In this paper, several methods for constructing substitution boxes (S-boxes) with good cross-correlation properties are proposed. We firstly analyze the cross-correlation properties of bent functions and derive a sufficient condition that the absolute indicator f ,g of two bent functions f and g achieve its lowest possible value 2 n/2. More precisely, it is sufficient that f + g is also a bent ...

A difficult task in the theory of bent functions is to determine whether a bent function is equivalent to its dual bent function. In this paper we use certain results on the divisibility of Gauss Sums, mainly Stickelberger’s Theorem, to study monomial bent functions. We find the degree of the dual bent function of the Kasami function, which in general is different from the degree of the Kasami ...

a r t i c l e i n f o a b s t r a c t Keywords: Cryptography Boolean functions Bent functions Multiple output Monomial trace functions In this article we investigate the possibilities of obtaining multiple output bent functions from certain power polynomials over finite fields. So far multiple output bent functions F : GF(2) n → GF(2) m (where n is even and m n/2), for any particular class of B...

Boolean bent functions were introduced by Rothaus (1976) as combinatorial objects related to difference sets, and have since enjoyed a great popularity in symmetric cryptography and low correlation sequence design. In this paper direct links between Boolean bent functions, generalized Boolean bent functions (Schmidt, 2006) and quaternary bent functions (Kumar, Scholtz, Welch, 1985) are explored...

Arc-shaped forceps are important in pharyngeal cancer surgery, endoscopic sinus surgery, and single port surgery. Rotating the gripper of an arc-shaped forceps with respect to its shaft axis can improve the manipulability of the forceps. Concentric pipe structures consisting of inner and outer pipes are often used for this purpose. The inner pipe transmits rotations from its proximal end to dis...

Coronary stents are the most important supports in present day cardiology. Flexibility and trackability are two basic features of stents. In this paper, four different balloon-expandable coronary stent systems were investigated mechanically in order to compare their suitability. The coronary stent systems were assessed by measurements of stent flexibility as well as by comparison of forces duri...

Vectorial Boolean bent functions, which possess the maximal nonlinearity and the minimum differential uniformity, contribute to optimum resistance against linear cryptanalysis and differential cryptanalysis for the cryptographic algorithms that adopt them as nonlinear components. This paper is devoted to the new primary constructions of vectorial Boolean bent functions, including four types: ve...

In this work, the normality of bent functions in odd characteristic is analysed. It turns out that differently to Boolean bent functions, many also quadratic bent functions in odd characteristic and even dimension are not normal. It is shown that regular Coulter-Matthews bent functions are normal.

Boolean functions used in cryptosystems are required to have good cryptographic properties, such as balancedness, high nonlinearity and high algebraic degree, to ensure the systems are resistant against linear cryptanalysis ([2]). Besides, it is a desirable property that a Boolean function has 3-valued spectra. This property provides a protection against the soft output joint attack ([3]). A fr...