Linear cryptanalysis method for DES cipher
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Applied cryptography (2nd ed.): protocols, algorithms, and source code in C
Applied cryptography (2nd ed.): protocols, algorithms, and source code in C
Discrete Applied Mathematics - Coding, cryptography and computer security
Linear Cryptanalysis Using Multiple Approximations
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
Quadratic Relation of S-box and Its Application to the Linear Attack of Full Round DES
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
ASIACRYPT '94 Proceedings of the 4th International Conference on the Theory and Applications of Cryptology: Advances in Cryptology
How to Strengthen DES Using Existing Hardware
ASIACRYPT '94 Proceedings of the 4th International Conference on the Theory and Applications of Cryptology: Advances in Cryptology
On Applying Linear Cryptanalysis to IDEA
ASIACRYPT '96 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Practically Secure Feistel Cyphers
Fast Software Encryption, Cambridge Security Workshop
New Structure of Block Ciphers with Provable Security against Differential and Linear Cryptanalysis
Proceedings of the Third International Workshop on Fast Software Encryption
Improving Linear Cryptanalysis of LOKI91 by Probabilistic Counting Method
FSE '97 Proceedings of the 4th International Workshop on Fast Software Encryption
Linear Cryptanalysis of Reduced Round Serpent
FSE '01 Revised Papers from the 8th International Workshop on Fast Software Encryption
Hyper-bent functions and cyclic codes
Journal of Combinatorial Theory Series A
Note: Generalized hyper-bent functions over GF(p)
Discrete Applied Mathematics
On Probability of Success in Linear and Differential Cryptanalysis
Journal of Cryptology
Bent and hyper-bent functions over a field of 2l elements
Problems of Information Transmission
Non-linear approximations in linear cryptanalysis
EUROCRYPT'96 Proceedings of the 15th annual international conference on Theory and application of cryptographic techniques
A generalization of linear cryptanalysis and the applicability of Matsui's piling-up lemma
EUROCRYPT'95 Proceedings of the 14th annual international conference on Theory and application of cryptographic techniques
A linear analysis of Blowfish and Khufu
ISPEC'07 Proceedings of the 3rd international conference on Information security practice and experience
Non-linear cryptanalysis revisited: heuristic search for approximations to S-boxes
Cryptography and Coding'07 Proceedings of the 11th IMA international conference on Cryptography and coding
On Boolean functions which are bent and negabent
SSC'07 Proceedings of the 2007 international conference on Sequences, subsequences, and consequences
A survey of some recent results on bent functions
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
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We consider quadratic approximations (of Boolean functions) of a special form and their potential applications in block cipher cryptanalysis. We show that the use of k-bent functions as ciphering functions extremely increases the resistance of ciphers to such approximations. We consider examples of 4-bit permutations recommended for use in S-boxes of the algorithms GOST 28147-89, DES, and s 3DES; we show that in almost all cases there exist more probable (than linear) quadratic relations of a special form on input and output bits of these permutations.