Results 31 to 40 of about 12,156,906 (329)

Decomposing bent functions [PDF]

open access: yesIEEE Transactions on Information Theory, 2003
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
openaire   +1 more source

MIMO CPW-Fed Bent Antenna Based USB Dongle for ECMA-368 WPANs

open access: yesAdvanced Electromagnetics, 2021
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
doaj   +3 more sources

Asymptotically Optimal Codebooks Derived From Generalised Bent Functions

open access: yesIEEE Access, 2020
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
doaj   +1 more source

Results on Bent Functions

open access: yesJournal of Combinatorial Theory, Series A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Xiang-Dong, Langevin, Philippe
openaire   +1 more source

Using Inclusion / Exclusion to find Bent and Balanced Monomial Rotation Symmetric Functions

open access: yesJournal of Mathematical Cryptology, 2021
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.
doaj   +1 more source

A SYNTHESIS METHOD OF BASIC TERNARY BENT-SQUARES BASED ON THE TRIAD SHIFT OPERATOR

open access: yesСистемный анализ и прикладная информатика, 2017
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
doaj   +1 more source

Partially-bent functions [PDF]

open access: yesDesigns, Codes and Cryptography, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the q-bentness of Boolean functions [PDF]

open access: yesDesigns, Codes and Cryptography, 2018
For each non-constant $q$ in the set of $n$-variable Boolean functions, the {\em $q$-transform} of a Boolean function $f$ is related to the Hamming distances from $f$ to the functions obtainable from $q$ by nonsingular linear change of basis. Klapper conjectured that no Boolean function exists with its $q$-transform coefficients equal to $\pm 2^{n/2}$ (
Zhixiong Chen 0002   +2 more
openaire   +3 more sources

On the Duals of Generalized Bent Functions

open access: yesIEEE Transactions on Information Theory, 2022
In this paper, we study the dual of generalized bent functions $f: V_{n}\rightarrow \mathbb{Z}_{p^k}$ where $V_{n}$ is an $n$-dimensional vector space over $\mathbb{F}_{p}$ and $p$ is an odd prime, $k$ is a positive integer. It is known that weakly regular generalized bent functions always appear in pairs since the dual of a weakly regular generalized ...
Jiaxin Wang 0001, Fang-Wei Fu 0001
openaire   +3 more sources

Network-Based Analysis to Identify Hub Genes Involved in Spatial Root Response to Mechanical Constrains

open access: yesCells, 2022
Previous studies report that the asymmetric response, observed along the main poplar woody bent root axis, was strongly related to both the type of mechanical forces (compression or tension) and the intensity of force displacement. Despite a large number
Anastazija Dimitrova   +3 more
doaj   +1 more source

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