Results 11 to 20 of about 39,386 (253)
ROBUST CODES CREATION BASED ON BENT-FUNCTIONS AND WAVELET TRANSFORMATION [PDF]
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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Bent functions, having the highest possible nonlinearity, are among the best candidates for construction of S-boxes. One problem with bent functions is the fact that they are hard to find among randomly generated set of Boolean functions already for 6 ...
Anna Grocholewska-Czuryło
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Asymptotically Optimal Codebooks Derived From Generalised Bent Functions
Codebooks are required to have small inner-product correlation in many practical applications, such as direct spread code division multiple access communications, space-time codes and compressed sensing.
Qiuyan Wang, Yang Yan
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Hou, Xiang-Dong, Langevin, Philippe
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Decomposing bent functions [PDF]
In a recent paper , it was shown that the restrictions of bent functions to subspaces of codimension 1 and 2 are highly nonlinear. Here, we present an extensive study of the restrictions of bent functions to affine subspaces. We propose several methods which are mainly based on properties of the derivatives and of the dual of a given bent function.
Anne Canteaut, Pascale Charpin
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MIMO CPW-Fed Bent Antenna Based USB Dongle for ECMA-368 WPANs
A multiple-input-multiple-output (MIMO) ultra-wideband (UWB ) printed bent antenna, suitable for MB-OFDM ECMA-368 system integration with the wireless universal serial-bus (WUSB) dongle is proposed.
Y. Beddiafi +3 more
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Using Inclusion / Exclusion to find Bent and Balanced Monomial Rotation Symmetric Functions
There are many cryptographic applications of Boolean functions. Recently, research has been done on monomial rotation symmetric (MRS) functions which have useful cryptographic properties.
Reid Elizabeth M.
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Construction of bent functions from near-bent functions
A function \(f\) from an \(n\)-dimensional vector space \(V_n\) over \(\mathbb{F}_2\) into \(\mathbb{F}_2\) is called bent (near-bent) if its Walsh transform \(\hat{f}(u) = \sum_{x\in V_n}(-1)^{f(x)+\langle u,x\rangle}\) where \(\langle\;,\;\rangle\) denotes any inner product on \(V_n\) takes values in \(\{\pm 2^{n/2}\}\) (\(\{0,\pm 2^{(n+1)/2 ...
Gregor Leander, Gary McGuire
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A SYNTHESIS METHOD OF BASIC TERNARY BENT-SQUARES BASED ON THE TRIAD SHIFT OPERATOR
Practical application of advanced algebraic constructions in modern communication systems based on MC-CDMA (Multi Code Code Division Multiple Access) technology and in cryptography necessitates their further research.
O. N. Zhdanov, A. V. Sokolov
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Partially-bent functions [PDF]
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