Elliptic curves over the ring Z / n Z where R is the product of two large primes have first been proposed for public key cryptosystems in [4]. The security of this system is based on the integer factorization problem, but it is unknown whether breaking the system is equivalent to factoring. In this paper, we present a variant of this cryptosystem for which breaking the system is equivalent to f...

AIM Arterial wall elasticity including the circumferential and longitudinal modulus is a measure of sub-clinical cardiovascular disease; the circumferential modulus is increased in acute ischemic stroke (AIS). There are still no reports of non-invasive measurement of longitudinal elastic modulus of arterial wall and its prospect of clinical application. In this study, the longitudinal elastic m...

Numerical modelling techniques are not new for mining industry and civil engineering projects anymore. These techniques have been widely used for rock engineering problems such as stability analysis and support design of roadways and tunnels, caving and subsidence prediction, and stability analysis of rock slopes. Despite the significant advancement in the computational mechanics and availabili...

Based on the measured impedance of dielectrics an equivalent high frequency (0 Hz - 500 MHz) circuit model was built. The built taking into account physical processes occurring in dielectric. attempt explaining why characteristics (modulus and phase) dielectric complex have such a character wide band (up to made. It shown that for constructing (structure parameters), measuring only resistance m...

We investigate a lattice construction method for the Coppersmith technique for finding small solu-tions of a modular equation. We consider its variant for simultaneous equations and propose a methodto construct a lattice by combining lattices for solving single equations. As applications, we consider(i) a new RSA cryptanalysis for multiple short secret exponents, (ii) its partial ke...

PURPOSE Ultraviolet (UV) corneal cross-linking is an accepted method for treating corneal ecstatic disorders. The authors evaluated whether a rapid treatment protocol (higher intensity and shorter irradiation time) could achieve the same increase in corneal stiffness as the currently used standard protocol. METHODS Stress-strain measurements were performed on porcine corneal strips. The corne...

Abstract This paper is concerned with the inverse random source problem for a stochastic time fractional diffusion equation, where assumed to be driven by Gaussian field. The direct shown well-posed examining well-posedness and regularity of solution equivalent two-point boundary value in frequency domain. For problem, Fourier modulus coefficient proved uniquely determined variance transform da...

We provide a Laakso construction to prove that the property of having an equivalent norm with the property (β) of Rolewicz is qualitatively preserved via surjective uniform quotient mappings between separable Banach spaces. On the other hand, we show that the (β)-modulus is not quantitatively preserved via such a map by exhibiting two uniformly homeomorphic Banach spaces that do not have (β)-mo...