Triple-Protocol – A New Direction of Elliptic-Curve Cryptography
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 4
Abstract
The original triple-protocol is proposed, which is a modification of the well-known Massey - Omura protocol, but greatly improves it from the standpoint of efficiency and enables data to be validated for integrity and authenticity without the use of hash functions. This is ensured by forwarding through open channels to an external ("cloud") information carrier (and also directly to a participant in the information exchange) of some data obtained from mathematical and logical transformations above the original message. The combined use of modulo exponentiation and the XOR logical operation ("exclusive OR") ensures that unauthorized access for an intruder is impossible, bypassing the difficult mathematical problem of discrete logarithm (ECDLP), on which all the algorithms for data transfer on elliptical curves are based.
Authors and Affiliations
Vladyslav Baytalskyy
Asymptotics of Solution of a Boundary Value Problem for Quasilinear Non-Classical Type Dierential Equation of Arbitrary Odd Order
In a rectangle domain, a boundary value problem is considered for a singularly perturbed quasilinear non-classical type equation of arbitrary odd order, degenerating into a hyperbolic equation. Asymptotic expansion of th...
Mathematical Model of Dengue Disease Transmission Dynamics with Control Measures
Dengue disease is a mosquito-borne infectious tropical disease caused by the dengue viruses of four serotypes, DEN 1 - DEN 4. It is transmitted between people by the bite of female adult Aedes mosquitoes. In the present...
Asymptotic Behavior of the System of Second Order Nonlinear Difference Equations
This paper deals with dynamics of the solutions to the system of second order nonlinear difference equations xn+1 = xn/A + ynyn-1, yn+1 =yn/B + xnxn-1, n = 0, 1, · · · , where A ∈ (0,∞), x-i ∈ (0,∞), y-i ∈ (0,∞), i = 0,...
Existence and Uniqueness of Positive Periodic Solution of an Extended Rosenzweig-MacArthur Model via Brouwer's Topological Degree
The necessary conditions for existence of periodic solutions of an Extended Rosenzweig- MacArthur model are obtained using Brouwer’s degree. The forward invariant set is formulated to ensure the boundedness of the soluti...
Support Theorem for Random Evolution Equations in Hlderian Norm
In this paper, we purpose to prove the support theorem of the random evolution equation dX(t) = σ(X(t),Z(t))dWt + b(X(t), Y (t))dt (E) where X = {X(t), t ∈ [0; 1]} is the solution of (E) considered as which a random-vari...