protocol 4282:Outline of cryptography 4277:History of cryptography 4190:Hash-based cryptography 4092:Length extension attack 3332:1 December 2016 at the 3170:. Microsoft Community. 4287:Cryptographic protocol 4200:Message authentication 3023:"A real MD5 collision" 1914:1 January 2015 at the 1117: 1077: 761: 754: 659: 617:Preimage vulnerability 520:In 2012, according to 230:initialization vectors 187:Secure Hash Algorithms 4624:Broken hash functions 4440:End-to-end encryption 4386:Cryptojacking malware 2514:on 17 September 2008. 2371:On Collisions for MD5 2078:6 August 2011 at the 1847:Ciampa, Mark (2009). 1218:Initialize variables: 1118: 1078: 755: 696: 657: 524:, the authors of the 444:Further information: 347:exists that can find 169:MD5 can be used as a 4556:Quantum cryptography 4480:Trusted timestamping 3136:10.1109/CIS.2009.214 3093:. pp. 134–152. 3052:Anton A. Kuznetsov. 2944:. 31 December 2008. 1089: 803: 744: 679:electronic discovery 365:digital certificates 301:Various MD5-related 226:compression function 183:partitioned database 134:collision resistance 4629:Checksum algorithms 4319:Cryptographic nonce 4087:Side-channel attack 3200:. Microsoft Learn. 2377:(Master's thesis). 1932:(13 October 2004). 623:preimage resistance 392:collision-resistant 257:distributed project 34: 4425:Subliminal channel 4409:Pseudorandom noise 4356:Key (cryptography) 4144:CAESAR Competition 4128:HAIFA construction 4077:Brute-force attack 3388:. pp. 71–80. 3347:"Reference Source" 2975:on 16 January 2009 2421:on 9 November 2011 2337:Cimpanu, Catalin. 1946:on 5 November 2018 1520:digest := a0 1113: 1073: 1071: 762: 750: 660: 403:digital signatures 4606: 4605: 4602: 4601: 4485:Key-based routing 4475:Trapdoor function 4346:Digital signature 4227: 4226: 4223: 4222: 4021:ChaCha20-Poly1305 3838:Password hashing/ 3414:978-3-540-57600-6 3145:978-0-7695-3931-7 3108:978-3-642-01000-2 3033:on 15 August 2014 2710:on 28 August 2013 2485:on 27 March 2010. 2479:2005 rump session 2071:Vlastimil Klima: 1866:978-1-59863-913-1 1351:C := c0 1344:B := b0 1337:A := a0 503:Alexander Sotirov 434:digital signature 281:On 1 March 2005, 150:is a widely used 144: 143: 16:(Redirected from 4636: 4592: 4591: 4420:Insecure channel 4256: 4249: 4242: 4233: 4108:Avalanche effect 4062:Collision attack 3605:Common functions 3564: 3557: 3550: 3541: 3537: 3533: 3497: 3495: 3493: 3487: 3481:. Archived from 3466: 3456: 3439: 3437: 3435: 3418: 3399: 3372: 3369: 3363: 3362: 3360: 3358: 3343: 3337: 3324: 3318: 3317: 3315: 3313: 3298: 3292: 3291: 3289: 3287: 3272: 3266: 3265: 3263: 3261: 3246: 3240: 3239: 3237: 3235: 3220: 3214: 3213: 3211: 3209: 3190: 3184: 3183: 3181: 3179: 3164: 3158: 3157: 3119: 3113: 3112: 3082: 3076: 3075: 3073: 3071: 3065: 3058: 3049: 3043: 3042: 3040: 3038: 3029:. Archived from 3018: 3012: 3011: 3009: 3007: 2991: 2985: 2984: 2982: 2980: 2964: 2958: 2957: 2955: 2953: 2934: 2928: 2927: 2925: 2923: 2908: 2902: 2901: 2899: 2897: 2882: 2876: 2875: 2873: 2871: 2862:. Schneier.com. 2856: 2850: 2849: 2832: 2830: 2816: 2807: 2801: 2800: 2798: 2796: 2787:. Archived from 2781: 2772: 2771: 2769: 2767: 2752: 2746: 2745: 2743: 2741: 2726: 2720: 2719: 2717: 2715: 2706:. Archived from 2695: 2689: 2675: 2669: 2662: 2656: 2655: 2653: 2651: 2645: 2634: 2625: 2619: 2618: 2616: 2614: 2599: 2593: 2592: 2590: 2588: 2579:. 10 June 2015. 