Search
Search Results
-
A further study on the construction methods of bent functions and self-dual bent functions based on Rothaus’s bent function
Bent functions are maximally nonlinear Boolean functions. They are important functions introduced by Rothaus and studied firstly by Dillon and next...
-
Bent and Near-Bent Function Construction and 2-Error-Correcting Codes
A function \(f: F_{2^m} \rightarrow F_{2^t}\) is called a...
-
Derivatives of bent functions in connection with the bent sum decomposition problem
In this paper, we investigate when a balanced function can be a derivative of a bent function. We prove that every nonconstant affine function in an...
-
Bent-Core Liquid Crystals
In the year 1996, an unusual ferroelectric behavior of liquid crystals composed of achiral bent-core (or banana-shaped) molecules was reported. Since...
-
Decomposing self-dual bent functions
Bent functions are Boolean functions in even number of variables that have maximal nonlinearity. They have flat Walsh–Hadamard spectrum and are of...
-
Matrix-Valued Binary Bent Functions
In theory and practice of bent functions, the term class is used in a twofold meaning. Most often, it is applied to sets of bent functions generated...
-
Gibbs Characterization of Ternary Bent Functions
In this chapter, the Gibbs characterization of binary bent functions is extended to ternary functions. Due to the differences between binary and...
-
Gibbs Characterization of Binary Bent Functions
In this chapter, we discuss a characterization of binary bent functions by the dyadic Gibbs derivatives.
-
Self-Dual Hadamard Bent Sequences
A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application (Solé, et al., 2021). The...
-
Adiabatic Invariants during Channeling in a Bent Crystal
AbstractWe consider the channeling effect in a bent single crystal. In the accompanying reference frame moving along the plane or axis of channeling...
-
Look into the Mirror: Evolving Self-dual Bent Boolean Functions
Bent Boolean functions are important objects in cryptography and coding theory, and there are several general approaches for constructing such...
-
Beam merging assisted by a bent crystal
Bunch merging is a well-established technique to increase the intensity of synchrotrons and the luminosity of circular colliders. We suggest to...
-
Gibbs Characterization of a Class of Quaternary Bent Functions
As already noticed in previous chapters, there are differences between binary bent functions and bent functions for...
-
Semantic mutation operator for a fast and efficient design of bent Boolean functions
Boolean functions are important cryptographic primitives with extensive use in symmetric cryptography. These functions need to possess various...
-
Construction of nonlinear component based on bent Boolean functions
The substitution box (S-box) is the core component of any block cipher that creates confusion in the ciphertext. This research contributes to...
-
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...
-
Construction of Bent Functions by FFT-like Permutation Matrices
In this chapter, we first present a particular class of permutation matrices introduced in [1, 2] as FFT-like permutation matrices, since they are...
-
Dielectric Studies on a Bent-Core Liquid Crystal Taken in Cells Fabricated with ITO Substrates Functionalized with Bent-Core Molecules
Bent-core liquid crystals (BCLCs) have high potential for device applications. However, efficient strategies for aligning them on suitable...
