Design of a Discrete Logarithmic Problem Based Exchange Public Key Cryptosystem in the Finite Algebraic Extension Field of a Finite Field
Journal Title: International Journal of Engineering and Science Invention - Year 2017, Vol 6, Issue 9
Abstract
Every user, while communicating privately over a public channel, wish for a trusted channel to communicate securely thus eliminating the least chance of the intruder getting access to it, either at transit or in store. Cryptography - the most popular technique to provide secure data communication is hence studied extensively from the middle of 1970’s. Even though there exists few limitations, cryptography is here to stay primarily because it has played a key role in providing strong, reliable, and robust network data security thus safeguarding users’ privacy. Through this research paper, authors propose a public key cryptosystem, which works in an algebraic extension field over a finite field. In the construction the authors use primitive polynomials over the finite field. In this system each user encrypted his text into two parts and sends the first part to the one. The receiver also encrypted the received text into two parts and sends the first part to the sender. This process can be repeated a finite number of times. The proposed system has all the major features of the popular exchange public key cryptosystem and the security of the system is as good as the difficulty of solving discrete logarithm problem (DLP) over the finite field. Proposed system is implemented and tested in Mat lab to verify its potential for implementation in the Open Systems.
Authors and Affiliations
M. I. Saju, P. L. Lilly
Keywords
Related Articles
- EP ID EP403385
- DOI -
- Views 71
- Downloads 0
Effective adsorption of Cr (VI) ions onto titanium dioxide immobilized high strength polyacrylamide hydrogels
The “2-in-1” type polyacrylamide (PAAm) composite hydrogel adsorbers were prepared by in-situ polymerization reaction of acrylamide (AAm) monomer in presence of nano-sized TiO2 particles together with a chemical crosslin...
Impact of anthropogenic activities on the Physiochemical dynamics of Gurgaon canal and its surrounding ecosystem: a case study of Nuh, Haryana
Water, the elixir of life, is a natural resource of utmost importance. Gurgaon canal being a paramount water resource for the Mewat region has been subjected to uncontrolled wastewater disposal. Its 30-km stretch passing...
Fem Analysis of Leaf Spring for Different Composite Materials at Full Load Condition
The Paper deals with the analysis of composite leaf spring on vehicles and their advantages. Efforts have been made to reduce the weight of composite leaf spring to that of steel leaf spring. The weight reduction of the...
Non-Homogeneous Bi-Quadratic Equation With Three Unknowns x2 3xy y2 z4
We obtain infinitely many non-zero integer triples (x, y, z) satisfying the non-homogeneous bi-quadratic equation with three unknowns x2 3xy y 2 z 4 . Various interesting properties among the values of x, y, z are...
Characterisation and Theorems on Quaternion Hermitian Doubly Stochastic Matrix:
The concepts of quaternion hermitian doubly stochastic are developed, basic theorems and some results for these matrices and characterization are analyzed with examples.