Investigations on bent and negabent functions via the nega-Hadamard transform
Parker considered a new type of discrete Fourier transform, called nega-Hadamard
transform. We prove several results regarding its behavior on combinations of Boolean …
transform. We prove several results regarding its behavior on combinations of Boolean …
Bent and generalized bent Boolean functions
In this paper, we investigate the properties of generalized bent functions defined on Z _2^ n
with values in Z _q, where q≥ 2 is any positive integer. We characterize the class of …
with values in Z _q, where q≥ 2 is any positive integer. We characterize the class of …
Characterization of negabent functions and construction of bent-negabent functions with maximum algebraic degree
We present necessary and sufficient conditions for a Boolean function to be a negabent
function for both an even and an odd number of variables, which demonstrates the …
function for both an even and an odd number of variables, which demonstrates the …
Constructions of bent—negabent functions and their relation to the completed Maiorana—McFarland class
F Zhang, Y Wei, E Pasalic - IEEE Transactions on Information …, 2015 - ieeexplore.ieee.org
The problem of constructing bent-negabent functions that do not belong to the completed
Maiorana-McFarland class emerges implicitly through a series of construction methods …
Maiorana-McFarland class emerges implicitly through a series of construction methods …
Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent
Exponential sums of symmetric Boolean functions are linear recurrent with integer
coefficients. This was first established by Cai, Green and Thierauf in the mid nineties …
coefficients. This was first established by Cai, Green and Thierauf in the mid nineties …
Several secondary methods for constructing bent–negabent functions
In this paper, we present three secondary methods for constructing bent–negabent functions
under the frameworks of the indirect sum construction (proposed by Carlet in 2004), the …
under the frameworks of the indirect sum construction (proposed by Carlet in 2004), the …
Characterizing negabent Boolean functions over finite fields
S Sarkar - International Conference on Sequences and Their …, 2012 - Springer
We consider negabent Boolean functions that have Trace representation. To the best of our
knowledge, this is the first ever work on negabent functions with such representation. We …
knowledge, this is the first ever work on negabent functions with such representation. We …
Walsh spectrum and Nega spectrum of complementary arrays
J Chai, Z Wang, E Xue - Designs, Codes and Cryptography, 2021 - Springer
It has been shown that all the known binary Golay complementary sequences of length 2^ m
2 m can be obtained by a single binary Golay complementary array of dimension m and size …
2 m can be obtained by a single binary Golay complementary array of dimension m and size …
Further results on constructions of generalized bent Boolean functions.
F Zhang, S **a, P Stanica, Y Zhou - Sci. China Inf. Sci., 2016 - apps.dtic.mil
Boolean bent functions were introduced by Rothaus in 1976 as an interesting combinatorial
object with the important property of having optimal nonlinearity 1. Since bent functions have …
object with the important property of having optimal nonlinearity 1. Since bent functions have …
On Generalized Nega-Hadamard Transform and Nega-crosscorrelation
D Sharma, M Ahmad Dar - Cryptography and Communications, 2024 - Springer
In the construction of cryptosystems, we need functions with some cryptographically
significant properties. It is known that the Global Avalanche Characteristic (GAC) is one of …
significant properties. It is known that the Global Avalanche Characteristic (GAC) is one of …