[PDF] Top 20 Some results on $q$-ary bent functions

... type bent functions. We provide a construction of quaternary (q = 4) bent functions on n + 1 variables in terms of their subfunctions on ...Boolean functions are defined in the ... See full document

... indicator functions of suitably chosen vector subspaces to the functions in the M class, apart from an explicit subclass denoted by D 0 , the bent conditions in terms of the selection of vector ... See full document

... hyper-bent functions from Boolean functions with the Walsh spectrum taking the same value ...many results on exponential sums can be used in the characterization of hyper-bent ...use ... See full document

... For some special cases, with the help of Kloosterman sums and cubic sums, we determine the characterization for some hyper-bent functions including functions with four, six and ten ... See full document

... The functions achieving the upper bound on nonlinearity are called bent ...All bent functions are also PN and vice versa, that is, these functions have optimal resistance against both ... See full document

... Boolean bent functions with multiple trace ...such bent (n, m)-functions are obtained, ...with some Gold exponents and one class with 2 k−2 Dillon ...Boolean bent ... See full document

... 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 ...general results ... See full document

... Abstract: The main object of this paper is to define a new sublclass of univalent holomorphic functions along with the recently defined q–analogue of Noor operator. We obtained a number of useful properties ... See full document

... proved some results dealing with the ratios of log T (r, f ◦ g) and T (r, f ) under some restrictions on the orders of f and ...the results of Singh [7] for iterated entire functions of ... See full document

... Boolean functions (see for instance [10]). Functions with linear structures are considered as weak for some cryptographic ...hash functions proposed in [1] exploits a similar weakness of the ... See full document

... After that many different methods, including partial fraction expansions, Eulerian beta integrals, summation formulas for generalized hypergeometric functions and contour in- tegrals, have been used to evaluate ... See full document

... deduce results on gamma and q-gamma functions from properties of completely monotonic functions, by applying them to functions related to ψ 0 or ψ 0 q ...obtain some ... See full document

... Boolean bent functions were introduced by Rothaus ...generalized bent functions exist for every value of q and n, except when n is odd and q = 2 mod 4, whereas Boolean ... See full document

... Boolean have wide applications in several areas including coding theory, communication systems and cryptog- raphy, particularly in stream ciphers and block ciphers. The design of conventional cryptographic systems relies ... See full document

... definition of GBF in 1985 [10], it is almost thirty years and there is no GBF constructed in the case [n, q] with n odd and q ≡ 2 mod 4. It is believed that no such GBF exists. Although Feng and some ... See full document

... the q, k- generalized Gamma function, and also in [10], Krasniqi and Merovci defined the p, q-generalized Gamma ...establish some properties and also inequalities concerning ratios of these ... See full document

... obtain some important results about the uniqueness of specific q-shift difference polynomials of meromorphic functions by Nevanlinna and value distribution theory and extend previous ...on ... See full document

... Boolean functions with respect to the action of uni- tary transforms obtained by taking tensor products of the Hadamard kernel, denoted by H , and the nega– Hadamard kernel, denoted by ... See full document

... This note is organized as follows. Formal definitions and necessary preliminaries are introduced in Section 2. In Section 3, we recall previous methods used in [26] and [27] on the constructions of binary bent ... See full document

... (p, q)- Fibonacci and Lucas polynomials, and one can discover from Property ...(p, q)-Fibonacci and Lucas polynomials can be defined for negative indices ... See full document