We introduce a new public-key cryptosystem with tractable rational maps. As an application of abstract algebra and algebraic geometry to cryptography, TRMC (Tractable Rational Map Cryptosystem) has many superior properties including high complexity, easy implementation and very fast execution. We describe the principles and implementation of TRMC and analyze its properties. Also, we give a brie...

Abstract. We introduce a new public-key cryptosystem with tractable rational maps. As an application of abstract algebra and algebraic geometry to cryptography, TRMC (Tractable Rational Map Cryptosystem) has many superior properties including high complexity, easy implementation and very fast execution. We describe the principles and implementation of TRMC and analyze its properties. Also, we g...

The intrinsic charge carrier transporting properties of two isomeric linear- and bent-shaped 7-ring benzo-fused thieno[3,2-b] thiophenes and their octyl-substituted analogues were newly investigated using flash-photolysis (FP-) and field-induced (FI-) time-resolved microwave conductivity (TRMC) techniques. FP-TRMC study in the solid state revealed that octyl-substitution potentially improved th...

Charge-carrier recombination dynamics after laser excitation are investigated by time-resolved microwave conductivity (TRMC) measurements of quantum-sized (Q-) TiO, , Fell'-doped Q-TiO, , ZnO and CdS, and several commercial bulk-sized TiO, samples. After pulsed laser excitation of charge carriers, holes that escape recombination react with sorbed trans-decalin within ns while the measured condu...

Double perovskites, comprising two different cations, are potential nontoxic alternatives to lead halide perovskites. Here, we characterized thin films and crystals of Cs2AgBiBr6 by time-resolved microwave conductance (TRMC), which probes formation and decay of mobile charges upon pulsed irradiation. Optical excitation of films results in the formation of charges with a yield times mobility pro...

Recently a new class of schemes, called Time Relaxed Monte Carlo (TRMC) has been introduced for the numerical solution of the Boltzmann equation of gas dynamics. The motivation is to propose a systematic framework to derive Monte Carlo methods effective near the fluid dynamic regime. Before the methods can be accepted as alternative tools to other methods, they have to show that they are able t...

Abstract. A new class of schemes of the DSMC type for computing near-continuum flows has been recently suggested: the time-relaxed Monte Carlo (TRMC) methods. An important step preceding the wide use of these schemes is their validation by classical homogeneous and one-dimensional problems of gas dynamics. For this purpose, a plane Couette flow is considered in the present paper. A comparison o...

Au, Cu and bimetallic Au-Cu nanoparticles were synthesized on the surface of commercial TiO2 compounds (P25) by reduction of the metal precursors with tetrakis (hydroxymethyl) phosphonium chloride (THPC) (0.5 % in weight). The alloyed structure of Au-Cu NPs was confirmed by HAADF-STEM, EDS, HRTEM and XPS techniques. The photocatalytic properties of the modified TiO2 have been studied for phenol...

Photoinduced interfacial charge carrier generation, separation, trapping, and recombination in TiO2 In2S3 CuInS2 cells have been studied with time-resolved microwave conductivity TRMC . Single layer, double layer, and complete triple layer configurations have been studied. Selective electronic excitation in one of the components is accomplished by using monochromatic pulsed laser excitation. In...

The X-ray crystal structure of 1-(3-methoxy-carbonyl)-propyl-1-thienyl-[6,6]-methanofullerene (ThCBM) was determined and the electron mobility of the single crystal was measured using a TRMC method to reveal high electron mobility (2 cm(2) V(-1) s(-1)) along the long axis (a-axis) and its remarkable anisotropy (7 times).