Cryptographic attacks

Integral cryptanalysis

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, , 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. (Wikipedia).

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Trig identities and partial fraction decomposition. New math videos every Wednesday. Subscribe to make sure you see them!

From playlist Integrals

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👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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From playlist Computer - Cryptography and Network Security

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From playlist Integrals

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👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t

From playlist The Integral

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From playlist The Integral

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From playlist Classical Cryptography

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From playlist Computer - Cryptography and Network Security

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From playlist Applied Cryptography

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Related pages

Square (cipher) | Skipjack (cipher) | CRYPTON | Twofish | International Data Encryption Algorithm | PostScript | SHARK | Block cipher | Differential cryptanalysis | Cryptography | Cryptanalysis | Multiset | Set (mathematics) | Camellia (cipher) | Substitution–permutation network | KHAZAD | Calculus | Hierocrypt | IDEA NXT | MISTY1