2573: 2567: 2551: 2549: 2547: 2531: 2516: 2515: 2513: 2507:. Archived from 2502: 2493: 2487: 2486: 2481:. Archived from 2463: 2457: 2456: 2454: 2452: 2437: 2431: 2430: 2428: 2426: 2420: 2414:. Archived from 2409: 2400: 2394: 2393: 2391: 2389: 2383: 2376: 2365: 2359: 2358: 2356: 2354: 2334: 2325: 2324: 2322: 2320: 2300: 2294: 2293: 2291: 2289: 2278:10.17487/RFC2104 2261: 2255: 2254: 2252: 2250: 2240: 2238:10.17487/RFC1321 2220: 2214: 2213: 2211: 2209: 2198:10.17487/RFC6151 2181: 2175: 2174: 2172: 2170: 2155: 2149: 2148: 2146: 2144: 2134: 2125: 2119: 2118: 2116: 2114: 2089: 2083: 2069: 2063: 2062: 2060: 2058: 2039:(5 March 2005). 2037:Klíma, Vlastimil 2033: 2027: 2026: 2024: 2022: 1993: 1987: 1986: 1984: 1982: 1977:on 26 April 2017 1973:. Archived from 1962: 1956: 1955: 1953: 1951: 1942:. Archived from 1930:Rose, Gregory G. 1925: 1919: 1905: 1896: 1895: 1877: 1871: 1870: 1854: 1844: 1838: 1837: 1835: 1833: 1827: 1816: 1807: 1801: 1800: 1798: 1796: 1784: 1782:10.17487/RFC1321 1755: 1614: 1601:avalanche effect 1538: 1509: 1495: 1488: 1364: 1330: 1309: 1291: 1280: 1266: 1260: 1250: 1240: 1230: 1220: 1212: 1187: 1179: 1159: 1122: 1120: 1119: 1114: 1082: 1080: 1079: 1074: 1072: 1065: 954: 931: 879: 871: 854: 795: 787: 783: 779: 775: 759: 757: 756: 751: 739: 735: 731: 722: 711: 700: 599: 592: 588: 584: 580: 576: 572: 565: 561: 557: 553: 549: 545: 456:RSA Laboratories 446:Collision attack 420:As of 2010, the 407:collision attack 376:password hashing 345:collision attack 270:, Dengguo Feng, 222:pseudo-collision 154:producing a 128- 35: 21: 4644: 4643: 4639: 4638: 4637: 4635: 4634: 4633: 4609: 4608: 4607: 4598: 4580: 4509: 4265: 4260: 4219: 4178: 4137:Standardization 4132: 4123:Sponge function 4096: 4072:Birthday attack 4067:Preimage attack 4050: 4006: 3999: 3927: 3910: 3909:General purpose 3904: 3839: 3833: 3682:Other functions 3677: 3644:SHA-3 finalists 3638: 3600: 3577: 3568: 3527:Wayback Machine 3515:Wayback Machine 3504: 3491: 3489: 3485: 3479: 3464: 3459: 3442: 3433: 3431: 3422: 3415: 3402: 3396: 3383: 3380: 3378:Further reading 3375: 3370: 3366: 3356: 3354: 3345: 3344: 3340: 3334:Wayback Machine 3327:NIST SP 800-132 3325: 3321: 3311: 3309: 3300: 3299: 3295: 3285: 3283: 3274: 3273: 3269: 3259: 3257: 3248: 3247: 3243: 3233: 3231: 3222: 3221: 3217: 3207: 3205: 3192: 3191: 3187: 3177: 3175: 3166: 3165: 3161: 3146: 3126:. Vol. 1. 3121: 3120: 3116: 3109: 3084: 3083: 3079: 3069: 3067: 3063: 3056: 3051: 3050: 3046: 3036: 3034: 3020: 3019: 3015: 3005: 3003: 2993: 2992: 2988: 2978: 2976: 2966: 2965: 2961: 2951: 2949: 2936: 2935: 2931: 2921: 2919: 2910: 2909: 2905: 2895: 2893: 2884: 2883: 2879: 2869: 2867: 2858: 2857: 2853: 2828: 2826: 2814: 2809: 2808: 2804: 2794: 2792: 2783: 2782: 2775: 2765: 2763: 2754: 2753: 2749: 2739: 2737: 2732:. Kb.cert.org. 2728: 2727: 2723: 2713: 2711: 2697: 2696: 2692: 2686:Wayback Machine 2676: 2672: 2663: 2659: 2649: 2647: 2643: 2632: 2627: 2626: 2622: 2612: 2610: 2601: 2600: 2596: 2586: 2584: 2575: 2574: 2570: 2560:Wayback Machine 2545: 2543: 2533: 2532: 2519: 2511: 2500: 2495: 2494: 2490: 2465: 2464: 2460: 2450: 2448: 2439: 2438: 2434: 2424: 2422: 2418: 2407: 2402: 2401: 2397: 2387: 2385: 2381: 2374: 2367: 2366: 2362: 2352: 2350: 2336: 2335: 2328: 2318: 2316: 2302: 2301: 2297: 2287: 2285: 2263: 2262: 2258: 2248: 2246: 2222: 2221: 2217: 2207: 2205: 2183: 2182: 2178: 2168: 2166: 2157: 2156: 2152: 2142: 2140: 2132: 2127: 2126: 2122: 2112: 2110: 2105:. 8 July 2010. 