Based on a generic construction, two classes of ternary three-weight linear codes are obtained from a family of power functions, including some APN power functions. The weight distributions of these linear codes are determined through studying the properties of some exponential sum related to the proposed power functions. Index Terms linear code, weight distribution, exponential sum, quadratic ...

In this work, we determined thermophysical properties such as electrical conductivity and refractive index for 1-propyl-3-methylimidazolium bromide, [PrMIm]Br in ternary mixtures of [PrMIm]Br + ethylene carbonate + water at T = (298.2, 308.2 and 318.2) K and 0.1MPa. Conductometric measurements were carried out for [PrMIm]Br ionic liquid in ethylene carbonate + water solvent mixture in various c...

in a ternary semihyperring, addition is a hyperoperation and multiplicationis a ternary operation. indeed, the notion of ternary semihyperringsis a generalization of semirings. our main purpose of this paper is to introducethe notions of fuzzy hyperideal and fuzzy bi-hyperideal in ternary semihyperrings.we give some characterizations of fuzzy hyperideals and investigateseveral kinds of them.

An MOS ternary-logic family is proposed, which is comprised of a set of inverters, NOR gates, and NAND gates. These gates are used to design basic ternary arithmetic and memory circuits. The circuits thus obtained are then used to synthesize complex ternary arithmetic circuits and shift registers. The ternary circuits developed are shown to have some significant advantages relative to other kno...

In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$eta mu fleft(frac{x+y}{eta}+zright) = f(mu x) + f(mu y) +eta f(mu z)$$ for all $mu in mathbb{S}:= { lambda in mathbb{C} : |lambda | =1}$ and for any fixed positive integer $eta geq 2$ on $C^*$-ternary algebras by using fixed poind alternat...

We consider the state complexity of basic operations on non-returning regular languages. For a non-returning minimal DFA, the start state does not have any in-transitions. We establish the precise state complexity of four Boolean operations (union, intersection, difference, symmetric difference), catenation, reverse, and Kleene-star for non-returning regular languages. Our results are usually s...

In the present work, ternary special quasirandom structures SQSs for a fcc solid solution phase are generated at different compositions, xA=xB=xC= 1 3 and xA= 1 2 , xB=xC= 1 4 , whose correlation functions are satisfactorily close to those of a random fcc solution. The generated SQSs are used to calculate the mixing enthalpy of the fcc phase in the Ca-Sr-Yb system. It is observed that first-pri...

s of the Talks 7 Probabilistic Analysis of Large Finite State Machines F. Somenzi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 On Improving OBDD-Based Verification in a Synthesis Environment W. Kunz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 On Computing the Maximum Power Cycle of Sequential Circuits A. Pardo . . . . . . . . . . . . . . . . . . . . . . . ...

1. Let T be a ternary ring with the ternary operation T(a, b, c) and the distinguished elements 0, 1 (see [4]). On T, two loop structures can be defined by means of the binary operations a+b = T(a, 1, b) and ab=T(a, b, 0). The resulting loops are called the additive and the multiplicative loop of Ty respectively. Together with a0 = 0a = 0 they define the structure of a double loop on T, which s...