In this paper we investigate properties of generalized bent Boolean functions and 2-bent (i.e., negabent, octabent, hexadecabent, et al.) Boolean functions in a uniform framework. We generalize the work of Stǎnicǎ et al., present necessary and sufficient conditions for generalized bent Boolean functions and 2-bent Boolean functions in terms of classical bent functions, and completely characteri...

In this paper we characterize (octal) bent generalized Boolean functions defined on Z2 with values in Z8. Moreover, we propose several constructions of such generalized bent functions for both n even and n odd.

A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of the form f(x) = tr(α1x1 + α2x2), α1, α2, x ∈ F2n , are considered, where the exponents di (i = 1, 2) are of Niho type, i.e. the restriction of xi on F2k is linear. We prove for d1 = 2 + 1 and d2 = 3 · 2k−1 − 1, d2 = 2 ...

In this paper we study the lower bounds of second-order nonlinearities of bent functions constructed by modifying certain cubic Maiorana-McFarland type bent functions.

In this paper, we first present a new secondary construction of bent functions (building new bent functions from two already defined ones). Furthermore, we apply the construction using as initial functions some specific bent functions and then provide several concrete constructions of bent functions. The second part of the paper is devoted to the constructions of resilient functions. We give a ...

BACKGROUND Salvia divinorum is a member of the Lamiaceae family and contains the psychotropic diterpene and kappa-opioid receptor agonist salvinorin-A. Originally a shamanic inebriant used by the Mexican Mazatec Indians, the plant and its preparations are becoming increasingly popular among non-traditional users. METHODS Demographic data and information on pattern of use and subjective effect...

The study designed to evaluate the protective effect of Salvia officinalis (SO) water extract against OVAinduced asthma in mice. The OVA-induced asthmatic mice exhibited significant increase in total leukocytes count, IL-4 and IL-5 levels in bronchoalveolar lavage fluid (BALF) and eosinophils count in (BALF), in addition, to the serum total IgE level. Pathological changes in the lung were evalu...

The active ingredients of salvia (dried root of Salvia miltiorrhiza) include both lipophilic (e.g., tanshinone IIA, tanshinone I, cryptotanshinone and dihydrotanshinone I) and hydrophilic (e.g., danshensu and salvianolic acid B) constituents. The low oral bioavailability of these constituents may limit their efficacy. A solid self-microemulsifying drug delivery system (S-SMEDDS) was developed t...

This paper considers the bent and hyper-bent properties of a class of Boolean functions. For one case, we present a detailed description for them to be hyper-bent functions, and give a necessary condition for them to be bent functions for another case. Keywords—Boolean functions, bent functions, hyper-bent

Salvia hypoleuca is used in Iranian traditional medicine as an agent for treatment of some diseases and troubles. In this study, attention was focused on the antioxidant effect of Salvia hypoleuca. The aim of the present study was to determine the effects of Salvia hypoleuca extract on Endotoxin-Induced Uveitis (EIU) in rats. In addition, the endotoxin-induced expression of the inducible nitric...