Basic logic gates and their operations in ternary quantum domain are involved in the synthesis of ternary quantum circuits. Only a few works define ternary algebra for ternary quantum logic realization. In this paper, a ternary logic function is expressed in terms of projection operations including a new one. A method to realize new multi-qutrit ternary gates in terms of generalized ternary gat...

In 1963, the Dutch mathemetician F.J.M. Barning described an infinite, planar, ternary tree whose nodes are just the set of Primitive Pythagorean triples. Seven years later, A. Hall independently discovered the same tree. Both used the method of uni-modular matrices to transform one triple to another. A number of rediscoveries have occurred more recently. The purpose of this article is to annou...

In this paper we propose an efficient and regular ternary algorithm for scalar multiplication on elliptic curves over finite fields of characteristic three. This method is based on full signed ternary expansion of a scalar to be multiplied. The cost per bit of this algorithm is lower than that of all previous ones.

We investigate the key management problem for broadcasting applications. Previous work showed that batch rekeying can be more cost-effective than individual rekeying. Under the assumption that every user has probability p of being replaced by a new user during a batch rekeying period, we study the structure of the optimal key trees. Constant bounds on both the branching degree and the subtree s...

In this paper, we propose novel representation of binary trees, named the balanced ternary-tree representation. We examine flexible division of binary trees in which we can divide a tree at any node rather than just at the root, and introduce the ternary-tree representation for the flexible division. Due to the flexibility of division, for any binary tree, balanced or ill-balanced, there is alw...

Given an epimorphism φ: Π → Π' between projective planes Π and Π', it is an open question how the groups of projectivities of Π and Π' (regarded as permutation groups on projective lines) are related. Within this note we will not answer this sophisticated and hard problem in full, but we will address the question to which extend the projectivities of Π induce permutations on the lines of Π ' wh...

Let E1 be the near hexagon on 729 points related to the extended ternary Golay code. We prove in an entirely geometricway that the generating and embedding ranks ofE1 are equal to 24. We also study the structure of the universal embeddinge of E1. More precisely, we consider several nice subgeometries A of E1 and determine which kind of embeddingeA is, whereeA is the embedding of A induced by...

In this paper we introduce the notions of pure ideals, weakly pure ideals in ternary semigroups. We also de ne purely prime ideals of a ternary semigroup and study some properties of these ideals. The space of purely prime two-sided ideal is topologized.

Superior electronic properties of graphene make it a substitute candidate for beyond-CMOSnanoelectronics in electronic devices such as the field-effect transistors (FETs), tunnel barriers, andquantum dots. The armchair-edge graphene nanoribbons (AGNRs), which have semiconductor behavior,are used to design the digital circuits. This paper presents a new design of ternary half a...

Experimental data on angular distributions of γ rays emitted from binary and ternary spontaneous fission of 252 Cf are analyzed. Their difference indicates that the alignment of fragments is higher in ternary fission than in binary one. The consequences of possible relation between the mechanism of ternary fission and the excitation of collective modes during the saddle-to-scission stage are di...