[PDF] Top 20 Secondary constructions on generalized bent functions
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Secondary constructions on generalized bent functions
... construct generalized bent Boolean func- tions in n + 2 variables from 4 generalized Boolean functions in n vari- ...two generalized bent Boolean functions is ... See full document
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Second Order Nonlinearities of Some Classes of Cubic Boolean Functions Based on Secondary Constructions
... Abstract- The higher order nonlinearity of a Boolean function is a cryptographic criterion, which play a role against attacks on stream and block ciphers. Also it play a role in coding theory, since it is related to the ... See full document
6
On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees
... symmetric bent functions for any even integer ...symmetric bent functions can have any possible algebraic degree ranging from 2 to ...symmetric bent functions of algebraic degree ... See full document
11
Some results on $q$-ary bent functions
... such generalized Maiorana- McFarland (GMMF) type bent ...4) bent functions on n + 1 variables in terms of their subfunctions on ...Boolean functions are defined in the ... See full document
11
Bent and Semi-bent Functions via Linear Translators
... Boolean functions to get Boolean functions with optimal or very high ...primary constructions of bent and semi-bent functions from Boolean maps having linear structures or linear ... See full document
18
An analysis of the $C$ class of bent functions
... print, bent functions appear in a preprint of Dillon from 1972, and in his ...of bent functions found by Dillon is known as Partial Spread (PS) class, and a subclass known as PS ap allows an ... See full document
20
More PS and H-like bent functions
... of bent functions are derived from the notion of ...designing bent functions which are constant (except maybe at 0) on each of the m-dimensional subspaces of F 2 2m belonging to a partial ... See full document
12
A new class of hyper-bent functions and Kloosterman sums
... functions with character sums. Further, we reformulate this characterization in terms of the number of points on hyper-elliptic curves. For some special cases, with the help of Kloosterman sums and cubic sums, we ... See full document
21
Universal Forgery and Multiple Forgeries of MergeMAC and Generalized Constructions
... scenario comes from the fact that some of the components at play are also con- nected to the Internet, creating remote attack opportunities. The MAC construc- tion proposed by Ankele et al. is based on 3 components: 2 ... See full document
22
Additive autocorrelation of some classes of cubic semi-bent Boolean functions
... [12] generalized these classes of cubic Boolean functions with more than one trace terms and deduced the lower bounds on second-order nonlineari- ...semi-bent functions whose upper bounds on ... 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 ones that ... See full document
12
On second-order nonlinearity and maximum algebraic immunity of some bent functions in $\cP S^+$
... Boolean functions to resist this kind of attack, has been introduced and studied in [2, 11, 3, 14, 15, ...Several constructions of Boolean functions with optimal algebraic immunity were found ... See full document
10
New results on nonexistence of generalized bent functions
... Rothaus proved that there exists a bent function of type [n, 2] if and only if n is even. Later, Kumar et al. constructed a GBF for all cases of even n or q ̸≡ 2 (mod 4). There are many materials about the ... See full document
13
On the Primary Constructions of Vectorial Boolean Bent Functions
... Boolean functions, which are widely used in block ciphers, stream ciphers and Hash functions, paly an important role in ...Boolean functions as nonlinear components, usually depends on the ... See full document
43
A note on constructions of bent functions from involutions
... Bent functions are maximally nonlinear Boolean ...important functions introduced by Rothaus and studied firstly by Dillon and next by many re- searchers for four ...of bent functions ... See full document
14
A note on generalized bent criteria for Boolean functions
... is a generalization of the connection between bent and negabent function proved by Parker and Pott [3]. It is observed that if the absolute value of an entry in the spectrum of a function with respect to a ... See full document
6
New cryptographic constructions using generalized learning with errors problem
... The Learning with Errors (LWE) problem, introduced by Regev in 2005 [4], and its extension, Ring Learning with Errors (RLWE) problem have attracted a lot of attentions in theory and applications due to its usage in ... See full document
8
Generalized Invariant Monotonicity and Generalized Invexity of Nondifferentiable Functions
... on generalized invexity and generalized invex monotonicity obtained in 4–6 are studied in n-dimensional Euclidean ...for generalized invexity and generalized invex ...of functions and ... See full document
16
A note on generalized convex functions
... holds for all a, b ∈ I and λ ∈ (0, 1). Ψ is said to be concave if inequality (1.1) is reversed. It is well known that the convexity theory has wide applications in special functions [1–30], differential equations ... See full document
10
The Meijer transformation of generalized functions
... In 3.1 if ft is a regular generalized function see Remark 2.1 then we obtain the classical Meijer transform.. transform in 3.1 for..[r] ... See full document
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