Results 21 to 30 of about 12,156,906 (329)
New results on vectorial dual-bent functions and partial difference sets [PDF]
Designs, Codes and Cryptography, 2022 Bent functions $$f: V_{n}\rightarrow \mathbb {F}_{p}$$ f : V n → F p play an important role in constructing partial difference sets, where $$V_{n}$$ V n denotes an n -dimensional vector space over $$\mathbb {F}_{p}$$ F p , p is an odd prime. In [ 2 , 3 ],
Jiaxin Wang, Fang-Wei Fu
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Heuristic search of (semi-)bent functions based on cellular automata [PDF]
Natural Computing, 2021 An interesting thread in the research of Boolean functions for cryptography and coding theory is the study of secondary constructions: given a known function with a good cryptographic profile, the aim is to extend it to a (usually larger) function ...
L. Mariot +3 more
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Vectorial bent functions and their duals
Linear Algebra and its Applications, 2018 Cesmelioglu, Ayca/0000-0001-5049-9135Motivated by the observation that for two (weakly regular) bent functions f, g for which also f + g is bent, the sum f* + g* of their duals f and g* is sometimes but not always bent, we initiate the study of duality ...
Alexander Pott +5 more
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Bent functions in the partial spread class generated by linear recurring sequences [PDF]
Designs, Codes and Cryptography, 2021 We present a construction of partial spread bent functions using subspaces generated by linear recurring sequences (LRS). We first show that the kernels of the linear mappings defined by two LRS have a trivial intersection if and only if their feedback ...
M. Gadouleau, L. Mariot, S. Picek
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Explicit infinite families of bent functions outside the completed Maiorana–McFarland class
Designs, Codes and Cryptography, 2023 During the last five decades, many different secondary constructions of bent functions were proposed in the literature. Nevertheless, apart from a few works, the question about the class inclusion of bent functions generated using these methods is rarely
E. Pasalic +3 more
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Construction of an S-Box Based on Chaotic and Bent Functions
Symmetry, 2021 An S-box is the most important part of a symmetric encryption algorithm. Various schemes are put forward by using chaos theory. In this paper, a construction method of S-boxes with good cryptographic properties is proposed.
Zijing Jiang, Q. Ding
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Cubic bent functions outside the completed Maiorana-McFarland class [PDF]
Designs, Codes and Cryptography, 2020 In this paper we prove that in opposite to the cases of 6 and 8 variables, the Maiorana-McFarland construction does not describe the whole class of cubic bent functions in n variables for all n≥10\documentclass[12pt]{minimal} \usepackage{amsmath ...
Alexandr A. Polujan, A. Pott
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On properties of bent and almost perfect nonlinear functions [PDF]
, 2021 (Vectorial) Boolean functions play an important role in all domains related to computer science, and in particular, in cryptography. The safety of a cryptosystem is quantified via some characteristics of (vectorial) Boolean functions implemented in it ...
Davidova, Diana
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Linear codes and incidence structures of bent functions and their generalizations [PDF]
Discrete Mathematics, 2020 In this paper we consider further applications of $(n,m)$-functions for the construction of 2-designs. For instance, we provide a new application of the extended Assmus-Mattson theorem, by showing that linear codes of APN functions with the classical ...
W. Meidl, Alexandr A. Polujan, A. Pott
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C-differential bent functions and perfect nonlinearity [PDF]
Discrete Applied Mathematics, 2020 Drawing inspiration from Nyberg's paper~\cite{Nyb91} on perfect nonlinearity and the $c$-differential notion we defined in~\cite{EFRST20}, in this paper we introduce the concept of $c$-differential bent functions in two different ways (thus extending ...
P. Stănică +4 more
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