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
Impact of Delay in Immune Response Activation on HIV Infection Dynamics
In this work, we propose an HIV infection model with cure of infected cells in eclipse stage and delay in the activation of immune response. The stability of the equilibria and the existence of the Hopf bifurcation are i...
Calculation of Banzhaf Voting Indices Utilizing Variable-Entered Karnaugh Maps
This paper is a tutorial exposition on how to translate concepts of voting systems to the Boolean domain, and consequently on how to use Boolean tools in the computation of a prominent index of voting powers, viz., the B...
On Skew Circulant Type Matrices Involving any Continuous Pell Numbers
In this paper, the invertibility of the skew circulant type matrices are discussed, the determinants and the inverse matrices of them are given. We present the four kinds of norms and bounds for the spread of these speci...
SEIRS Model for Pediatrics with Lower Respiratory Tract Infection
The ability of the immune system to detect and eliminate most pathogens is essential for the survival of lower respiratory tract infection in 2016 by Olubadeji [1]. Lower respiratory tract infection (LRTI) constituted th...
Designing and Implementation of PIC Microcontroller Based Educational Kit
The microcontrollers are very common components in modern electronic systems. Their using is so widespread that it is almost impossible to work in electronics without coming across it. They are now providing us with a ne...