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
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