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math.CO2023
Bent functions satisfying the dual bent condition and permutations with the property
Alexandr Polujan, Enes Pasalic, Sadmir Kudin +1
The concatenation of four Boolean bent functions is bent if and only if the dual bent condition is satisfied. However, to…
cs.IT2023
Design and analysis of bent functions using -subspaces
Enes Pasalic, Alexandr Polujan, Sadmir Kudin +1
In this article, we provide the first systematic analysis of bent functions on in the Maiorana-McFarland class regarding the origin and cardin…
math.CO2023
On Constructions and Enumeration of Vectorial Hyper-bent Functions in the $\cP\cS_{ap}^{\#}$ Class
Jingkun Zhou, Chunming Tang, Fengrong Zhang
The purpose of this paper is to give explicit constructions of vectorial hyper-bent functions in the $\cP\cS_{ap}^{\#}$ class. It seems that the explicit constructions were so far…