2091: 2090: 2086: 2080:Wayback Machine 2070: 2066: 2056: 2054: 2035: 2034: 2030: 2020: 2018: 1995: 1994: 1990: 1980: 1978: 1964: 1963: 1959: 1949: 1947: 1927: 1926: 1922: 1916:Wayback Machine 1906: 1899: 1892: 1879: 1878: 1874: 1867: 1846: 1845: 1841: 1831: 1829: 1825: 1814: 1809: 1808: 1804: 1794: 1792: 1757: 1756: 1752: 1748: 1696: 1646: 1644:Implementations 1622: 1616: 1610: 1597: 1579:message digests 1575: 1570: 1539: 1533: 1504: 1490: 1483: 1359: 1325: 1320:padded message 1304: 1289: 1275: 1261: 1258: 1248: 1238: 1228: 1215: 1207: 1182: 1174: 1154: 1145: 1087: 1086: 1070: 1069: 1036: 1009: 1008: 986: 959: 958: 911: 884: 883: 834: 801: 800: 793: 785: 781: 777: 773: 742: 741: 737: 733: 730: 724: 721: 713: 710: 702: 698: 691: 631: 619: 597: 594: 590: 586: 582: 578: 574: 570: 567: 563: 559: 555: 551: 547: 543: 511:Jacob Appelbaum 493:into a working 448: 442: 415:SSL certificate 384: 326: 295:Vlastimil Klima 249:birthday attack 195: 53:First published 28: 23: 22: 15: 12: 11: 5: 4642: 4640: 4632: 4631: 4626: 4621: 4611: 4610: 4604: 4603: 4600: 4599: 4597: 4596: 4585: 4582: 4581: 4579: 4578: 4573: 4571:Random numbers 4568: 4563: 4558: 4553: 4548: 4543: 4538: 4533: 4528: 4523: 4517: 4515: 4511: 4510: 4508: 4507: 4502: 4497: 4495:Garlic routing 4492: 4487: 4482: 4477: 4472: 4467: 4462: 4457: 4452: 4447: 4442: 4437: 4432: 4427: 4422: 4417: 4415:Secure channel 4412: 4406: 4405: 4404: 4393: 4388: 4383: 4378: 4376:Key stretching 4373: 4368: 4363: 4358: 4353: 4348: 4343: 4342: 4341: 4336: 4326: 4324:Cryptovirology 4321: 4316: 4311: 4309:Cryptocurrency 4306: 4301: 4296: 4295: 4294: 4284: 4279: 4273: 4271: 4267: 4266: 4261: 4259: 4258: 4251: 4244: 4236: 4229: 4228: 4225: 4224: 4221: 4220: 4218: 4217: 4212: 4207: 4202: 4197: 4192: 4186: 4184: 4180: 4179: 4177: 4176: 4171: 4166: 4161: 4156: 4151: 4146: 4140: 4138: 4134: 4133: 4131: 4130: 4125: 4120: 4115: 4113:Hash collision 4110: 4104: 4102: 4098: 4097: 4095: 4094: 4089: 4084: 4079: 4074: 4069: 4064: 4058: 4056: 4052: 4051: 4049: 4048: 4043: 4038: 4033: 4028: 4023: 4018: 4012: 4010: 4001: 4000: 3998: 3997: 3992: 3987: 3982: 3977: 3972: 3963: 3958: 3953: 3948: 3943: 3937: 3935: 3929: 3928: 3926: 3925: 3922: 3916: 3914: 3906: 3905: 3903: 3902: 3897: 3892: 3887: 3882: 3877: 3872: 3867: 3862: 3857: 3852: 3846: 3844: 3841:key stretching 3835: 3834: 3832: 3831: 3826: 3821: 3816: 3811: 3806: 3801: 3796: 3791: 3786: 3781: 3776: 3771: 3766: 3761: 3756: 3751: 3746: 3741: 3736: 3731: 3726: 3721: 3716: 3711: 3706: 3701: 3696: 3691: 3685: 3683: 3679: 3678: 3676: 3675: 3669: 3664: 3659: 3654: 3648: 3646: 3640: 3639: 3637: 3636: 3631: 3626: 3621: 3615: 3608: 3606: 3602: 3601: 3599: 3598: 3593: 3588: 3582: 3579: 3578: 3569: 3567: 3566: 3559: 3552: 3544: 3530: 3529: 3520:MD5 Calculator 3517: 3503: 3502:External links 3500: 3499: 3498: 3488:on 21 May 2009 3477: 3457: 3440: 3419: 3413: 3400: 3394: 3379: 3376: 3374: 3373: 3364: 3338: 3319: 3293: 3267: 3241: 3215: 3185: 3159: 3144: 3114: 3107: 3077: 3044: 3013: 2986: 2959: 2929: 2903: 2888:. Win.tue.nl. 2877: 2851: 2802: 2791:on 8 June 2012 2773: 2762:on 9 June 2011 2747: 2721: 2690: 2670: 2657: 2646:on 21 May 2009 2620: 2594: 2568: 2517: 2488: 2458: 2432: 2395: 2360: 2326: 2295: 2256: 2215: 2176: 2150: 2120: 2084: 2064: 2028: 1997:Lenstra, Arjen 1988: 1957: 1920: 1897: 1891:978-1449373320 1890: 1872: 1865: 1839: 1802: 1761:(April 1992). 1749: 1747: 1744: 1743: 1742: 1737: 1732: 1727: 1722: 1717: 1712: 1707: 1702: 1695: 1692: 1691: 1690: 1685: 1680: 1675: 1670: 1665: 1660: 1655: 1645: 1642: 1620: 1605: 1591: 1574: 1571: 1544: 1153: 1144: 1141: 1112: 1109: 1106: 1103: 1100: 1097: 1094: 1084: 1083: 1068: 1064: 1060: 1057: 1054: 1051: 1048: 1045: 1042: 1039: 1037: 1035: 1032: 1029: 1026: 1023: 1020: 1017: 1014: 1011: 1010: 1007: 1004: 1001: 998: 995: 992: 989: 987: 985: 982: 979: 976: 973: 970: 967: 964: 961: 960: 957: 953: 949: 946: 943: 940: 937: 934: 930: 926: 923: 920: 917: 914: 912: 910: 907: 904: 901: 898: 895: 892: 889: 886: 885: 882: 878: 874: 870: 866: 863: 860: 857: 853: 849: 846: 843: 840: 837: 835: 833: 830: 827: 824: 821: 818: 815: 812: 809: 808: 749: 726: 717: 706: 690: 687: 672:key