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Constructing WAPB Boolean Functions From the Direct Sum of WAPB Boolean Functions
A Boolean function with good cryptographic properties over a set of vectors with constant Hamming weight is significant for stream ciphers like FLIP....
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New characterizations of generalized Boolean functions
This paper focuses on providing the characteristics of generalized Boolean functions from a new perspective. We first generalize the classical...
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Characterization of Exact One-Query Quantum Algorithms for Partial Boolean Functions
The query model (or black-box model) has attracted much attention from the communities of both classical and quantum computing. Usually, quantum...
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The Application of Majority Voting Functions to Estimate the Number of Monotone Self-Dual Boolean Functions
AbstractOne of the problems of modern discrete mathematics is Dedekind’s problem on the number of monotone Boolean functions. For other precomplete...
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Distribution of the autocorrelation of random Boolean functions
The nonlinearity of Boolean functions is well known and the behaviour of the nonlinearity of random Boolean functions has been studied, showing that...
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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...
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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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A New Angle: On Evolving Rotation Symmetric Boolean Functions
Rotation symmetric Boolean functions represent an interesting class of Boolean functions as they are relatively rare compared to general Boolean...
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Partial Boolean Functions for QBF Semantics
Long-distance resolution for quantified boolean formula (QBF) solving was introduced in 2002 by Zhang and Malik, but has been controversial for the...
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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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Asymptotically optimal aperiodic quasi-complementary sequence sets based on extended Boolean functions
Quasi-complementary sequence sets (QCSSs) are important in modern communication systems as they are capable of supporting more users, which is...
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Optimal Recombination Problem in Genetic Programming for Boolean Functions
A problem of Boolean function approximation by some set of basic functions is investigated. The solution is constructed by a Boolean functional tree,...
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Improved cryptographic properties of Boolean functions obtained from the neighbourhood of Patterson-Wiedemann functions
More than a decade ago, the balanced and 1-resilient Boolean functions on 15 variables with the best known nonlinearities 16272 and 16264,...
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On those Boolean functions that are coset leaders of first order Reed-Muller codes
In this paper, we study the class of those Boolean functions that are coset leaders of first order Reed-Muller codes. We study their properties and...
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Private Computation of Boolean Functions Using Single Qubits
Secure Multiparty Computation (SMC) facilitates secure collaboration among multiple parties while safeguarding the privacy of their confidential...
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Analysis of boolean functions related to binary input binary output two-party nonlocal games
The famous CHSH game can be interpreted with Boolean functions while understanding the success probability in the classical scenario. In this paper,...
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On the Double Differential Uniformity of Vectorial Boolean Functions
We introduce the double differential distribution table (DDDT) and the double differential uniformity of a vectorial Boolean function to study the...