Results 1 to 10 of about 39,226 (158)
Special bent and near-bent functions
Advances in Mathematics of Communications, 2014 Starting from special near-bent functions in dimension 2t-1 we construct bent functions in dimension 2t having a specific derivative.
Jacques Wolfmann
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REGULAR METHOD FOR SYNTHESIS OF BASIC BENT-SQUARES OF RANDOM ORDER
Наука и техника, 2016 The paper is devoted to the class construction of the most non-linear Boolean bent-functions of any length N = 2k (k = 2, 4, 6…), on the basis of their spectral representation – Agievich bent squares.
A. V. Sokolov
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There Are Infinitely Many Bent Functions for Which the Dual Is Not Bent [PDF]
IEEE Transactions on Information Theory, 2016 Bent functions can be classified into regular bent functions, weakly regular but not regular bent functions, and non-weakly regular bent functions. Regular and weakly regular bent functions always appear in pairs since their duals are also bent functions. In general this does not apply to non-weaky regular bent functions.
Ayça Çeşmelioğlu +2 more
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An Algorithm for Constructing Support of Bent Functions by Extending a Set [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 Boolean functions form the fundamental components of symmetric cryptographic systems, serving as the building blocks. Modifying bent functions makes it feasible to design Boolean functions with desired properties that exhibit high non-linearity.
Joseph Nelson +2 more
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Spline-wavelet bent robust codes [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2021 The paper examines the application and properties of bent functions of various degrees to construct R-robust codes with a spline wavelet grid for the protection against side-channel attacks.
Alla B. Levina, Gleb A. Ryaskin
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Further constructions of bent functions and their duals
IET Information Security, 2021 In 2012, Carlet et al. developed two secondary constructions of bent functions (Advances in Mathematics of Communications, 6: 305‐314) and proposed some applications for their constructions.
Yanjun Li +4 more
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Robust Code Constructions Based on Bent Functions and Spline Wavelet Decomposition
Mathematics, 2022 The paper investigates new robust code constructions based on bent functions and spline–wavelet transformation. Implementation of bent functions in code construction increases the probability of error detection in the data channel and cryptographic ...
Alla Levina, Gleb Ryaskin
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Computers, 2023 Recently, balanced Boolean functions with an even number n of variables achieving very good autocorrelation properties have been obtained for 12≤n≤26. These functions attain the maximum absolute value in the autocorrelation spectra (without considering ...
Erol Özçekiç +2 more
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Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(
IEEE Access, 2022 Orthogonal sequences can be assigned to a regular tessellation of hexagonal cells, typical for synchronised code-division multiple-access (S-CDMA) systems.
Chunlei Xie +2 more
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ROBUST CODES CREATION BASED ON BENT-FUNCTIONS AND WAVELET TRANSFORMATION [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2018 Subject of Research. This paper presents an application of wavelet transformation and bent-functions in the creation of non-linear robust codes. The usage of wavelet decompositions gives the possibility to create a large number of different designs of ...
Levina A.B., Ryaskin G.A.
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