The YWRL’s revocable KP-ABE scheme [1] is based on the GPSW KP-ABE scheme [2]. There are eight algorithms in total, where the first four are the same with those in the GPSW scheme. Setup(1). This algorithm takes as input a security parameter κ and an attribute universe U = 1, 2, ..., N . It defines two multiplicative cyclic groups G1 and GT with prime order p, g1 as a generator of G1, and an ad...

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...

A Shallow Water Wave-like nonlinear differential equation is considered by using the generalized bilinear equation with the generalized bilinear derivatives 3,x D and 3,t D , which possesses the same bilinear form as the standard shallow water wave bilinear equation. By symbolic computation, four presented classes of rational solutions contain all rational solutions to the resulting Shallow Wat...

For an elliptic curve E over any field K, the Weil pairing en is a bilinear map on n-torsion. For K of characteristic p > 0, the map en is degenerate if and only if n is divisible by p. In this paper, we consider E over the dual numbers K[ ] and define a non-degenerate “Weil pairing on p-torsion” which shares many of the same properties of the Weil pairing. We also show that the discrete logari...

Classical surface parameterization algorithms often place singularities in order to enhance the quality of the resulting parameter map. Unfortunately, singularities of positive integral index (as the north pole of a sphere) were not handled since they cannot be described with piecewise linear parameter functions on a triangle mesh. Preprocessing is needed to adapt the mesh connectivity. We pres...

A paradigm for interpolating images based on a family of kernels is presented. Each kernel is "tuned" to specific image characteristics and contains the information responsible for the local creation of missing detail. This interpolation process (1) exploits the correlation that exists in the local structure of images via a self-organizing feature map (SOFM) and (2) establishes an optimal set o...

In this paper, we propose a new scaling algorithm which performs the scaling up/down transform using an area pixel model rather than a point pixel model. The proposed algorithm uses a variable number of pixels of an original image to calculate a pixel of the scaled image. Our algorithm has good characteristics such as fine-edge and good smoothness. Different quality parameters (standard deviati...

We propose an efficient Key-policy Attribute-based Encryption (KP-ABE) scheme for general (monotone) Boolean circuits based on secret sharing and on a very particular and simple form of leveled multilinear maps, called chained multilinear maps. The number of decryption key components is substantially reduced in comparison with the scheme in [6], and the size of the multilinear map (in terms of ...

Let Mn(R) be the algebra of all n×n matrices over a unital commutative ring R with 6 invertible. We say that A ∈ Mn(R) is a Jordan product determined point if for every R-module X and every symmetric R-bilinear map {·, ·} : Mn(R)×Mn(R) → X the following two conditions are equivalent: (i) there exists a fixed element w ∈ X such that {x, y} = w whenever x ◦ y = A, x, y ∈ Mn(R); (ii) there exists ...