Add to ORKGIn this paper we consider the Cayley graph Gf associated to a Boolean function f and we use it to investigate some of the cryp-tographic properties of f. We derive necessary (but not sufficient) conditions for a Boolean function to be bent. We also find a com-plete characterization of the propagation characteristics of f using the topology of its associated Cayley graph Gf. Finally, some inequali-ties between the cardinality of the spectrum of Gf and the Hamming weight of f are obtained, and some problems are raised.
This paper considers the bent and hyper-bent properties of a class of Boolean functions. For one cas...
This paper considers the bent and hyper-bent properties of a class of Boolean functions. For one cas...
In this paper, we obtain a characterization of generalized Boolean functions based on spectral analy...
In this paper we consider the Cayley graph Gf associated with a Boolean function f and we use it to ...
In this paper we consider the Cayley graph Gf associated with a Boolean function f and we use it to ...
In this paper, we consider te Cayley graph Gf associated with a Boolean function f and we use it to ...
In this paper we define the (edge-weighted) Cayley graph associated to a generalized Boolean functio...
The article of record as published may be found at https://doi.org/10.1.1016/j.dam.2020.01.026In thi...
A Boolean function is a function $f:\Bbb{Z}_n^2 \rightarrow \{0,1\}$ and we denote the set of all $n...
In this paper, we present four product operations to construct cryptographic boolean functions from ...
The relation between the Walsh-Hadamard transform and the auto-correlation function of Boolean funct...
In this paper, we present four product operations to construct cryptographic boolean functions from ...
Abstract—In this paper, we consider the spectra of Boolean functions with respect to the action of u...
The article of record as published may be found at http://dx.doi.org/10.1515/jmc-2014-0030We prove v...
We prove various results on monotone Boolean functions. In particular, we prove a conjecture propose...
This paper considers the bent and hyper-bent properties of a class of Boolean functions. For one cas...
This paper considers the bent and hyper-bent properties of a class of Boolean functions. For one cas...
In this paper, we obtain a characterization of generalized Boolean functions based on spectral analy...
In this paper we consider the Cayley graph Gf associated with a Boolean function f and we use it to ...
In this paper we consider the Cayley graph Gf associated with a Boolean function f and we use it to ...
In this paper, we consider te Cayley graph Gf associated with a Boolean function f and we use it to ...
In this paper we define the (edge-weighted) Cayley graph associated to a generalized Boolean functio...
The article of record as published may be found at https://doi.org/10.1.1016/j.dam.2020.01.026In thi...
A Boolean function is a function $f:\Bbb{Z}_n^2 \rightarrow \{0,1\}$ and we denote the set of all $n...
In this paper, we present four product operations to construct cryptographic boolean functions from ...
The relation between the Walsh-Hadamard transform and the auto-correlation function of Boolean funct...
In this paper, we present four product operations to construct cryptographic boolean functions from ...
Abstract—In this paper, we consider the spectra of Boolean functions with respect to the action of u...
The article of record as published may be found at http://dx.doi.org/10.1515/jmc-2014-0030We prove v...
We prove various results on monotone Boolean functions. In particular, we prove a conjecture propose...
This paper considers the bent and hyper-bent properties of a class of Boolean functions. For one cas...
This paper considers the bent and hyper-bent properties of a class of Boolean functions. For one cas...
In this paper, we obtain a characterization of generalized Boolean functions based on spectral analy...