[PDF] Top 20 A new class of hyper-bent functions and Kloosterman sums
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A new class of hyper-bent functions and Kloosterman sums
... this class of Boolean ...some hyper-bent functions via Dillon-like exponent (including quadrinomial function, functions with six trace terms and ten trace terms) with cubic sums ... See full document
21
Linear codes with few weights from weakly regular bent functions based on a generic construction
... from bent functions in arbitrary characteristic based on the generic construction of type ...from functions which have been highlighted by Ding in [17] and focus on one of ...a new ... See full document
20
A note on hyper-bent functions via Dillon-like exponents
... In Section 2, we provide some background on the different objects we manipulate in the following sections, namely Boolean functions, Walsh-Hadamard transform, Dickson polynomials, exponential sums.Section 3 and 4 ... See full document
31
On the Primary Constructions of Vectorial Boolean Bent Functions
... Boolean bent functions, which possess the maximal nonlinearity and the minimum differential uniformity, contribute to optimum resistance against linear crypt- analysis and differential cryptanalysis for the ... See full document
43
Constructing Vectorial Boolean Functions with High Algebraic Immunity Based on Group Decomposition
... properties, Bent functions have drawn more and more attention in designing cryptographic ...sub- class of Bent functions with even better cryptographic properties, which was named as ... See full document
12
On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees
... Boolean functions that are invariant under the action of cyclic rotation on the inputs are called rotation symmetric functions ...Such class of Boolean functions is of great interest since ... See full document
11
Classification of quadratic APN functions with coefficients in GF(2) for dimensions up to 9
... (APN) functions were introduced by Nyberg [25] as the class of (n, n)-functions of- fering optimal resistance to differential cryptanalysis, while almost bent (AB) functions are the ... See full document
12
Bent and Semi-bent Functions via Linear Translators
... Boolean functions to get Boolean functions with optimal or very high ...of bent and semi-bent functions from Boolean maps having linear structures or linear translator in Sections 3, 4 ... See full document
18
Univalent Functions Formulated by the Salagean-Difference Operator
... Ibrahim, New classes of analytic functions determined by a modified differential-difference operator in a complex domain, Karbala Int.. Farahmand, Partial sums of functions of bounded tu[r] ... See full document
7
Dickson polynomials, hyperelliptic curves and hyper-bent functions
... Hyper-bent functions were defined by Youssef and Gong [26] in 2001 and are both of theoretical and practical ...such functions are rare, and so interesting from a combinatorial point of view: ... See full document
12
Constructing hyper-bent functions from Boolean functions with the Walsh spectrum taking the same value twice
... characterize hyper-bent functions from Boolean functions with the Walsh spectrum taking the same value ...exponential sums can be used in the characterization of ... See full document
12
The graph of minimal distances of bent functions and its properties
... Bent functions are Boolean functions in even number of variables that have maximal possible ...[17]. Bent functions have a lot of applications in algebra, combinatorics, coding theory, ... See full document
17
Almost sure central limit theorem for products of sums of partial sums
... positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.. MSC: 60F[r] ... See full document
12
An analysis of the $C$ class of bent functions
... print, bent functions appear in a preprint of Dillon from 1972, and in his ...The class of bent functions found by Dillon is known as Partial Spread (PS) class, and a subclass ... See full document
20
Secondary constructions on generalized bent functions
... generalized bent Boolean func- tions in n + 2 variables from 4 generalized Boolean functions in n vari- ...generalized bent Boolean functions is generalized ...affine functions in which ... See full document
9
A new sub class of meromorphically convex functions with negative and fixed second coefficients
... “A A new sub class of meromorphically convex functions with negative and fixed second coefficients coefficients”, International Journal of Current Research, 9, 05, 51141-51148... denot[r] ... See full document
8
On a new class of convex functions and integral inequalities
... a new extension of convexity called σ -convexity. We show that the class of σ -convex functions includes several other classes of convex ...Some new integral inequalities of Hermite–Hadamard ... See full document
14
A new class of modular equation for Weber functions
... Similarly in the case that m ≡ 3 (mod 4) we choose the polynomial F such that every monomial has the same value for a+b (mod 3), except when m ≡ 2 (mod 3), in which case we can let a and b be arbitrary natural numbers. ... See full document
15
Series of sums of products of higher order Bernoulli functions
... of sums of products of Bernoulli ...of functions given by sums of products of higher-order Bernoulli functions and derive their Fourier series ... See full document
16
New inequalities for a class of differentiable functions
... In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities related to Chebyshev’s functional in the case of two differentiable functions[r] ... See full document
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