stretching 630: 627: 618: 615: 568: 541: 495:CA certificate 466:documents and 452:Hans Dobbertin 441: 438: 383: 380: 325: 322: 215:Hans Dobbertin 199:message digest 194: 191: 175:data integrity 142: 141: 129: 128: 121: 120: 117: 111: 110: 105: 101: 100: 97: 91: 90: 87: 81: 80: 76: 75: 62: 58: 57: 54: 50: 49: 44: 40: 39: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 4641: 4630: 4627: 4625: 4622: 4620: 4617: 4616: 4614: 4595: 4587: 4586: 4583: 4577: 4576:Steganography 4574: 4572: 4569: 4567: 4564: 4562: 4559: 4557: 4554: 4552: 4549: 4547: 4544: 4542: 4539: 4537: 4534: 4532: 4531:Stream cipher 4529: 4527: 4524: 4522: 4519: 4518: 4516: 4512: 4506: 4503: 4501: 4498: 4496: 4493: 4491: 4490:Onion routing 4488: 4486: 4483: 4481: 4478: 4476: 4473: 4471: 4470:Shared secret 4468: 4466: 4463: 4461: 4458: 4456: 4453: 4451: 4448: 4446: 4443: 4441: 4438: 4436: 4433: 4431: 4428: 4426: 4423: 4421: 4418: 4416: 4413: 4410: 4407: 4402: 4399: 4398: 4397: 4394: 4392: 4389: 4387: 4384: 4382: 4379: 4377: 4374: 4372: 4369: 4367: 4366:Key generator 4364: 4362: 4359: 4357: 4354: 4352: 4349: 4347: 4344: 4340: 4337: 4335: 4332: 4331: 4330: 4329:Hash function 4327: 4325: 4322: 4320: 4317: 4315: 4312: 4310: 4307: 4305: 4304:Cryptanalysis 4302: 4300: 4297: 4293: 4290: 4289: 4288: 4285: 4283: 4280: 4278: 4275: 4274: 4272: 4268: 4264: 4257: 4252: 4250: 4245: 4243: 4238: 4237: 4234: 4230: 4216: 4213: 4211: 4208: 4206: 4205:Proof of work 4203: 4201: 4198: 4196: 4193: 4191: 4188: 4187: 4185: 4181: 4175: 4172: 4170: 4167: 4165: 4162: 4160: 4157: 4155: 4152: 4150: 4147: 4145: 4142: 4141: 4139: 4135: 4129: 4126: 4124: 4121: 4119: 4116: 4114: 4111: 4109: 4106: 4105: 4103: 4099: 4093: 4090: 4088: 4085: 4083: 4082:Rainbow table 4080: 4078: 4075: 4073: 4070: 4068: 4065: 4063: 4060: 4059: 4057: 4053: 4047: 4044: 4042: 4039: 4037: 4034: 4032: 4029: 4027: 4024: 4022: 4019: 4017: 4014: 4013: 4011: 4008: 4005:Authenticated 4002: 3996: 3993: 3991: 3988: 3986: 3983: 3981: 3978: 3976: 3973: 3971: 3967: 3964: 3962: 3959: 3957: 3954: 3952: 3949: 3947: 3944: 3942: 3939: 3938: 3936: 3934: 3933:MAC functions 3930: 3923: 3921: 3918: 3917: 3915: 3913: 3907: 3901: 3898: 3896: 3893: 3891: 3888: 3886: 3883: 3881: 3878: 3876: 3873: 3871: 3868: 3866: 3863: 3861: 3858: 3856: 3853: 3851: 3848: 3847: 3845: 3842: 3836: 3830: 3827: 3825: 3822: 3820: 3817: 3815: 3812: 3810: 3807: 3805: 3802: 3800: 3797: 3795: 3792: 3790: 3787: 3785: 3782: 3780: 3777: 3775: 3772: 3770: 3767: 3765: 3762: 3760: 3757: 3755: 3752: 3750: 3747: 3745: 3742: 3740: 3737: 3735: 3732: 3730: 3727: 3725: 3722: 3720: 3717: 3715: 3712: 3710: 3707: 3705: 3702: 3700: 3697: 3695: 3692: 3690: 3687: 3686: 3684: 3680: 3673: 3670: 3668: 3665: 3663: 3660: 3658: 3655: 3653: 3650: 3649: 3647: 3645: 3641: 3635: 3632: 3630: 3627: 3625: 3622: 3620:(compromised) 3619: 3616: 3614:(compromised) 3613: 3610: 3609: 3607: 3603: 3597: 3596:Known attacks 3594: 3592: 3589: 3587: 3584: 3583: 3580: 3576: 3572: 3565: 3560: 3558: 3553: 3551: 3546: 3545: 3542: 3538: 3534: 3528: 3524: 3521: 3518: 3516: 3512: 3509: 3506: 3505: 3501: 3484: 3480: 3478:3-540-25910-4 3474: 3470: 3463: 3458: 3454: 3450: 3446: 3441: 3429: 3425: 3420: 3416: 3410: 3406: 3401: 3397: 3395:3-540-56413-6 3391: 3387: 3382: 3381: 3377: 3368: 3365: 3352: 3348: 3342: 3339: 3335: 3331: 3328: 3323: 3320: 3307: 3303: 3297: 3294: 3281: 3277: 3271: 3268: 3255: 3251: 3245: 3242: 3229: 3225: 3219: 3216: 3203: 3199: 3195: 3189: 3186: 3173: 3169: 3163: 3160: 3155: 3151: 3147: 3141: 3137: 3133: 3129: 3125: 3118: 3115: 3110: 3104: 3100: 3096: 3092: 3088: 3081: 3078: 3062: 3055: 3048: 3045: 3032: 3028: 3024: 3017: 3014: 3001: 2997: 2990: 2987: 