Explicit infinite families of bent functions outside the completed Maiorana–McFarland class
E Pasalic, A Bapić, F Zhang, Y Wei - Designs, Codes and Cryptography, 2023 - Springer
During the last five decades, many different secondary constructions of bent functions were
proposed in the literature. Nevertheless, apart from a few works, the question about the class …
proposed in the literature. Nevertheless, apart from a few works, the question about the class …
Constructing new superclasses of bent functions from known ones
Some recent research articles (Zhang et al. in Lecture Notes in Computer Science, 10194,
298-313., Zhang et al. in Discret. Appl. Math. 285 (1), 458-472.) addressed an explicit …
298-313., Zhang et al. in Discret. Appl. Math. 285 (1), 458-472.) addressed an explicit …
Constructions of several special classes of cubic bent functions outside the completed Maiorana-McFarland class
F Zhang, E Pasalic, A Bapić, B Wang - Information and Computation, 2024 - Elsevier
We show that the direct sum, under more relaxed conditions compared to those of Polujan
and Pott (2020), can generate bent functions provably outside the completed Maiorana …
and Pott (2020), can generate bent functions provably outside the completed Maiorana …
Bent functions satisfying the dual bent condition and permutations with the property
The concatenation of four Boolean bent functions f= f 1|| f 2|| f 3|| f 4 is bent if and only if the
dual bent condition f 1∗+ f 2∗+ f 3∗+ f 4∗= 1 is satisfied. However, to specify four bent …
dual bent condition f 1∗+ f 2∗+ f 3∗+ f 4∗= 1 is satisfied. However, to specify four bent …
Design and analysis of bent functions using M-subspaces
In this article, we provide the first systematic analysis of bent functions on in the Maiorana-
McFarland class regarding the origin and cardinality of their-subspaces, ie, vector …
McFarland class regarding the origin and cardinality of their-subspaces, ie, vector …
Designing plateaued Boolean functions in spectral domain and their classification
The design of plateaued functions over GF (2) n, also known as 3-valued Walsh spectra
functions (taking the values from the set {0,±2 Γ (n+ s/2) 1}), has been commonly …
functions (taking the values from the set {0,±2 Γ (n+ s/2) 1}), has been commonly …
A further study on the construction methods of bent functions and self-dual bent functions based on Rothaus's bent function
S Su, X Guo - Designs, Codes and Cryptography, 2023 - Springer
Bent functions are maximally nonlinear Boolean functions. They are important functions
introduced by Rothaus and studied firstly by Dillon and next by many researchers for more …
introduced by Rothaus and studied firstly by Dillon and next by many researchers for more …
Generic constructions of five-valued spectra Boolean functions
Whereas the design and properties of bent and plateaued functions have been frequently
addressed during the past few decades, there are only a few design methods of the so …
addressed during the past few decades, there are only a few design methods of the so …
A new characterization of 2-resilient rotation symmetric Boolean functions
J Du, Z Chen, L Dong, T Wang… - IEICE Transactions on …, 2023 - search.ieice.org
In this paper, the notion of 2-tuples distribution matrices of the rotation symmetric orbits is
proposed, by using the properties of the 2-tuples distribution matrix, a new characterization …
proposed, by using the properties of the 2-tuples distribution matrix, a new characterization …
Characterization of basic 5-value spectrum functions through Walsh-Hadamard transform
The first and the third authors recently introduced a spectral construction of plateaued and of
5-value spectrum functions. In particular, the design of the latter class requires a …
5-value spectrum functions. In particular, the design of the latter class requires a …