The Maximum Distance Separable (MDS) mapping, used in cryptography deploys complex Galois field multiplications, which consume lots of area in hardware, making it a costly primitive for lightweight cryptography. Recently in lightweight hash function: PHOTON, a matrix denoted as ‘Serial’, which required less area for multiplication, has been multiplied 4 times to achieve a lightweight MDS mappin...

We introduce the notion of one-sided mapping cones positive linear maps between matrix algebras. These are convex that invariant under compositions by completely from either left or right side. The duals such can be characterized in terms ampliation maps, which also used to characterize many notions quantum information theory—such as separability, entanglement-breaking Schmidt numbers, well dec...

Fully polarimetric synthetic aperture radar (PolSAR) has the advantage for working at all time and all weather compared with optical remote sensing. It can provide four channel data, including HH, HV, VH, and VV, which is usually called sinclair matrix. The sinclair matrix can be used to describe the relative pure targets. Concerning to the distributed targets, it is necessary to use coherence ...

In this paper we introduce a sharpening of the Parikh mapping and investigate its basic properties. The new mapping is based on square matrices of a certain form. The classical Parikh vector appears in such a matrix as the second diagonal. However, the matrix product gives more information about a word than the Parikh vector. We characterize the matrix products and establish also an interesting...

For twice smooth functions, the symmetry of the matrix of second partial derivatives is automatic and can be seen as the symmetry of the Jacobian matrix of the gradient mapping. For nonsmooth functions, possibly even extended-real-valued, the gradient mapping can be replaced by a subgradient mapping, and generalized second derivative objects can then be introduced through graphical differentiat...

This paper shows that Cayley Transforms, which map Orthogonal and SkewSymmetric matrices, may be considered the extension to matrix field of the complex conformal mapping function f1(z) = 1− z 1 + x . Then, by using a set of real matrices which are, simultaneously, Orthogonal and Symmetric (the Ortho−Sym matrices), it similarly shows how to extend two complex conformal mapping functions (namely...