2974: 2970: 2963: 2960: 2947: 2943: 2939: 2933: 2930: 2917: 2913: 2907: 2904: 2891: 2887: 2881: 2878: 2865: 2861: 2855: 2852: 2848: 2846: 2845: 2840: 2839: 2824: 2820: 2813: 2806: 2803: 2790: 2786: 2780: 2778: 2774: 2761: 2757: 2751: 2748: 2735: 2731: 2725: 2722: 2709: 2705: 2701: 2694: 2691: 2687: 2683: 2680: 2674: 2671: 2667: 2661: 2658: 2642: 2638: 2631: 2624: 2621: 2609: 2605: 2598: 2595: 2582: 2578: 2572: 2569: 2565: 2561: 2557: 2554: 2541: 2537: 2530: 2528: 2526: 2524: 2522: 2518: 2510: 2506: 2499: 2492: 2489: 2484: 2480: 2478: 2473: 2469: 2466:Magnus Daum, 2462: 2459: 2446: 2442: 2436: 2433: 2417: 2413: 2406: 2399: 2396: 2380: 2373: 2372: 2364: 2361: 2348: 2344: 2340: 2333: 2331: 2327: 2314: 2310: 2306: 2299: 2296: 2283: 2279: 2275: 2271: 2267: 2260: 2257: 2244: 2239: 2234: 2230: 2226: 2219: 2216: 2203: 2199: 2195: 2191: 2187: 2180: 2177: 2164: 2160: 2154: 2151: 2138: 2131: 2124: 2121: 2108: 2104: 2100: 2099: 2094: 2088: 2085: 2081: 2077: 2074: 2068: 2065: 2052: 2048: 2047: 2042: 2038: 2032: 2029: 2016: 2012: 2011: 2006: 2002: 2001:Wang, Xiaoyun 1998: 1992: 1989: 1976: 1972: 1968: 1961: 1958: 1945: 1941: 1940: 1935: 1931: 1924: 1921: 1917: 1913: 1910: 1904: 1902: 1898: 1893: 1887: 1883: 1876: 1873: 1868: 1862: 1858: 1853: 1852: 1843: 1840: 1824: 1820: 1813: 1806: 1803: 1791: 1788: 1783: 1778: 1774: 1770: 1769: 1764: 1760: 1754: 1751: 1745: 1741: 1738: 1736: 1733: 1731: 1728: 1726: 1723: 1721: 1718: 1716: 1713: 1711: 1708: 1706: 1703: 1701: 1698: 1697: 1693: 1689: 1686: 1684: 1681: 1679: 1676: 1674: 1671: 1669: 1666: 1664: 1661: 1659: 1658:Bouncy Castle 1656: 1654: 1651: 1650: 1649: 1643: 1641: 1639: 1635: 1631: 1627: 1619: 1613: 1609: 1604: 1602: 1595: 1590: 1588: 1584: 1580: 1572: 1568: 1564: 1560: 1556: 1552: 1548: 1543: 1537: 1531: 1527: 1523: 1519: 1516: 1513: 1508: 1503: 1499: 1494: 1487: 1481: 1477: 1473: 1469: 1465: 1461: 1457: 1453: 1449: 1445: 1441: 1437: 1433: 1429: 1425: 1421: 1418:F := (D 1417: 1413: 1409: 1405: 1401: 1397: 1394:F := (B 1393: 1389: 1386:F, g 1385: 1382: 1379: 1375: 1371: 1367: 1363: 1358:D := d0 1357: 1354: 1350: 1347: 1343: 1340: 1336: 1333: 1329: 1323: 1319: 1315: 1312: 1308: 1302: 1298: 1294: 1287: 1283: 1279: 1273: 1269: 1265: 1256: 1253: 1246: 1243: 1236: 1233: 1226: 1223: 1219: 1211: 1206: 1202: 1198: 1194: 1190: 1186: 1178: 1172: 1169: 1165: 1162: 1158: 1152: 1150: 1149:little-endian 1142: 1140: 1138: 1134: 1130: 1126: 1107: 1104: 1101: 1098: 1095: 1092: 1062: 1055: 1052: 1046: 1043: 1040: 1038: 1030: 1027: 1024: 1021: 1018: 1012: 1005: 1002: 999: 996: 993: 990: 988: 980: 977: 974: 971: 968: 962: 951: 944: 941: 935: 928: 924: 921: 915: 913: 905: 902: 899: 896: 893: 887: 876: 872: 868: 858: 851: 847: 844: 838: 836: 828: 825: 822: 819: 816: 810: 799: 798: 797: 791: 770: 767: 747: 729: 720: 716: 709: 705: 695: 688: 686: 684: 680: 675: 673: 670:, often with 669: 664: 656: 652: 649: 644: 640: 636: 628: 626: 624: 616: 614: 612: 606: 603: 540: 538: 534: 531:MD5 uses the 529: 527: 523: 518: 516: 515:Arjen Lenstra 512: 508: 504: 500: 496: 492: 488: 484: 480: 476: 471: 469: 465: 460: 457: 454:wrote in the 453: 447: 439: 437: 435: 431: 427: 423: 418: 416: 412: 408: 404: 400: 397: 393: 389: 381: 379: 377: 373: 368: 366: 361: 359: 354: 350: 346: 341: 339: 338:Flame malware 335: 331: 323: 321: 318: 316: 310: 308: 304: 299: 296: 292: 288: 284: 283:Arjen Lenstra 279: 277: 273: 269: 265: 260: 258: 254: 250: 245: 243: 239: 233: 231: 227: 224:" of the MD5 223: 218: 216: 212: 208: 204: 203:Ronald Rivest 200: 192: 190: 188: 184: 180: 176: 172: 167: 165: 161: 160:Ronald Rivest 157: 153: 152:hash function 149: 139: 135: 130: 127: 126:cryptanalysis 122: 118: 