On constructions and nonlinearity of correlation immune functions
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Improved Upper Bound on the Nonlinearity of High Order Correlation Immune Functions
SAC '00 Proceedings of the 7th Annual International Workshop on Selected Areas in Cryptography
Highly Nonlinear Resilient Functions Optimizing Siegenthaler's Inequality
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Nonlinearity Bounds and Constructions of Resilient Boolean Functions
CRYPTO '00 Proceedings of the 20th 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 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
Further Results on the Relation Between Nonlinearity and Resiliency for Boolean Functions
Proceedings of the 7th IMA International Conference on Cryptography and Coding
Decrypting a Class of Stream Ciphers Using Ciphertext Only
IEEE Transactions on Computers
The bit extraction problem or t-resilient functions
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
Construction of nonlinear boolean functions with important cryptographic properties
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
A Brief Outline of Research on Correlation Immune Functions
ACISP '02 Proceedings of the 7th Australian Conference on Information Security and Privacy
On Propagation Characteristics of Resilient Functions
SAC '02 Revised Papers from the 9th Annual International Workshop on Selected Areas in Cryptography
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
Autocorrelation Properties of Correlation Immune Boolean Functions
INDOCRYPT '01 Proceedings of the Second International Conference on Cryptology in India: Progress 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
Construction of Cryptographically Important Boolean Functions
INDOCRYPT '02 Proceedings of the Third International Conference on Cryptology: Progress in Cryptology
Evolving Boolean Functions Satisfying Multiple Criteria
INDOCRYPT '02 Proceedings of the Third International Conference on Cryptology: Progress in Cryptology
Autocorrelation Coefficients and Correlation Immunity of Boolean Functions
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application 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
A New Ultrafast Stream Cipher Design: COS Ciphers
Proceedings of the 8th IMA International Conference on Cryptography and Coding
Efficient Implementation of "Large" Stream Cipher Systems
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Minimum Distance between Bent and Resilient Boolean Functions
IWCC '09 Proceedings of the 2nd International Workshop on Coding and Cryptology
On the value distributions of Walsh spectrums of quadratic Plateaued functions
Computers and Electrical Engineering
Extending the resynchronization attack
SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
On bent and highly nonlinear balanced/resilient functions and their algebraic immunities
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
FSE'05 Proceedings of the 12th international conference on Fast Software Encryption
New cryptographic applications of boolean function equivalence classes
ACISP'05 Proceedings of the 10th Australasian conference on Information Security and Privacy
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Results on algebraic immunity for cryptographically significant boolean functions
INDOCRYPT'04 Proceedings of the 5th international conference on Cryptology in India
Constructions of 1-resilient Boolean functions on odd number of variables with a high nonlinearity
Security and Communication Networks
Spectral Domain Analysis of Correlation Immune and Resilient Boolean Functions
Finite Fields and Their Applications
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It is proved that the maximal possible nonlinearity of n- variable m-resilient Boolean function is 2n-1-2m+1 for 2n-7/ 3 ≤ m ≤ n-2. This value can be achieved only for optimized functions (i. e. functions with an algebraic degree n - m - 1). For 2n-7/3 ≤ m ≤ n - log2 n+2/3 - 2 it is suggested a method to construct an n-variable m-resilient function with maximal possible nonlinearity 2n-1 -2m+1 such that each variable presents in ANF of this function in some term of maximal possible length n - m - 1.