Bent function
Algebraic normal form of a bent function: properties and restrictions
... a bent function in every case. So, the function equal to the sum of the quadratic function from the second column and cubic function from the third column of the table is always ...
17
On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees
... symmetric bent functions in particular, are ...symmetric bent functions is proposed by modifying the support of the quadratic rotation symmetric bent function f 0 in ...
11
A note on generalized bent criteria for Boolean functions
... a bent function and c ⊥ is a subspace of codimension 1, by Lemma 7 the restrictions of f on c ⊥ and its remaining coset are semi–bent and their Walsh-Hadamard spectra are ...
6
The group of automorphisms of the set of self-dual bent functions
... each bent function, its dual bent function is uniquely ...dual bent functions one can find in work [3]. A bent function that coincides with its dual is called ...
17
New results on nonexistence of generalized bent functions
... a bent function (for q = 2) was presented by Rothaus [15] in 1976, and generalized by Kumar et ...nonlinearity, bent functions draw much at- tention and are widely ...capacity. Bent sequences ...
13
An analysis of the $C$ class of bent functions
... the bent conditions in terms of the selection of vector subspaces and permutations (used to define the initial function in M) are rather hard to ...construct bent functions in the C class, but such ...
20
On the Primary Constructions of Vectorial Boolean Bent Functions
... monomial bent functions are given, which imply answers to one open problem proposed by ...monomial bent function T r 1 n (ax d ), we present several conditions which are much closer to the sufficient ...
43
The graph of minimal distances of bent functions and its properties
... [17]. Bent functions have a lot of applications in algebra, combinatorics, coding theory, cryptography, see ...concerning bent function, for example, see ...
17
A note on constructions of bent functions from involutions
... A bent function is a Boolean function with an even number of variables which achieves the maximum possible ...ciphers), bent functions have attracted a lot of research for four ...definition, ...
14
A new class of hyper-bent functions and Kloosterman sums
... the characterization in terms of the number of rational points on hyper-elliptic curves. Hence, this paper extends the work of Lisonek [20] and Flori, Mesnager [11], [12]. Generally, character sums with few properties ...
21
New Constructions of Low Correlation Sequences with High Linear Complexity
... similar-bent function and we present two general methods to construct balanced sequences with low correlation by using similar-bent functions and orthogonal similar-bent ...the bent ...
12
EXPERIMENTAL INVESTIGATION OF REINFORCEMENT COUPLERS AS REPLACEMENT OF BENT BAR
... ◦ bent hook followed as per ACI-318 (2011) is designated as detail-B and the specimen with full anchorage followed as per IS-456 (2000) is designated as ...
13
More PS and H-like bent functions
... all bent functions (or more practically, classifying them under the action of the general affine group) being out of reach, several constructions of bent functions have been investigated, which lead to ...
12
Correlation between the Microstructure of Dual Phase Steel and Industrial Tube Bending Performance
... During the experimental work at VariForm, three rotary draw bending tests with different bend ratios were conducted as shown in Table 8. This would seem to indicate that each steel grade has a minimum bend ratio; so that ...
137
Productivity and Ergonomic Investigation of Bent-Handle Pliers.
... all bent-handle ...60º bent-handle design being most preferred in both cases, followed by the 50º and 70º ...60º bent-handle file demonstrates superior results compared to the straight-handle file, ...
97
Constructing Infinite Families of Low Differential Uniformity $(n,m)$-Functions with $m>n/2$
... balanced function as S-box obliges to complexity the structure of the cipher (see ...also bent, and such bent functions do not exist when m > k ≥ ...
22
Some results on $q$-ary bent functions
... generalized bent functions exist for every value of q and n, except when n is odd and q = 2 mod 4, whereas Boolean bent functions exist only for even ...of bent functions in the generalized setup and ...
11
Flexoelectricity in an oxadiazole bent-core nematic liquid crystal
... the bent-core liquid crystal by combining density functional theory (DFT) calculations with a molecular field approach and atomistic ...for bent-core ...in bent-core liquid ...
5
Bent-Shaped Molecules with Terminal Trimethylsilyl Group: Synthesis and
... columnar) whereas the other members hard to exhibit mesomorphism. This investigation evidenced that the elimination of mesophases due to insufficient requirements of LC molecules. This would mean that the polar cyano, ...
7
Seismic Performance of Steel Bridge Bent Welded Connections.
... The objective of test 1 was to assess the behavior of a bent that was designed and built using the best ‘current-practice’ of AKDOT. From the typical drawings obtained from AKDOT, it was determined that a fillet ...
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