Using property for designing bent functions provably outside the completed Maiorana–McFarland class

E Pasalic, A Bapić, F Zhang, Y Wei - Designs, Codes and Cryptography, 2024 - Springer
In this article, we identify certain instances of bent functions, constructed using the so-called
P τ property, that are provably outside the completed Maiorana–McFarland (MM#) class …

Vectorial negabent concepts: similarities, differences, and generalizations

N Anbar, S Kudin, W Meidl, E Pasalic… - Designs, Codes and …, 2024 - Springer
In Pasalic et al.(IEEE Trans Inf Theory 69: 2702–2712, 2023), and in Anbar and Meidl
(Cryptogr Commun 10: 235–249, 2018), two different vectorial negabent and vectorial bent …

Cryptographic analysis and construction of complete permutations using a recursive approach

S Xiang, Y Tang, Y Tong… - International Journal of …, 2024 - inderscienceonline.com
This paper proposes a novel recursive approach for constructing generalised complete
permutations over finite fields and analyses their cryptographic properties. The method can …

Constructing Quadratic and Cubic Negabent Functions over Finite Fields

F Guo, Z Wang, G Gong - 2023 IEEE International Symposium …, 2023 - ieeexplore.ieee.org
Bent functions have flat absolute Walsh-Hadamard spectra and negabent functions have flat
absolute nega-Hadamard spectra. Those properties are wide applications in cryptography …

On Vectorial Bent-Negabent Functions, Their Constructions and Bounds

A Polujan - Book of abstracts - org.uib.no
On Vectorial Bent-Negabent Functions, Their Constructions and Bounds Page 34 On Vectorial
Bent-Negabent Functions, Their Constructions and Bounds Alexandr Polujan Otto von …