Confidentiality and message authentication are the most important security goals that can be achieved simultaneously by Signcryption scheme. It is a cryptographic technique that performs both the functions of digital signature and public key encryption in a single logical step significantly at a lower cost than that of conventional method of signature-then-encryption. The paper proposes an effi...

Let S be a closed orientable surface of genus g. The mapping class group Mod(S) of S is defined as the group of isotopy classes of orientationpreserving diffeomorphisms S → S. We will need also the extended mapping class group Mod(S) of S which is defined as the group of isotopy classes of all diffeomorphisms S → S. Let us fix an orientation of S. Then the algebraic intersection number provides...

In this paper we present an improved technique for interactive rendering of caustics using programmable graphics hardware. Previous real-time methods have used simple prisms for the caustic volumes and a constant intensity approximation at the receiver. Our approach uses interpolated caustic volumes to render smooth high-quality caustics. We have derived a simple formula for evaluating the dens...

We argue that fermion-boson mapping techniques represent a natural tool for studying manybody supersymmetry in fermionic systems with pairing. In particular, using the generalized Dyson mapping of a many-level fermion superalgebra with the SU(2) type of pairing we investigate two kinds of supersymmetry connecting excitations in the systems with even and odd particle numbers: dynamical supersymm...

We aim at constructing a smooth basis for isogeometric function spaces on domains of reduced geometric regularity. In this context an isogeometric function is the composition of a piecewise rational function with the inverse of a piecewise rational geometry parameterization. We consider two types of singular parameterizations, domains where a part of the boundary is mapped onto one point and do...

An elastic spectral distance measure based on a F0 adaptive pitch synchronous spectral estimation and selective elimination of periodicity interferences, that was developed for a high-quality speech modification procedure STRAIGHT [1], is introduced to provide a basis for auditory morphing. The proposed measure is implemented on a low dimensional piecewise bilinear time-frequency mapping betwee...

Cryptographic pairing (bilinear mapping) is a core algorithm for various cryptography protocols. It is computationally expensive and inefficiently computed with general purpose processors. Although there has been previous work looking into efficient hardware designs for pairing, most of these systems use small characteristic curves which are incompatible with practical software designs. In this...

The paper deals with the realization theory of linear and bilinear hybrid systems, i.e. hybrid systems with continuous dynamics determined by linear ( respectively bilinear ) control systems. We will formulate necessary and sufficient conditions for the existence of a linear (bilinear ) hybrid system realizing the specified input/output maps. We will also present a characterization of a minimal...

This paper studies the realizability property of bilinear input-output (i/o) models in the classical state space form. Constraints on the parameters of the bilinear i/o model are suggested that lead to realizable models. The complete list of 2nd and 3rd order realizable inputoutput bilinear models together with the corresponding state equations is given. In the general case some subclasses of r...

Poisson superpair is a pair of Poisson superalgebra structures on a super commutative associative algebra, whose any linear combination is also a Poisson superalgebra structure. In this paper, we first construct certain linear and quadratic Poisson superpairs over a semi-finitely-filtered polarized Z2-graded associative algebra. Then we give a construction of certain Hamiltonian superpairs in t...