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Autocorrelations of Vectorial Boolean Functions
Recently, Bar-On et al. introduced at Eurocrypt’19 a new tool, called the differential-linear connectivity table (DLCT), which allows for taking into...
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Two secondary constructions of bent functions without initial conditions
In this article, we propose two secondary constructions of bent functions without any conditions on initial bent functions employed by these methods....
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On Plateaued Functions, Linear Structures and Permutation Polynomials
We obtain concrete upper bounds on the algebraic immunity of a class of highly nonlinear plateaued functions without linear structures than the one...
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Linear codes from weakly regular plateaued functions and their secret sharing schemes
Linear codes, the most significant class of codes in coding theory, have diverse applications in secret sharing schemes, authentication codes,...
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Further projective binary linear codes derived from two-to-one functions and their duals
Binary linear codes with few weights have wide applications in communication, secret sharing schemes, authentication codes, association schemes,...
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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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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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Boolean functions with six-valued Walsh spectra and their application
Boolean functions play an important role in coding theory and symmetric cryptography. In this paper, three classes of Boolean functions with...
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Binary linear codes with few weights from Boolean functions
Boolean functions have very nice applications in coding theory and cryptography. In coding theory, Boolean functions have been used to construct...
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Low c-differential uniformity for functions modified on subfields
In this paper, we construct some piecewise defined functions, and study their c -differential uniformity. As a by-product, we improve upon several...
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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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On the linear structures of balanced functions and quadratic APN functions
The set of linear structures of most known balanced Boolean functions is non-trivial. In this paper, some balanced Boolean functions whose set of...
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Multiple characters transforms and generalized Boolean functions
In this paper we investigate generalized Boolean functions whose spectrum is flat with respect to a set of Walsh-Hadamard transforms defined using...
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Minimal linear codes from weakly regular bent functions
Minimal linear codes have received much attention in the past decades due to their important applications in secret sharing schemes and secure...
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Several classes of new weakly regular bent functions outside \(\mathcal{R}\mathcal{F}\), their duals and some related (minimal) codes with few weights
Boosted by cryptography and coding theory applications and rich connections to objects from geometry and combinatorics, bent functions and related...
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Recent results and problems on constructions of linear codes from cryptographic functions
Linear codes have a wide range of applications in the data storage systems, communication systems, consumer electronics products since their...
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Generalized isotopic shift construction for APN functions
In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (IEEE Trans Inform Theory...
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