Very recently, a new concept called multiplicative differential and the corresponding c-differential uniformity were introduced by Ellingsen et al. (IEEE Trans. Inform. Theory 66(9), 5781–5789 2020). A function F(x) over finite field GF(pn) to itself is said have δ, or equivalent, differentially (c,δ)-uniform, when maximum number of solutions x ∈GF(pn) F(x + a) − cF(x) = b, a,b,c ∈GF(pn), c≠ 1 ...

We define algebras of triple semigroup and DeMorgan triple semigroup and by defining three Mann’s compositions and one unary operation on the set of 3-place(ternary) functions over some set, we construct a DeMorgan triple semigroup of 3-place (ternary) functions and so find an abstract characterization of this algebras.

We propose a cluster-based quantization method to convert pre-trained full precision weights into ternary weights with minimal impact on the accuracy. In addition we also constrain the activations to 8-bits thus enabling sub 8-bit full integer inference pipeline. Our method uses smaller clusters of N filters with a common scaling factor to minimize the quantization loss, while also maximizing t...

This paper presents effective design of ternary ALU using Carbon Nano tube Field effect transistor (CNTFET) atv32 nm technology. Ternary logic is possible substitutes to traditional binary logic, because more number operation can performed using ternary logic as compare to binary logic due to this possible to achieve simplicity and energy efficient inrecent digital logic design due to reduced c...

SUMMARY Curitiba's bus system was developed as an integral part of an overall master plan whose basic objectives included radial expansion of the city along five corridors (structural axes), integrating land use and transport, and protecting the traditional city center. The median busways in each corridor are in the center of a " trinary " road system (busway, local street, one-way arterial). D...

Energy inefficiency in irreversible logic circuits is creating an obstruction on the path towards continued advancements in complexity and reductions in the size of today’s computer systems. Designing the component circuits in a reversible manner may offer a possible solution to this crisis, allowing significant reductions in power consumption and heat dissipation requirements. Multi-valued (MV...

In this paper we study the state complexity of catenation combined with symmetric difference. First, an upper bound is computed using some combinatoric tools. Then, this bound is shown to be tight by giving a witness for it. Moreover, we relate this work with the study of state complexity for two other combinations: catenation with union and catenation with intersection. And we extract a unifie...