SYNTHESIS METHOD OF TERNARY BENT-FUNCTIONS OF THREE VARIABLES

New Classes of Ternary Bent Functions from the Coulter-Matthews Bent Functions

It has been an active research issue for many years to construct new bent functions. For k odd with gcd(n, k) = 1, and a ∈ F3n , the function f(x) = Tr(ax 3k+1 2 ) is weakly regular bent over F3n , where Tr(·) : F3n → F3 is the trace function. This is the well-known Coulter-Matthews bent function. In this paper, we determine the dual function of f(x) completely. As a consequence, we find many c...

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

comparison of catalytic activity of heteropoly compounds in the synthesis of bis(indolyl)alkanes.

heteropoly acids (hpa) and their salts have advantages as catalysts which make them both economically and environmentally attractive, strong br?nsted acidity, exhibiting fast reversible multi-electron redox transformations under rather mild conditions, very high solubility in polar solvents, fairly high thermal stability in the solid states, and efficient oxidizing ability, so that they are imp...

semi-analytical solution for static and forced vibration problems of laminated beams through smooth fundamental functions method

در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...

Construction of bent functions from two known bent functions

A (I, -1 )-matrix will be called a bent type matrix if each row and each column are bent sequences. A similar description can be found in Carlisle M. Adams and Stafford E. Tavares, Generating and counting binary sequences, IEEE Trans. Inform. Theory, vol. 36, no. 5, pp. 1170-1173, 1990, in which the authors use the properties of bent type matrices to construct a class of bent functions. In this...