Many researchers have used the properties of popular Elliptic Curve Cryptography(ECC) to devise a stronger and faster image encryption algorithm assure secrecy images during online transmission. In this paper, robust curve based authentication model for both grayscale color has been proposed. The uses secure Diffie-Hellman(ECDH) key exchange compute shared session along with improved ElGamal en...

The Abel-Jacobi maps generalize the usual Jacobi map for curves to case of nonsingular complex projective varieties. Here, we study certain on moduli space parabolic stable bundles fixed rank, determinant and generic weight over a curve. We prove that are split surjections.

The concept of self-similarity is central to the notion of a fractal, but the actual symmetry group that generates that self-similarity is rarely named, and it seems fractals are almost never studied according to their symmetries. Yet, in other branches of mathematics and physics, it is well understood that symmetry provides a powerful mechanism for understanding systems. In this paper, we iden...

We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve.

The major problem in the assessment of relationships between rainfall and runoff occurs when a study is carried out in ungauged watersheds in the absence of hydro-climatic data. This study aims to evaluate the applicability of Natural Resources Conservation Service-Curve Number (NRCS-CN) method together with GIS in estimating runoff depth in a mountainous watershed. The study was carried out in...

Residue arithmetic [1-3] appears to be an attractive scheme for realizing a high speed numerical processor. Huang [4,5 ] was one of the first to suggest fabrication of an optical residue arithmetic processor. One recent optical approach [6] to such a system uses ~he phase or polarization of a spatial point as the cyclic variable. Another approach [7] uses pulse-position modulation to represent ...

We propose a flexible sampling method for warp maps used in continuous monotone pairwise alignment of open and closed curves, possibly with landmark constraints. Using the point process machinery, we conduct a detailed study of the sampling method and demonstrate that it prescribes a distribution on the set of warp maps of [0, 1] and the unit length circle S. The distribution (1) possesses the ...

We present a coprocessor design for fast arithmetic over large numbers of cryptographic sizes. Our design provides a efficient way to prevent side channel analysis as well as fault analysis targeting modular arithmetic with large prime or composite numbers. These two countermeasure are then suitable both for Elliptic Curve Cryptography over prime fields or RSA using CRT or not. To do so, we use...