116: 112: 109: 106: 102: 98: 96: 92: 88: 86: 82: 79:Cipher detail 77: 74: 70: 66: 63: 59: 55: 51: 48: 47:Ronald Rivest 45: 41: 36: 30: 19: 4526:Block cipher 4371:Key schedule 4361:Key exchange 4351:Kleptography 4314:Cryptosystem 4263:Cryptography 3611: 3490:. Retrieved 3483:the original 3468: 3452: 3448: 3432:. Retrieved 3404: 3385: 3367: 3355:. Retrieved 3341: 3322: 3310:. Retrieved 3296: 3284:. Retrieved 3270: 3258:. Retrieved 3244: 3232:. Retrieved 3218: 3206:. Retrieved 3197: 3188: 3176:. Retrieved 3162: 3123: 3117: 3086: 3080: 3068:. Retrieved 3047: 3035:. Retrieved 3031:the original 3026: 3016: 3004:. Retrieved 2989: 2977:. Retrieved 2973:the original 2962: 2950:. Retrieved 2941: 2932: 2920:. Retrieved 2906: 2894:. Retrieved 2880: 2868:. Retrieved 2854: 2842: 2836: 2834: 2827:. Retrieved 2822: 2818: 2805: 2793:. Retrieved 2789:the original 2764:. Retrieved 2760:the original 2750: 2738:. Retrieved 2724: 2712:. Retrieved 2708:the original 2693: 2673: 2660: 2648:. Retrieved 2641:the original 2636: 2623: 2611:. Retrieved 2607: 2597: 2585:. Retrieved 2571: 2562:at the 25th 2544:. Retrieved 2509:the original 2504: 2491: 2483:the original 2475: 2468:Stefan Lucks 2461: 2449:. Retrieved 2435: 2423:. Retrieved 2416:the original 2411: 2398: 2386:. Retrieved 2370: 2363: 2351:. Retrieved 2342: 2317:. Retrieved 2308: 2298: 2286:. Retrieved 2269: 2259: 2247:. Retrieved 2228: 2218: 2206:. Retrieved 2189: 2179: 2167:. Retrieved 2153: 2141:. Retrieved 2123: 2111:. Retrieved 2096: 2087: 2067: 2055:. Retrieved 2044: 2031: 2019:. Retrieved 2008: 1991: 1979:. Retrieved 1975:the original 1970: 1960: 1948:. Retrieved 1944:the original 1937: 1923: 1881: 1875: 1850: 1842: 1830:. Retrieved 1818: 1805: 1793:. Retrieved 1767: 1753: 1647: 1637: 1623: 1617: 1611: 1598: 1578: 1576: 1566: 1562: 1558: 1554: 1550: 1546: 1540: 1535: 1529: 1525: 1521: 1517: 1514: 1511: 1506: 1501: 1497: 1492: 1485: 1479: 1475: 1471: 1467: 1466:F := C 1463: 1462:48 ≤ i ≤ 63 1459: 1455: 1451: 1447: 1446:F := B 1443: 1442:32 ≤ i ≤ 47 1439: 1435: 1431: 1427: 1423: 1419: 1415: 1414:16 ≤ i ≤ 31 1411: 1407: 1403: 1399: 1395: 1391: 1387: 1383: 1380: 1377: 1373: 1369: 1365: 1361: 1355: 1352: 1348: 1345: 1341: 1338: 1334: 1331: 1327: 1321: 1317: 1313: 1310: 1306: 1300: 1296: 1292: 1285: 1281: 1277: 1271: 1267: 1263: 1254: 1251: 1244: 1241: 1234: 1231: 1224: 1221: 1217: 1209: 1204: 1200: 1196: 1192: 1188: 1184: 1176: 1170: 1167: 1163: 1160: 1156: 1146: 1085: 789: 771: 763: 727: 725:<<< 718: 714: 707: 703: 676: 665: 661: 632: 629:Applications 620: 607: 595: 536: 530: 519: 507:Marc Stevens 472: 461: 449: 419: 399:certificates 385: 369: 362: 342: 327: 319: 315:Marc Stevens 311: 300: 287:Xiaoyun Wang 280: 268:Xiaoyun Wang 261: 246: 234: 219: 196: 168: 147: 145: 124:Best public 85:Digest sizes 29: 4514:Mathematics 4505:Mix network 4195:Merkle tree 4183:Utilization 4169:NSA Suite B 3449:CryptoBytes 3424:"CiteSeerX" 3357:23 December 3336:Section 5.1 3208:23 November 3178:23 November 2979:31 December 2952:31 December 2714:24 February 2650:21 December 2608:CryptoBytes 2546:30 December 2208:11 November 1981:10 February 1583:hexadecimal 1500:(F, s) 1458:16 1438:16 1390:0 ≤ i ≤ 15 1123:denote the 683:Bates stamp 479:PS3 cluster 95:Block sizes 4613:Categories 4465:Ciphertext 4435:Decryption 4430:Encryption 4391:Ransomware 4007:encryption 3784:RadioGatún 3591:Comparison 3286:19 October 3194:"certutil" 3070:3 November 2613:22 October 2319:3 February 2103:Wired News 2098:USCYBERCOM 2057:10 October 2021:10 October 1950:10 October 1832:3 December 1795:10 October 1759:Rivest, R. 1746:References 1573:MD5 hashes 1498:leftrotate 1362:Main loop: 1143:Pseudocode 648:PowerShell 593:b6ff72a70 566:b6ff72a70 464:PostScript 417:validity. 