In cryptography, integral cryptanalysis is a cryptanalytic attack that is particularly applicable to block ciphers based on substitution–permutation networks. It was originally designed by Lars Knudsen as a dedicated attack against Square, so it is commonly known as the Square attack. It was also extended to a few other ciphers related to Square: CRYPTON, Rijndael, and SHARK. Stefan Lucks generalized the attack to what he called a saturation attack and used it to attack Twofish, which is not at all similar to Square, having a radically different Feistel network structure. Forms of integral cryptanalysis have since been applied to a variety of ciphers, including Hierocrypt, IDEA, Camellia, Skipjack, MISTY1, MISTY2, SAFER++, KHAZAD, and FOX (now called IDEA NXT).
Unlike differential cryptanalysis, which uses pairs of chosen plaintexts with a fixed XOR difference, integral cryptanalysis uses sets or even multisets of chosen plaintexts of which part is held constant, and another part varies through all possibilities. For example, an attack might use 256 chosen plaintexts that have all but 8 of their bits the same, but all differ in those 8 bits. Such a set necessarily has an XOR sum of 0, and the XOR sums of the corresponding sets of ciphertexts provide information about the cipher's operation. This contrast between the differences of pairs of texts and the sums of larger sets of texts inspired the name "integral cryptanalysis", borrowing the terminology of calculus.
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In cryptography, integralcryptanalysis is a cryptanalytic attack that is particularly applicable to block ciphers based on substitution–permutation networks...
truncated differential cryptanalysis, partial differential cryptanalysis, integralcryptanalysis, which encompasses square and integral attacks, slide attacks...
Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block ciphers, but also to stream ciphers and cryptographic hash...
However, it was successfully broken in 2015 by Yosuke Todo using integralcryptanalysis; this attack was improved in the same year by Achiya Bar-On. "MISTY"...
Rechberger (2011-08-17). "Biclique Cryptanalysis of the Full AES". Cryptology ePrint Archive. Vincent Rijmen (1997). "Cryptanalysis and Design of Iterated Block...
He introduced the technique of impossible differential cryptanalysis and integralcryptanalysis. Knudsen, Lars (21 February 1998). "DEAL - A 128-bit Block...
In cryptography, linear cryptanalysis is a general form of cryptanalysis based on finding affine approximations to the action of a cipher. Attacks have...
discovered integralcryptanalysis. Paul Kocher, US, discovered differential power analysis. Mitsuru Matsui, Japan, discoverer of linear cryptanalysis. David...
cipher outside the Square family, thus generalising the attack into integralcryptanalysis. He has also co-authored attacks on AES, LEVIATHAN, and the E0 cipher...
key and some subkeys. There has also been some success applying integralcryptanalysis to reduced-round Hierocrypt variants; attacks faster than exhaustive...
less complexity than a brute-force search: differential cryptanalysis (DC), linear cryptanalysis (LC), and Davies' attack. However, the attacks are theoretical...
cryptanalysis is a form of cryptanalysis for block ciphers. Developed by Carlo Harpes in 1995, the attack is a generalization of linear cryptanalysis...
and Dmitry Khovratovich, Related-key Cryptanalysis of the Full AES-192 and AES-256, "Related-key Cryptanalysis of the Full AES-192 and AES-256". Table...
2000[update], the best published cryptanalysis of the Twofish block cipher is a truncated differential cryptanalysis of the full 16-round version. The...
letter, a syllable, or a pair of letters, etc.) to produce a cyphertext. Cryptanalysis is the term used for the study of methods for obtaining the meaning...
the boomerang attack is a method for the cryptanalysis of block ciphers based on differential cryptanalysis. The attack was published in 1999 by David...
cryptography, mod n cryptanalysis is an attack applicable to block and stream ciphers. It is a form of partitioning cryptanalysis that exploits unevenness...
differential cryptanalysis. The term "rotational cryptanalysis" was coined by Dmitry Khovratovich and Ivica Nikolić in 2010 paper "Rotational Cryptanalysis of ARX"...
easier than using cryptanalysis of known plaintext, ciphertext pairs. Sometimes timing information is combined with cryptanalysis to increase the rate...
impossible differential cryptanalysis is a form of differential cryptanalysis for block ciphers. While ordinary differential cryptanalysis tracks differences...
n=(280-1)·2176+157 Borisov, et al., using a multiplicative form of differential cryptanalysis, found a complementation property for any variant of xmx, like the first...
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