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Heuristic search of (semi-)bent functions based on cellular automata
An interesting thread in the research of Boolean functions for cryptography and coding theory is the study of secondary constructions : given a known...
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Three classes of balanced vectorial semi-bent functions
Semi-bent functions play an important role in symmetric ciphers and sequence designs. So far, there are few studies related to the construction of...
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Exploring Semi-bent Boolean Functions Arising from Cellular Automata
Semi-bent Boolean functions are interesting from a cryptographic standpoint, since they possess several desirable properties such as having a low and...
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Explicit infinite families of bent functions outside the completed Maiorana–McFarland class
During the last five decades, many different secondary constructions of bent functions were proposed in the literature. Nevertheless, apart from a...
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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...
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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...
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Discovering Rotation Symmetric Self-dual Bent Functions with Evolutionary Algorithms
Bent Boolean functions are interesting mathematical objects with diverse real-world applications. Besides looking at the whole class of bent...
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Cryptographic functions with interesting properties from CCZ-equivalence
In the last decades, because of their significantly important applications, a large number of papers were devoted to constructing cryptographic...
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A survey of metaheuristic algorithms for the design of cryptographic Boolean functions
Boolean functions are mathematical objects used in diverse domains and have been actively researched for several decades already. One domain where...
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Exploring Diverse Configurations of Cellular Automata Based S-Boxes Using Reinforcement Learning
This paper presents an approach for constructing efficient substitution boxes (S-boxes) for cryptographic applications by combining cellular automata...
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Design and Implementation of Compact Reconfigurable Ultra-Wideband Slotted Antenna with Switchable Notch Functions
This study presents a slotted compact microstrip antenna with reconfigurable feature to provide either a single, dual or triple band notch function....
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Boolean Functions with a Few Walsh Transform Values
Boolean functions have been extensively studied in coding theory, cryptography, sequence design and graph theory. By adding two products of three...
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BinDMO: a new Binary Dwarf Mongoose Optimization algorithm on based Z-shaped, U-shaped, and taper-shaped transfer functions for CEC-2017 benchmarks
Intelligent swarm optimization algorithms have become increasingly common due to their success in solving real-world problems. Dwarf Mongoose...
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A survey on p-ary and generalized bent functions
Boolean bent functions have been introduced by Rothaus in 1966, bent functions in odd characteristic were first considered in 1985 by Kumar, Scholtz,...
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On cryptographic properties of cubic and splitting Boolean functions
The weight, balancedness and nonlinearity are important properties of Boolean functions, but they can be difficult to determine in general. In this...
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Constructing new superclasses of bent functions from known ones
Some recent research articles (Zhang et al. in Lecture Notes in Computer Science, 10194, 298-313. (
2017 ), Zhang et al. in Discret. Appl. Math.... -
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Exploring Lightweight S-boxes Using Cellular Automata and Reinforcement Learning
The most important elements of block ciphers are nonlinear functions known as substitution boxes (S-boxes). S-boxes with weak cryptographic...