349:collisions 303:RFC errata 272:Xuejia Lai 264:collisions 242:RIPEMD-160 173:to verify 56:April 1992 4455:Plaintext 3924:KDF1/KDF2 3843:functions 3829:Whirlpool 3469:EUROCRYPT 3386:EUROCRYPT 2829:10 August 2553:Announced 2477:Eurocrypt 2288:5 October 2249:5 October 1971:BishopFox 1710:HashClash 1673:Libgcrypt 1638:streaming 1111:¬ 1105:∨ 1099:∧ 1093:⊕ 1059:¬ 1056:∨ 1047:⊕ 1003:⊕ 997:⊕ 948:¬ 945:∧ 936:∨ 925:∧ 873:∧ 865:¬ 859:∨ 848:∧ 748:⊞ 689:Algorithm 522:Microsoft 411:checksums 278:cluster. 104:Structure 43:Designers 4594:Category 4500:Kademlia 4460:Codetext 4403:(CSPRNG) 4149:CRYPTREC 3980:Poly1305 3900:yescrypt 3814:Streebog 3694:CubeHash 3674:(winner) 3523:Archived 3511:Archived 3434:9 August 3428:Archived 3351:Archived 3330:Archived 3312:10 April 3306:Archived 3280:Archived 3260:10 April 3254:Archived 3234:10 April 3228:Archived 3202:Archived 3198:certutil 3172:Archived 3154:16512325 3061:Archived 3059:. IACR. 3037:13 April 3006:10 April 3000:Archived 2946:Archived 2922:9 August 2916:Archived 2896:9 August 2890:Archived 2870:9 August 2864:Archived 2766:9 August 2740:9 August 2734:Archived 2704:CNET.com 2682:Archived 2581:Archived 2556:Archived 2540:Archived 2451:25 March 2445:Archived 2425:31 March 2388:31 March 2379:Archived 2347:Archived 2313:Archived 2282:Archived 2243:Archived 2202:Archived 2169:10 April 2163:Archived 2137:Archived 2107:Archived 2076:Archived 2051:Archived 2015:Archived 1912:Archived 1823:Archived 1715:MD5Crypt 1694:See also 1668:Crypto++ 1663:cryptlib 1311:for each 1303:message 1284:"0" bit 1270:"1" bit 736:places; 668:password 643:checksum 635:software 499:VeriSign 491:RapidSSL 487:Lausanne 324:Security 276:IBM p690 171:checksum 18:MD5 hash 4270:General 4055:Attacks 3985:SipHash 3941:CBC-MAC 3875:LM hash 3855:Balloon 3719:HAS-160 3492:6 March 2587:10 June 2353:17 June 2143:28 July 2113:29 July 1720:md5deep 1688:wolfSSL 1683:OpenSSL 1512:end for 1502:end for 1460:else if 1440:else if 1412:else if 1314:512-bit 1205:end for 481:at the 99:512 bit 89:128 bit 71:, MD5, 38:General 4381:Keygen 4215:Pepper 4154:NESSIE 4101:Design 3895:scrypt 3890:PBKDF2 3865:Catena 3860:bcrypt 3850:Argon2 3809:Snefru 3804:Shabal 3799:SWIFFT 3779:RIPEMD 3774:N-hash 3749:MASH-2 3744:MASH-1 3729:Kupyna 3689:BLAKE3 3672:Keccak 3657:Grøstl 3634:BLAKE2 3475:  3411:  3392:  3152:  3142:  3105:  2825:(2): 1 2795:7 June 2666:RIPEMD 1888:  1863:  1725:md5sum 1678:Nettle 1634:md5sum 1626:octets 1530:append 1526:append 1522:append 1316:chunk 1293:append 1282:append 1268:append 790:rounds 784:, and 766:padded 639:md5sum 602:nibble 537:prefix 255:was a 253:MD5CRK 115:Rounds 61:Series 4411:(PRN) 4009:modes 3885:Makwa 3880:Lyra2 3870:crypt 3819:Tiger 3769:MDC-2 3724:HAVAL 3709:Fugue 3667:Skein 3652:BLAKE 3629:SHA-3 3624:SHA-2 3618:SHA-1 3486:(PDF) 3465:(PDF) 3150:S2CID 3064:(PDF) 3057:(PDF) 2942:Wired 2815:(PDF) 2644:(PDF) 2633:(PDF) 2512:(PDF) 2501:(PDF) 2419:(PDF) 2408:(PDF) 2382:(PDF) 2375:(PDF) 2343:ZDNet 2133:(PDF) 1826:(PDF) 1815:(PDF) 1740:SHA-2 1735:SHA-1 1653:Botan 1630:bytes 1606:MD5(" 1592:MD5(" 1587:ASCII 1286:until 1166:s, K 526:Flame 468:X.509 430:Flame 426:SHA-2 388:SHA-1 291:X.509 238:SHA-1 4210:Salt 4174:CNSA 4041:IAPM 3995:VMAC 3990:UMAC 3975:PMAC 3970:CMAC 3966:OMAC 3961:NMAC 3956:HMAC 3951:GMAC 3920:HKDF 3789:SIMD 3739:Lane 3714:GOST 3699:ECOH 3586:List 3573:and 3494:2008 3473:ISBN 3455:(2). 