1 I n t r o d u c t i o n Elliptic curves can be applied to public-key cryptosystems, and as such several schemes have been proposed [3, 4, 5, 6, 9, 11]. There are two typical elliptic curve cryptosystems: E1Gamal-type scheme [4, 11] and RSA-type schemes [3, 5, 6]. The security of the EIGamal-type elliptic curve cryptosystem is based on the difficulty of solving a discrete logarithm over ellipt...

Polypyrrole–hydroxyethylcellulose/TitaniumDioxide (PPy-HEC/TiO2) nanocomposite was synthesized via in situ chemical oxidative polymerization method at room temperature in water and water/ethyl acetate solution in the presence of ferric chloride (FeCl3). The effect of TiO2 nanoparticles and HEC on the characteristics of products such as thermal stability and morphology was investigated. The fabr...

In this study, a reputable Kalina cycle system, KCS 11, is simulated and analysed. Within this efficient cycle, there are three heat exchangers: the first heat exchanger is designated for heat absorption from the heat source, the second heat exchanger is designed for heat release to the cold source, and the third heat exchanger is designed for energy recovery. In order to achieve precise si...

In earlier work, the second named author described how one may extract Darmonstyle L -invariants from modular forms on Shimura curves that are special at p. In this paper, we show that these L -invariants are preserved by the Jacquet–Langlands correspondence. As a consequence, we prove the second named author’s period conjecture in the case where the base field is Q. As a further application of...

We construct three-dimensional families of hyperelliptic curves of genus 6, 12, and 14, two-dimensional families of hyperelliptic curves of genus 3, 6, 7, 10, 20, and 30, and one-dimensional families of hyperelliptic curves of genus 5, 10 and 15, all of which are equipped with an an explicit isogeny from their Jacobian to another hyperelliptic Jacobian. We show that the Jacobians are genericall...

One of the most frequently attempted correlations in Quaternary research is between insolation and paleoclimatic data. Yet there are a large number of insolation time series that could potentially explain a Quaternary dataset, individually or in combination. We computed 342 insolation time series (varying by latitude, time of year and time of day) for fitting to four different paleoclimatic rec...

This paper presents a novel method for designing compact yet efficient hardware implementations of the Tate pairing over supersingular curves in small characteristic. Since such curves are usually restricted to lower levels of security because of their bounded embedding degree, aiming for the recommended security of 128 bits implies considering them over very large finite fields. We however man...

In this study, we investigate the stress-strain curves of reactive powder concrete (RPC) at high strain rates by using SHPB test, the Burgers’ mechanics model and secant-moduli method. The RPC composites are examined at the age of 10 days containing RPC mortar as the matrix, and three volume concentrations, 1%, 2% and 3%, of steel fiber as the inclusion respectively. Strain rates including 1×10...

In this work, we successfully developed electromembrane extraction via preparation of an electrospun flat membrane based on device. The polyurethane-membrane was prepared by electrospinning method and used in EME. Affecting parameters on membrane preparation were optimized by Taguchi design. The developed method was used for extraction of phthalates as typical molecules and the proposed method ...