An Alternate Characterization of the Bentness of BinaryFunctions, with Uniqueness
Designs, Codes and Cryptography
Maximally Nonlinear Functions and Bent Functions
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Covering Sequences of Boolean Functions and Their Cryptographic Significance
Designs, Codes and Cryptography
A New Representation of Boolean Functions
AAECC-13 Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Piecewise Constructions of Bent and Almost Optimal Boolean Functions
Designs, Codes and Cryptography
Hyper-bent functions and cyclic codes
Journal of Combinatorial Theory Series A
Note: On the degree of homogeneous bent functions
Discrete Applied Mathematics
Bent and hyper-bent functions over a field of 2l elements
Problems of Information Transmission
The evolutionary design of trace form bent functions in cryptography
International Journal of Information and Computer Security
More correlation-immune and resilient functions over Galois fields and Galois rings
EUROCRYPT'97 Proceedings of the 16th annual international conference on Theory and application of cryptographic techniques
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
p-Ary and q-ary versions of certain results about bent functions and resilient functions
Finite Fields and Their Applications
q-ary Bent Functions Constructed from Chain Rings
Finite Fields and Their Applications
A new construction of bent functions based on $${\mathbb{Z}}$$ -bent functions
Designs, Codes and Cryptography
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We exhibit a simple condition under which the sum (modulo 2) of characteristic functions of (n/2)-dimensional vector subspaces of (GF(2))n (n even) is a Bent function. The “Fourier” transform of such a Bent function is the sum of the characteristic functions of the duals of these spaces. The class of Bent functions that we obtain contains the whole partial spreads class. Any element of Maiorana-McFarland's class or of class D is equivalent to one of its elements. Thus this new class gives a unified insight of both general classes of Bent functions studied by Dillon (1974) in his thesis. We deduce a way to construct new classes of Bent functions and exhibit an example