3436:2010 3409:ISBN 3390:ISBN 3359:2020 3314:2014 3288:2014 3262:2014 3236:2014 3210:2023 3180:2023 3140:ISBN 3128:IEEE 3103:ISBN 3072:2014 3039:2015 3008:2014 2981:2008 2954:2008 2924:2010 2898:2010 2872:2010 2831:2010 2797:2012 2768:2010 2742:2010 2716:2009 2652:2009 2615:2013 2589:2015 2548:2008 2453:2011 2427:2010 2390:2010 2355:2019 2321:2017 2290:2013 2251:2013 2210:2013 2171:2014 2145:2011 2115:2011 2059:2018 2023:2018 1983:2014 1952:2018 1886:ISBN 1861:ISBN 1834:2013 1797:2018 1790:1321 1773:IETF 1569:C)) 1518:char 1464:then 1444:then 1416:then 1392:then 1370:from 1259:// D 1249:// C 1239:// B 1229:// A 1193:from 1135:and 483:EPFL 358:GPUs 146:The 4046:OCB 4036:GCM 4031:EAX 4026:CWC 4016:CCM 3946:DAA 3824:VSH 3794:SM3 3764:MD6 3759:MD4 3754:MD2 3734:LSH 3704:FSB 3612:MD5 3132:doi 3095:doi 2844:sic 2838:sic 2274:doi 2233:doi 2194:doi 1857:290 1787:RFC 1777:doi 1730:MD6 1567:xor 1565:(B 1563:and 1561:(D 1559:xor 1555:xor 1553:(C 1551:and 1549:(B 1547:xor 1534:// 1532:d0 1528:c0 1524:b0 1515:var 1505:// 1491:// 1484:// 1482:16 1480:mod 1476:not 1470:(B 1468:xor 1456:mod 1452:xor 1448:xor 1436:mod 1432:and 1430:D) 1428:not 1422:B) 1420:and 1408:and 1406:B) 1404:not 1398:C) 1396:and 1384:int 1381:var 1376:63 1366:for 1360:// 1356:int 1353:var 1349:int 1346:var 1342:int 1339:var 1335:int 1332:var 1326:// 1305:// 1297:mod 1276:// 1262:// 1255:int 1252:var 1245:int 1242:var 1235:int 1232:var 1225:int 1222:var 1216:// 1208:// 1199:63 1189:for 1183:// 1175:// 1171:int 1168:var 1164:int 1161:var 1155:// 1137:NOT 1129:AND 1125:XOR 611:MPI 485:in 401:or 396:SSL 211:MD4 207:MIT 205:of 164:MD4 156:bit 73:MD6 69:MD4 65:MD2 33:MD5 4615:: 3662:JH 3471:. 3467:. 3451:. 3447:. 3349:. 3278:. 3196:. 3148:. 3138:. 3101:. 3025:. 2940:. 2833:. 2821:. 2817:. 2776:^ 2702:. 2635:. 2606:. 2538:. 2520:^ 2503:. 2474:. 2470:. 2443:. 2410:. 2345:. 2341:. 2329:^ 2307:. 2280:. 2272:. 2268:. 2241:. 2231:. 2227:. 2200:. 2192:. 2188:. 2135:. 2101:. 2095:. 2049:. 2043:. 2013:. 2007:. 1999:; 1969:. 1936:. 1900:^ 1859:. 1821:. 1817:. 1785:. 1771:. 1765:. 1628:, 1472:or 1450:C 1426:(( 1424:or 1402:(( 1400:or 1388:if 1378:do 1374:to 1372:0 1368:i 1322:do 1318:of 1301:to 1299:2 1272:to 1201:do 1197:to 1195:0 1191:i 1181:} 1173:i 1151:. 1133:OR 1131:, 1127:, 780:, 776:, 641:) 513:, 509:, 505:, 436:. 378:. 343:A 285:, 251:. 244:. 189:. 67:, 4255:e 4248:t 4241:v 3968:/ 3563:e 3556:t 3549:v 3496:. 3453:2 3438:. 3417:. 3398:. 3361:. 3316:. 3290:. 3264:. 3238:. 3212:. 3182:. 3156:. 3134:: 3111:. 3097:: 3074:. 3041:. 3010:. 2983:. 2956:. 2926:. 2900:. 2874:. 2823:2 2799:. 2770:. 2744:. 2718:. 2654:. 2617:. 2591:. 2566:. 2550:. 2455:. 2429:. 2392:. 2357:. 2323:. 2292:. 2276:: 2253:. 2235:: 2212:. 2196:: 2173:. 2147:. 2117:. 2061:. 2025:. 1985:. 1954:. 1894:. 1869:. 1836:. 1799:. 1779:: 1612:. 1474:( 1108:, 1102:, 1096:, 1067:) 1063:D 1053:B 1050:( 1044:C 1041:= 1034:) 1031:D 1028:, 1025:C 1022:, 1019:B 1016:( 1013:I 1006:D 1000:C 994:B 991:= 984:) 981:D 978:, 975:C 972:, 969:B 966:( 963:H 956:) 952:D 942:C 939:( 933:) 929:D 922:B 919:( 916:= 909:) 906:D 903:, 900:C 897:, 894:B 891:( 888:G 881:) 877:D 869:B 862:( 856:) 852:C 845:B 842:( 839:= 832:) 829:D 826:, 823:C 820:, 817:B 814:( 811:F 794:F 786:D 782:C 778:B 774:A 738:s 734:s 728:s 719:i 715:K 708:i 704:M 699:F 591:a 587:2 583:3 579:7 575:f 571:0 564:2 560:a 556:b 552:f 548:7 544:8 140:. 119:4 20:)

Index

MD5 hash
Ronald Rivest
MD2
MD4
MD6
Digest sizes
Block sizes
Merkle–Damgård construction
Rounds
cryptanalysis
collision resistance
length extension attacks
hash function
bit
Ronald Rivest
MD4
checksum
data integrity
cryptographic hash function
partitioned database
Secure Hash Algorithms
message digest
Ronald Rivest
MIT
MD4
Hans Dobbertin
pseudo-collision
compression function
initialization vectors
SHA-1

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