Nonlinearity criteria for cryptographic functions
EUROCRYPT '89 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
Nonlinearly balanced Boolean functions and their propagation characteristics
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
On constructions and nonlinearity of correlation immune functions
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Nonlinearity and propagation characteristics of balanced Boolean functions
Information and Computation
An effective genetic algorithm for finding highly nonlinear Boolean Functions
ICICS '97 Proceedings of the First International Conference on Information and Communication Security
A Larger Class of Cryptographic Boolean Functions via a Study of the Maiorana-McFarland Construction
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
On Correlation-Immune Functions
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
On the Constructing of Highly Nonlinear Resilient Boolean Functions by Means of Special Matrices
INDOCRYPT '01 Proceedings of the Second International Conference on Cryptology in India: Progress in Cryptology
Evolving Boolean Functions Satisfying Multiple Criteria
INDOCRYPT '02 Proceedings of the Third International Conference on Cryptology: Progress in Cryptology
On the Correlation Immune Functions and Their Nonlinearity
ASIACRYPT '96 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
New Constructions of Resilient Boolean Functions with Maximal Nonlinearity
FSE '01 Revised Papers from the 8th International Workshop on Fast Software Encryption
Efficient Implementation of Cryptographically Useful 'Large' Boolean Functions
IEEE Transactions on Computers
Discrete Applied Mathematics - Special issue: Coding and cryptography
Construction of nonlinear boolean functions with important cryptographic properties
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
The rainbow attack on stream ciphers based on maiorana-mcfarland functions
ACNS'06 Proceedings of the 4th international conference on Applied Cryptography and Network Security
Construction of nonlinear resilient Boolean functions using "small" affine functions
IEEE Transactions on Information Theory
Maiorana–McFarland Class: Degree Optimization and Algebraic Properties
IEEE Transactions on Information Theory
Search for Boolean Functions With Excellent Profiles in the Rotation Symmetric Class
IEEE Transactions on Information Theory
On cross-correlation indicators of an S-box
Frontiers of Computer Science in China
A recursive construction of highly nonlinear resilient vectorial functions
Information Sciences: an International Journal
| Hi-index | 754.84 |
In this paper, a technique on constructing nonlinear resilient Boolean functions is described. By using several sets of disjoint spectra functions on a small number of variables, an almost optimal resilient function on a large even number of variables can be constructed. It is shown that given any m, one can construct infinitely many n-variable (n even), m-resilient functions with non-linearity 2n-1-2n/2. A large class of highly nonlinear resilient functions which were not known are obtained. Then one method to optimize the degree of the constructed functions is proposed. Last, an improved version of the main construction is given.